What is the Least Common Multiple of 63660 and 63675?

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 63660 and 63675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63660 and 63675, than apply into the LCM equation.

GCF(63660,63675) = 15
LCM(63660,63675) = ( 63660 × 63675) / 15
LCM(63660,63675) = 4053550500 / 15
LCM(63660,63675) = 270236700

Least Common Multiple (LCM) of 63660 and 63675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63660 and 63675. First we will calculate the prime factors of 63660 and 63675.

Prime Factorization of 63660

Prime Factorization of 63675

Now multiplying the highest exponent prime factors to calculate the LCM of 63660 and 63675.

LCM(63660,63675) = 2² × 3² × 5² × 1061¹ × 283¹
LCM(63660,63675) = 270236700