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What is the LCM of 22*33 and 23*32?
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What is the LCM of 22*33 and 23*32?
LCM of 22*33 and 23*32


Factorization

First, we need to factorize the given numbers.


  • 22*33 = 2 * 11 * 3 * 11

  • 23*32 = 23 * 2 * 2 * 2 * 2 * 2



Common Factors

Next, we need to identify the common factors in both the factorizations.


  • 22*33 = 2 * 11 * 3 * 11

  • 23*32 = 23 * 2 * 2 * 2 * 2 * 2


From the above factorizations, we can see that the common factors are:


  • 2



LCM Calculation

Finally, we can calculate the LCM by multiplying the common factors and the remaining factors from both the factorizations.

LCM = 2 * 11 * 3 * 11 * 23 * 2 * 2 * 2 * 2 * 2 = 3036 * 32 = 97152


Final Answer

Therefore, the LCM of 22*33 and 23*32 is 97152.
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What is the LCM of 22*33 and 23*32?
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