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What is the Least Common Multiple of 13551 and 13557?

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 13551 and 13557 is 61236969.

LCM(13551,13557) = 61236969

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Least Common Multiple of 13551 and 13557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13551 and 13557, than apply into the LCM equation.

GCF(13551,13557) = 3
LCM(13551,13557) = ( 13551 × 13557) / 3
LCM(13551,13557) = 183710907 / 3
LCM(13551,13557) = 61236969

Least Common Multiple (LCM) of 13551 and 13557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13551 and 13557. First we will calculate the prime factors of 13551 and 13557.

Prime Factorization of 13551

Prime factors of 13551 are 3, 4517. Prime factorization of 13551 in exponential form is:

13551 = 31 × 45171

Prime Factorization of 13557

Prime factors of 13557 are 3, 4519. Prime factorization of 13557 in exponential form is:

13557 = 31 × 45191

Now multiplying the highest exponent prime factors to calculate the LCM of 13551 and 13557.

LCM(13551,13557) = 31 × 45171 × 45191
LCM(13551,13557) = 61236969