What is the Least Common Multiple of 60648 and 60664?

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 60648 and 60664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60648 and 60664, than apply into the LCM equation.

GCF(60648,60664) = 8
LCM(60648,60664) = ( 60648 × 60664) / 8
LCM(60648,60664) = 3679150272 / 8
LCM(60648,60664) = 459893784

Least Common Multiple (LCM) of 60648 and 60664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60648 and 60664. First we will calculate the prime factors of 60648 and 60664.

Prime Factorization of 60648

Prime Factorization of 60664

Now multiplying the highest exponent prime factors to calculate the LCM of 60648 and 60664.

LCM(60648,60664) = 2³ × 3¹ × 7¹ × 19² × 7583¹
LCM(60648,60664) = 459893784