What is the Least Common Multiple of 50736 and 50748?

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 50736 and 50748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50736 and 50748, than apply into the LCM equation.

GCF(50736,50748) = 12
LCM(50736,50748) = ( 50736 × 50748) / 12
LCM(50736,50748) = 2574750528 / 12
LCM(50736,50748) = 214562544

Least Common Multiple (LCM) of 50736 and 50748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50736 and 50748. First we will calculate the prime factors of 50736 and 50748.

Prime Factorization of 50736

Prime Factorization of 50748

Now multiplying the highest exponent prime factors to calculate the LCM of 50736 and 50748.

LCM(50736,50748) = 2⁴ × 3¹ × 7¹ × 151¹ × 4229¹
LCM(50736,50748) = 214562544