What is the Least Common Multiple of 51900 and 51909?

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 51900 and 51909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51900 and 51909, than apply into the LCM equation.

GCF(51900,51909) = 3
LCM(51900,51909) = ( 51900 × 51909) / 3
LCM(51900,51909) = 2694077100 / 3
LCM(51900,51909) = 898025700

Least Common Multiple (LCM) of 51900 and 51909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51900 and 51909. First we will calculate the prime factors of 51900 and 51909.

Prime Factorization of 51900

Prime Factorization of 51909

Now multiplying the highest exponent prime factors to calculate the LCM of 51900 and 51909.

LCM(51900,51909) = 2² × 3¹ × 5² × 173¹ × 11³ × 13¹
LCM(51900,51909) = 898025700