What is the Least Common Multiple of 6108 and 6125?

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 6108 and 6125 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 6125, than apply into the LCM equation.

GCF(6108,6125) = 1
LCM(6108,6125) = ( 6108 × 6125) / 1
LCM(6108,6125) = 37411500 / 1
LCM(6108,6125) = 37411500

Least Common Multiple (LCM) of 6108 and 6125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6108 and 6125. First we will calculate the prime factors of 6108 and 6125.

Prime Factorization of 6108

Prime Factorization of 6125

Now multiplying the highest exponent prime factors to calculate the LCM of 6108 and 6125.

LCM(6108,6125) = 2² × 3¹ × 509¹ × 5³ × 7²
LCM(6108,6125) = 37411500