What is the Least Common Multiple of 60444 and 60456?

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 60444 and 60456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60444 and 60456, than apply into the LCM equation.

GCF(60444,60456) = 12
LCM(60444,60456) = ( 60444 × 60456) / 12
LCM(60444,60456) = 3654202464 / 12
LCM(60444,60456) = 304516872

Least Common Multiple (LCM) of 60444 and 60456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60444 and 60456. First we will calculate the prime factors of 60444 and 60456.

Prime Factorization of 60444

Prime Factorization of 60456

Now multiplying the highest exponent prime factors to calculate the LCM of 60444 and 60456.

LCM(60444,60456) = 2³ × 3² × 23¹ × 73¹ × 11¹ × 229¹
LCM(60444,60456) = 304516872