What is the Least Common Multiple of 50672 and 50688?

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 50672 and 50688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50672 and 50688, than apply into the LCM equation.

GCF(50672,50688) = 16
LCM(50672,50688) = ( 50672 × 50688) / 16
LCM(50672,50688) = 2568462336 / 16
LCM(50672,50688) = 160528896

Least Common Multiple (LCM) of 50672 and 50688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50672 and 50688. First we will calculate the prime factors of 50672 and 50688.

Prime Factorization of 50672

Prime Factorization of 50688

Now multiplying the highest exponent prime factors to calculate the LCM of 50672 and 50688.

LCM(50672,50688) = 2⁹ × 3167¹ × 3² × 11¹
LCM(50672,50688) = 160528896