What is the Least Common Multiple of 60864 and 60879?

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 60864 and 60879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60864 and 60879, than apply into the LCM equation.

GCF(60864,60879) = 3
LCM(60864,60879) = ( 60864 × 60879) / 3
LCM(60864,60879) = 3705339456 / 3
LCM(60864,60879) = 1235113152

Least Common Multiple (LCM) of 60864 and 60879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60864 and 60879. First we will calculate the prime factors of 60864 and 60879.

Prime Factorization of 60864

Prime Factorization of 60879

Now multiplying the highest exponent prime factors to calculate the LCM of 60864 and 60879.

LCM(60864,60879) = 2⁶ × 3¹ × 317¹ × 7¹ × 13¹ × 223¹
LCM(60864,60879) = 1235113152