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# What is the least common multiple of 14 and 42?

Updated: 4/28/2022

Wiki User

8y ago

The LCM of 14 and 42 is 42.

The simplest method to determine the least common multiple in this case is to notice that 42 is a multiple of 14. Since 42 is a multiple of 14, the least common multiple is 42.

To determine the least common multiple of two numbers, you can also determine the prime factors of both numbers. Then, determine the prime factors they have in common. Multiply all their prime factors together (in other words, multiply both numbers together) and divide by the prime factors they have in common (in other words, their greatest common factor).

The prime factors of 14 are 2 and 7.

The prime factors of 42 are 2, 3, and 7.

The greatest common factor of 14 and 42 is 14.

So, the least common multiple of 14 and 42 is (2x7) x (2x3x7) ÷ 14 = 42.

Wiki User

8y ago

Wiki User

14y ago

The Least Common Multiple of 42 and 14 is 42.

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