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What is the Least Common Multiple of 6104 and 6114?

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 6104 and 6114 is 18659928.

LCM(6104,6114) = 18659928

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Least Common Multiple of 6104 and 6114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6104 and 6114, than apply into the LCM equation.

GCF(6104,6114) = 2
LCM(6104,6114) = ( 6104 × 6114) / 2
LCM(6104,6114) = 37319856 / 2
LCM(6104,6114) = 18659928

Least Common Multiple (LCM) of 6104 and 6114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6104 and 6114. First we will calculate the prime factors of 6104 and 6114.

Prime Factorization of 6104

Prime factors of 6104 are 2, 7, 109. Prime factorization of 6104 in exponential form is:

6104 = 23 × 71 × 1091

Prime Factorization of 6114

Prime factors of 6114 are 2, 3, 1019. Prime factorization of 6114 in exponential form is:

6114 = 21 × 31 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 6104 and 6114.

LCM(6104,6114) = 23 × 71 × 1091 × 31 × 10191
LCM(6104,6114) = 18659928