What is the Least Common Multiple of 60567 and 60576?

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 60567 and 60576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60567 and 60576, than apply into the LCM equation.

GCF(60567,60576) = 3
LCM(60567,60576) = ( 60567 × 60576) / 3
LCM(60567,60576) = 3668906592 / 3
LCM(60567,60576) = 1222968864

Least Common Multiple (LCM) of 60567 and 60576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60567 and 60576. First we will calculate the prime factors of 60567 and 60576.

Prime Factorization of 60567

Prime Factorization of 60576

Now multiplying the highest exponent prime factors to calculate the LCM of 60567 and 60576.

LCM(60567,60576) = 3¹ × 13¹ × 1553¹ × 2⁵ × 631¹
LCM(60567,60576) = 1222968864