What is the Least Common Multiple of 50664 and 50672?

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 50664 and 50672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50664 and 50672, than apply into the LCM equation.

GCF(50664,50672) = 8
LCM(50664,50672) = ( 50664 × 50672) / 8
LCM(50664,50672) = 2567246208 / 8
LCM(50664,50672) = 320905776

Least Common Multiple (LCM) of 50664 and 50672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50664 and 50672. First we will calculate the prime factors of 50664 and 50672.

Prime Factorization of 50664

Prime Factorization of 50672

Now multiplying the highest exponent prime factors to calculate the LCM of 50664 and 50672.

LCM(50664,50672) = 2⁴ × 3¹ × 2111¹ × 3167¹
LCM(50664,50672) = 320905776