What is the Least Common Multiple of 60456 and 60462?

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 60456 and 60462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60456 and 60462, than apply into the LCM equation.

GCF(60456,60462) = 6
LCM(60456,60462) = ( 60456 × 60462) / 6
LCM(60456,60462) = 3655290672 / 6
LCM(60456,60462) = 609215112

Least Common Multiple (LCM) of 60456 and 60462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60456 and 60462. First we will calculate the prime factors of 60456 and 60462.

Prime Factorization of 60456

Prime Factorization of 60462

Now multiplying the highest exponent prime factors to calculate the LCM of 60456 and 60462.

LCM(60456,60462) = 2³ × 3² × 11¹ × 229¹ × 3359¹
LCM(60456,60462) = 609215112