What is the Least Common Multiple of 60564 and 60568?

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 60564 and 60568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60564 and 60568, than apply into the LCM equation.

GCF(60564,60568) = 4
LCM(60564,60568) = ( 60564 × 60568) / 4
LCM(60564,60568) = 3668240352 / 4
LCM(60564,60568) = 917060088

Least Common Multiple (LCM) of 60564 and 60568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60564 and 60568. First we will calculate the prime factors of 60564 and 60568.

Prime Factorization of 60564

Prime Factorization of 60568

Now multiplying the highest exponent prime factors to calculate the LCM of 60564 and 60568.

LCM(60564,60568) = 2³ × 3¹ × 7² × 103¹ × 67¹ × 113¹
LCM(60564,60568) = 917060088