What is the Least Common Multiple of 50700 and 50720?

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 50700 and 50720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50700 and 50720, than apply into the LCM equation.

GCF(50700,50720) = 20
LCM(50700,50720) = ( 50700 × 50720) / 20
LCM(50700,50720) = 2571504000 / 20
LCM(50700,50720) = 128575200

Least Common Multiple (LCM) of 50700 and 50720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50700 and 50720. First we will calculate the prime factors of 50700 and 50720.

Prime Factorization of 50700

Prime Factorization of 50720

Now multiplying the highest exponent prime factors to calculate the LCM of 50700 and 50720.

LCM(50700,50720) = 2⁵ × 3¹ × 5² × 13² × 317¹
LCM(50700,50720) = 128575200