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What is the Least Common Multiple of 6149 and 6168?

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 6149 and 6168 is 37927032.

LCM(6149,6168) = 37927032

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Least Common Multiple of 6149 and 6168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6149 and 6168, than apply into the LCM equation.

GCF(6149,6168) = 1
LCM(6149,6168) = ( 6149 × 6168) / 1
LCM(6149,6168) = 37927032 / 1
LCM(6149,6168) = 37927032

Least Common Multiple (LCM) of 6149 and 6168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6149 and 6168. First we will calculate the prime factors of 6149 and 6168.

Prime Factorization of 6149

Prime factors of 6149 are 11, 13, 43. Prime factorization of 6149 in exponential form is:

6149 = 111 × 131 × 431

Prime Factorization of 6168

Prime factors of 6168 are 2, 3, 257. Prime factorization of 6168 in exponential form is:

6168 = 23 × 31 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 6149 and 6168.

LCM(6149,6168) = 111 × 131 × 431 × 23 × 31 × 2571
LCM(6149,6168) = 37927032