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What is the Least Common Multiple of 13672 and 13684?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 13672 and 13684 is 46771912.

LCM(13672,13684) = 46771912

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Least Common Multiple of 13672 and 13684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13672 and 13684, than apply into the LCM equation.

GCF(13672,13684) = 4
LCM(13672,13684) = ( 13672 × 13684) / 4
LCM(13672,13684) = 187087648 / 4
LCM(13672,13684) = 46771912

Least Common Multiple (LCM) of 13672 and 13684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13672 and 13684. First we will calculate the prime factors of 13672 and 13684.

Prime Factorization of 13672

Prime factors of 13672 are 2, 1709. Prime factorization of 13672 in exponential form is:

13672 = 23 × 17091

Prime Factorization of 13684

Prime factors of 13684 are 2, 11, 311. Prime factorization of 13684 in exponential form is:

13684 = 22 × 111 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 13672 and 13684.

LCM(13672,13684) = 23 × 17091 × 111 × 3111
LCM(13672,13684) = 46771912