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What is the Least Common Multiple of 6117 and 6135?

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 6117 and 6135 is 12509265.

LCM(6117,6135) = 12509265

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Least Common Multiple of 6117 and 6135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6117 and 6135, than apply into the LCM equation.

GCF(6117,6135) = 3
LCM(6117,6135) = ( 6117 × 6135) / 3
LCM(6117,6135) = 37527795 / 3
LCM(6117,6135) = 12509265

Least Common Multiple (LCM) of 6117 and 6135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6117 and 6135. First we will calculate the prime factors of 6117 and 6135.

Prime Factorization of 6117

Prime factors of 6117 are 3, 2039. Prime factorization of 6117 in exponential form is:

6117 = 31 × 20391

Prime Factorization of 6135

Prime factors of 6135 are 3, 5, 409. Prime factorization of 6135 in exponential form is:

6135 = 31 × 51 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 6117 and 6135.

LCM(6117,6135) = 31 × 20391 × 51 × 4091
LCM(6117,6135) = 12509265