What is the Least Common Multiple of 60660 and 60675?

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 60660 and 60675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60660 and 60675, than apply into the LCM equation.

GCF(60660,60675) = 15
LCM(60660,60675) = ( 60660 × 60675) / 15
LCM(60660,60675) = 3680545500 / 15
LCM(60660,60675) = 245369700

Least Common Multiple (LCM) of 60660 and 60675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60660 and 60675. First we will calculate the prime factors of 60660 and 60675.

Prime Factorization of 60660

Prime Factorization of 60675

Now multiplying the highest exponent prime factors to calculate the LCM of 60660 and 60675.

LCM(60660,60675) = 2² × 3² × 5² × 337¹ × 809¹
LCM(60660,60675) = 245369700