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Product of two co-prime numbers is 117. Then their L.C.M. is
- a)9
- b)117
- c)39
- d)13
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Product of two co-prime numbers is 117. Then their L.C.M. isa)9b)117c)...
Understanding Co-prime Numbers
Co-prime numbers are two integers that have no common factors other than 1. This means their greatest common divisor (GCD) is 1.
Product of Co-prime Numbers
When two co-prime numbers are multiplied, their product is equal to the product of their LCM and GCD. Since the GCD of co-prime numbers is 1, we can express this relationship as:
- Product = LCM × GCD
- Given: Product = 117
- GCD = 1 (for co-prime numbers)
Calculating LCM
Using the relationship:
- 117 = LCM × 1
- Therefore, LCM = 117
This indicates that the least common multiple (LCM) of the two co-prime numbers is simply their product, which is 117.
Conclusion
Hence, the LCM of two co-prime numbers whose product is 117 is:
- Correct answer: Option B (117)
This conclusion is valid because, for co-prime numbers, the LCM is always equal to the product of the numbers, confirming that the answer is indeed 117.
Co-prime numbers are two integers that have no common factors other than 1. This means their greatest common divisor (GCD) is 1.
Product of Co-prime Numbers
When two co-prime numbers are multiplied, their product is equal to the product of their LCM and GCD. Since the GCD of co-prime numbers is 1, we can express this relationship as:
- Product = LCM × GCD
- Given: Product = 117
- GCD = 1 (for co-prime numbers)
Calculating LCM
Using the relationship:
- 117 = LCM × 1
- Therefore, LCM = 117
This indicates that the least common multiple (LCM) of the two co-prime numbers is simply their product, which is 117.
Conclusion
Hence, the LCM of two co-prime numbers whose product is 117 is:
- Correct answer: Option B (117)
This conclusion is valid because, for co-prime numbers, the LCM is always equal to the product of the numbers, confirming that the answer is indeed 117.
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Community Answer
Product of two co-prime numbers is 117. Then their L.C.M. isa)9b)117c)...
HCF of two-prime numbers = 1
∴ Product of numbers = their LCM = 117
117 = 13 × 9 where 13 & 9 are co-prime. L.C.M (13,9) = 117.
∴ Product of numbers = their LCM = 117
117 = 13 × 9 where 13 & 9 are co-prime. L.C.M (13,9) = 117.
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Product of two co-prime numbers is 117. Then their L.C.M. isa)9b)117c)39d)13Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Product of two co-prime numbers is 117. Then their L.C.M. isa)9b)117c)39d)13Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Product of two co-prime numbers is 117. Then their L.C.M. isa)9b)117c)39d)13Correct answer is option 'B'. Can you explain this answer?.
Product of two co-prime numbers is 117. Then their L.C.M. isa)9b)117c)39d)13Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Product of two co-prime numbers is 117. Then their L.C.M. isa)9b)117c)39d)13Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Product of two co-prime numbers is 117. Then their L.C.M. isa)9b)117c)39d)13Correct answer is option 'B'. Can you explain this answer?.
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