# What is the LCM of 30 33?

330

Let's do the prime factorizations of both numbers first:

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Just another way.

Sometimes you can spot them and sometimes you can't. If you cant then it is a case of 'slogging' your way through to an answer.

Multiply 30 by any whole number and the last digit will be 0

So we could test the first multiple of 33 in which the last digit is 0.

multiply both sides by 10

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The Least Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both of them. To find the LCM of 30 and 33, we can first factorize each number into its prime factors, then take the highest power of each prime factor present in either number.

Prime factorization of 30: ( 30 = 2 \times 3 \times 5 )

Prime factorization of 33: ( 33 = 3 \times 11 )

To find the LCM:

- We need to take the highest power of each prime factor present in either number:
- The prime factorization of 30 includes ( 2^1 ), ( 3^1 ), and ( 5^1 ).
- The prime factorization of 33 includes ( 3^1 ) and ( 11^1 ).

So, the LCM of 30 and 33 is obtained by taking the highest power of each prime factor:

[ LCM(30, 33) = 2^1 \times 3^1 \times 5^1 \times 11^1 = 2 \times 3 \times 5 \times 11 = 330 ]

Therefore, the LCM of 30 and 33 is 330.

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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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