What is the Least Common Multiple of 60270 and 60288?

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 60270 and 60288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60270 and 60288, than apply into the LCM equation.

GCF(60270,60288) = 6
LCM(60270,60288) = ( 60270 × 60288) / 6
LCM(60270,60288) = 3633557760 / 6
LCM(60270,60288) = 605592960

Least Common Multiple (LCM) of 60270 and 60288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60270 and 60288. First we will calculate the prime factors of 60270 and 60288.

Prime Factorization of 60270

Prime Factorization of 60288

Now multiplying the highest exponent prime factors to calculate the LCM of 60270 and 60288.

LCM(60270,60288) = 2⁷ × 3¹ × 5¹ × 7² × 41¹ × 157¹
LCM(60270,60288) = 605592960