This page provides a brief overview of finding *least common multiple using factorization method*.

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Consider finding the LCM of `36` and `48`. Is it simple to list the multiples of the numbers?

- for large numbers, listing the multiples is hard
- for large numbers, listing the multiples is hard
- for any large numbers, listing the multiples is simple

The answer is "for large numbers, listing the multiples is hard".

Consider finding the LCM of `36` and `48`. Which of the following helps to simplify the problem?

- Prime factorization of the numbers
- Prime factorization of the numbers
- addition and subtraction of the numbers

The answer is "prime factorization of numbers".

Consider finding the LCM of `36` and `48`. A simplified procedure is given in the figure. The numbers are divided successively by common factors. The common factors and non-common factors are multiplied to get LCM.

**Factorization Method to find LCM** : The numbers are successively divided by common factors. Product of common factors and the non-common factors is the LCM. An example with numbers `36` and `48` is given in the figure.

Find the LCM of `280` and `420`?

Use the Factorization Method to find the LCM.

- `840`
- `840`
- `84`

The answer is "`840`".

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