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LCM Full Form:

Definition:
LCM stands for Least Common Multiple. It is the smallest multiple that is exactly divisible by two or more given numbers without leaving a remainder.

Explanation:
When finding the LCM of two or more numbers, you identify the common multiples of the numbers and choose the smallest one. For example, when finding the LCM of 4 and 6, the common multiples are 12, 24, 36, etc. The smallest common multiple, which is 12, is the LCM of 4 and 6.

Importance:
LCM is crucial in various mathematical calculations, such as adding and subtracting fractions, simplifying algebraic expressions, and solving word problems involving multiple quantities.

Calculation:
To find the LCM of two or more numbers, you can use methods like prime factorization, listing multiples, or using the division method. The prime factorization method involves breaking down each number into its prime factors and then multiplying the highest power of each prime factor.

Example:
For finding the LCM of 12 and 18:
12 = 2^2 * 3
18 = 2 * 3^2
LCM = 2^2 * 3^2 = 36

Conclusion:
Understanding LCM is essential for various mathematical operations and problem-solving. It helps in simplifying calculations and finding common multiples efficiently.

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