What is the Least Common Multiple of 51885 and 51900?

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 51885 and 51900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51885 and 51900, than apply into the LCM equation.

GCF(51885,51900) = 15
LCM(51885,51900) = ( 51885 × 51900) / 15
LCM(51885,51900) = 2692831500 / 15
LCM(51885,51900) = 179522100

Least Common Multiple (LCM) of 51885 and 51900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51885 and 51900. First we will calculate the prime factors of 51885 and 51900.

Prime Factorization of 51885

Prime Factorization of 51900

Now multiplying the highest exponent prime factors to calculate the LCM of 51885 and 51900.

LCM(51885,51900) = 3² × 5² × 1153¹ × 2² × 173¹
LCM(51885,51900) = 179522100