What is the Least Common Multiple of 60456 and 60460?

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 60460 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 60460, than apply into the LCM equation.

GCF(60456,60460) = 4
LCM(60456,60460) = ( 60456 × 60460) / 4
LCM(60456,60460) = 3655169760 / 4
LCM(60456,60460) = 913792440

Least Common Multiple (LCM) of 60456 and 60460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60456 and 60460. First we will calculate the prime factors of 60456 and 60460.

Prime Factorization of 60456

Prime Factorization of 60460

Now multiplying the highest exponent prime factors to calculate the LCM of 60456 and 60460.

LCM(60456,60460) = 2³ × 3¹ × 11¹ × 229¹ × 5¹ × 3023¹
LCM(60456,60460) = 913792440