What is the Least Common Multiple of 60024 and 60030?

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 60024 and 60030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60024 and 60030, than apply into the LCM equation.

GCF(60024,60030) = 6
LCM(60024,60030) = ( 60024 × 60030) / 6
LCM(60024,60030) = 3603240720 / 6
LCM(60024,60030) = 600540120

Least Common Multiple (LCM) of 60024 and 60030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60024 and 60030. First we will calculate the prime factors of 60024 and 60030.

Prime Factorization of 60024

Prime Factorization of 60030

Now multiplying the highest exponent prime factors to calculate the LCM of 60024 and 60030.

LCM(60024,60030) = 2³ × 3² × 41¹ × 61¹ × 5¹ × 23¹ × 29¹
LCM(60024,60030) = 600540120