What is the Least Common Multiple of 6132 and 6147?

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 of 6132 and 6147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6132 and 6147, than apply into the LCM equation.

GCF(6132,6147) = 3
LCM(6132,6147) = ( 6132 × 6147) / 3
LCM(6132,6147) = 37693404 / 3
LCM(6132,6147) = 12564468

Least Common Multiple (LCM) of 6132 and 6147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6132 and 6147. First we will calculate the prime factors of 6132 and 6147.

Prime Factorization of 6132

Prime Factorization of 6147

Now multiplying the highest exponent prime factors to calculate the LCM of 6132 and 6147.

LCM(6132,6147) = 2² × 3² × 7¹ × 73¹ × 683¹
LCM(6132,6147) = 12564468