What is the Least Common Multiple of 63885 and 63900?

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 63885 and 63900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63885 and 63900, than apply into the LCM equation.

GCF(63885,63900) = 15
LCM(63885,63900) = ( 63885 × 63900) / 15
LCM(63885,63900) = 4082251500 / 15
LCM(63885,63900) = 272150100

Least Common Multiple (LCM) of 63885 and 63900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63885 and 63900. First we will calculate the prime factors of 63885 and 63900.

Prime Factorization of 63885

Prime Factorization of 63900

Now multiplying the highest exponent prime factors to calculate the LCM of 63885 and 63900.

LCM(63885,63900) = 3² × 5² × 4259¹ × 2² × 71¹
LCM(63885,63900) = 272150100