What is the Least Common Multiple of 60015 and 60024?

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 60015 and 60024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60015 and 60024, than apply into the LCM equation.

GCF(60015,60024) = 3
LCM(60015,60024) = ( 60015 × 60024) / 3
LCM(60015,60024) = 3602340360 / 3
LCM(60015,60024) = 1200780120

Least Common Multiple (LCM) of 60015 and 60024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60015 and 60024. First we will calculate the prime factors of 60015 and 60024.

Prime Factorization of 60015

Prime Factorization of 60024

Now multiplying the highest exponent prime factors to calculate the LCM of 60015 and 60024.

LCM(60015,60024) = 3¹ × 5¹ × 4001¹ × 2³ × 41¹ × 61¹
LCM(60015,60024) = 1200780120