What is the Least Common Multiple of 50649 and 50664?

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 50649 and 50664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50649 and 50664, than apply into the LCM equation.

GCF(50649,50664) = 3
LCM(50649,50664) = ( 50649 × 50664) / 3
LCM(50649,50664) = 2566080936 / 3
LCM(50649,50664) = 855360312

Least Common Multiple (LCM) of 50649 and 50664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50649 and 50664. First we will calculate the prime factors of 50649 and 50664.

Prime Factorization of 50649

Prime Factorization of 50664

Now multiplying the highest exponent prime factors to calculate the LCM of 50649 and 50664.

LCM(50649,50664) = 3¹ × 16883¹ × 2³ × 2111¹
LCM(50649,50664) = 855360312