What is the Least Common Multiple of 50688 and 50700?

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 50688 and 50700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50688 and 50700, than apply into the LCM equation.

GCF(50688,50700) = 12
LCM(50688,50700) = ( 50688 × 50700) / 12
LCM(50688,50700) = 2569881600 / 12
LCM(50688,50700) = 214156800

Least Common Multiple (LCM) of 50688 and 50700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50688 and 50700. First we will calculate the prime factors of 50688 and 50700.

Prime Factorization of 50688

Prime Factorization of 50700

Now multiplying the highest exponent prime factors to calculate the LCM of 50688 and 50700.

LCM(50688,50700) = 2⁹ × 3² × 11¹ × 5² × 13²
LCM(50688,50700) = 214156800