What is the Least Common Multiple of 60540 and 60552?

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 60540 and 60552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60540 and 60552, than apply into the LCM equation.

GCF(60540,60552) = 12
LCM(60540,60552) = ( 60540 × 60552) / 12
LCM(60540,60552) = 3665818080 / 12
LCM(60540,60552) = 305484840

Least Common Multiple (LCM) of 60540 and 60552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60540 and 60552. First we will calculate the prime factors of 60540 and 60552.

Prime Factorization of 60540

Prime Factorization of 60552

Now multiplying the highest exponent prime factors to calculate the LCM of 60540 and 60552.

LCM(60540,60552) = 2³ × 3² × 5¹ × 1009¹ × 29²
LCM(60540,60552) = 305484840