What is the Least Common Multiple of 6120 and 6135?

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 6120 and 6135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6120 and 6135, than apply into the LCM equation.

GCF(6120,6135) = 15
LCM(6120,6135) = ( 6120 × 6135) / 15
LCM(6120,6135) = 37546200 / 15
LCM(6120,6135) = 2503080

Least Common Multiple (LCM) of 6120 and 6135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6120 and 6135. First we will calculate the prime factors of 6120 and 6135.

Prime Factorization of 6120

Prime Factorization of 6135

Now multiplying the highest exponent prime factors to calculate the LCM of 6120 and 6135.

LCM(6120,6135) = 2³ × 3² × 5¹ × 17¹ × 409¹
LCM(6120,6135) = 2503080