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What is the Least Common Multiple of 13672 and 13677?

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 13677 is 186991944.

LCM(13672,13677) = 186991944

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Least Common Multiple of 13672 and 13677 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 13677, than apply into the LCM equation.

GCF(13672,13677) = 1
LCM(13672,13677) = ( 13672 × 13677) / 1
LCM(13672,13677) = 186991944 / 1
LCM(13672,13677) = 186991944

Least Common Multiple (LCM) of 13672 and 13677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13672 and 13677. First we will calculate the prime factors of 13672 and 13677.

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 13677

Prime factors of 13677 are 3, 47, 97. Prime factorization of 13677 in exponential form is:

13677 = 31 × 471 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 13672 and 13677.

LCM(13672,13677) = 23 × 17091 × 31 × 471 × 971
LCM(13672,13677) = 186991944