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What is the Least Common Multiple of 13677 and 13697?

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 13677 and 13697 is 187333869.

LCM(13677,13697) = 187333869

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Least Common Multiple of 13677 and 13697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13677 and 13697, than apply into the LCM equation.

GCF(13677,13697) = 1
LCM(13677,13697) = ( 13677 × 13697) / 1
LCM(13677,13697) = 187333869 / 1
LCM(13677,13697) = 187333869

Least Common Multiple (LCM) of 13677 and 13697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13677 and 13697. First we will calculate the prime factors of 13677 and 13697.

Prime Factorization of 13677

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

13677 = 31 × 471 × 971

Prime Factorization of 13697

Prime factors of 13697 are 13697. Prime factorization of 13697 in exponential form is:

13697 = 136971

Now multiplying the highest exponent prime factors to calculate the LCM of 13677 and 13697.

LCM(13677,13697) = 31 × 471 × 971 × 136971
LCM(13677,13697) = 187333869