GCF and LCM Calculator Logo

What is the Least Common Multiple of 6152 and 6171?

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 6152 and 6171 is 37963992.

LCM(6152,6171) = 37963992

LCM Calculator and
and

Least Common Multiple of 6152 and 6171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6152 and 6171, than apply into the LCM equation.

GCF(6152,6171) = 1
LCM(6152,6171) = ( 6152 × 6171) / 1
LCM(6152,6171) = 37963992 / 1
LCM(6152,6171) = 37963992

Least Common Multiple (LCM) of 6152 and 6171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6152 and 6171. First we will calculate the prime factors of 6152 and 6171.

Prime Factorization of 6152

Prime factors of 6152 are 2, 769. Prime factorization of 6152 in exponential form is:

6152 = 23 × 7691

Prime Factorization of 6171

Prime factors of 6171 are 3, 11, 17. Prime factorization of 6171 in exponential form is:

6171 = 31 × 112 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 6152 and 6171.

LCM(6152,6171) = 23 × 7691 × 31 × 112 × 171
LCM(6152,6171) = 37963992