What is the least common multiple of 32, 15, and 36?

Answer 1

#"LCM"(32,15,36)=1440#

The least common multiple (LCM) can be found by taking the power of the highest power used of each prime after examining the prime factorization of all of our given values. This allows us to make sure that the prime factorization of our LCM contains the prime factorizations of all of our initial values, i.e., it is divisible by each.

#32 = 2^5# #15 = 3*5# #36 = 2^2*3^2#
The highest power of #2# used is #5#. The highest power of #3# used is #2#. The highest power of #5# used is #1#. No other primes were used.

Given the foregoing, the LCM will be

#2^5*3^2*5 = 1440#
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Answer 2

To find the least common multiple (LCM) of 32, 15, and 36, you can start by finding the prime factorization of each number:

  • 32 = 2^5
  • 15 = 3 * 5
  • 36 = 2^2 * 3^2

Then, identify the highest power of each prime factor that appears in any of the factorizations:

  • The highest power of 2 is 5 (from 32).
  • The highest power of 3 is 2 (from 36).
  • The highest power of 5 is 1 (from 15).

Multiply these highest powers together to find the LCM:

[LCM = 2^5 * 3^2 * 5^1] [LCM = 32 * 9 * 5] [LCM = 1440]

So, the least common multiple of 32, 15, and 36 is 1440.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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