# What is the LCM of 30 33?

##### 2 Answers

330

#### Explanation:

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

The LCM will have in it a

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.

#### Explanation:

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

Examples:

For the multiple to be common this means the last digit of

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

We know that

We also know that 3 multiplied by any number between 1 and 9 does not give 0 as a last digit. So 10 is a good candidate.

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All we need to do now is make sure that 30 divides exactly into 330

multiply both sides by 10