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What is the Least Common Multiple of 6108 and 6121?

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 6108 and 6121 is 37387068.

LCM(6108,6121) = 37387068

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Least Common Multiple of 6108 and 6121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6108 and 6121, than apply into the LCM equation.

GCF(6108,6121) = 1
LCM(6108,6121) = ( 6108 × 6121) / 1
LCM(6108,6121) = 37387068 / 1
LCM(6108,6121) = 37387068

Least Common Multiple (LCM) of 6108 and 6121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6108 and 6121. First we will calculate the prime factors of 6108 and 6121.

Prime Factorization of 6108

Prime factors of 6108 are 2, 3, 509. Prime factorization of 6108 in exponential form is:

6108 = 22 × 31 × 5091

Prime Factorization of 6121

Prime factors of 6121 are 6121. Prime factorization of 6121 in exponential form is:

6121 = 61211

Now multiplying the highest exponent prime factors to calculate the LCM of 6108 and 6121.

LCM(6108,6121) = 22 × 31 × 5091 × 61211
LCM(6108,6121) = 37387068