What is the Least Common Multiple of 60255 and 60264?

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 60255 and 60264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60255 and 60264, than apply into the LCM equation.

GCF(60255,60264) = 9
LCM(60255,60264) = ( 60255 × 60264) / 9
LCM(60255,60264) = 3631207320 / 9
LCM(60255,60264) = 403467480

Least Common Multiple (LCM) of 60255 and 60264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60255 and 60264. First we will calculate the prime factors of 60255 and 60264.

Prime Factorization of 60255

Prime Factorization of 60264

Now multiplying the highest exponent prime factors to calculate the LCM of 60255 and 60264.

LCM(60255,60264) = 3⁵ × 5¹ × 13¹ × 103¹ × 2³ × 31¹
LCM(60255,60264) = 403467480