What is the Least Common Multiple of 51372 and 51384?

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 51372 and 51384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51372 and 51384, than apply into the LCM equation.

GCF(51372,51384) = 12
LCM(51372,51384) = ( 51372 × 51384) / 12
LCM(51372,51384) = 2639698848 / 12
LCM(51372,51384) = 219974904

Least Common Multiple (LCM) of 51372 and 51384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51372 and 51384. First we will calculate the prime factors of 51372 and 51384.

Prime Factorization of 51372

Prime Factorization of 51384

Now multiplying the highest exponent prime factors to calculate the LCM of 51372 and 51384.

LCM(51372,51384) = 2³ × 3² × 1427¹ × 2141¹
LCM(51372,51384) = 219974904