What is the Least Common Multiple of 50944 and 50952?

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 50944 and 50952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50944 and 50952, than apply into the LCM equation.

GCF(50944,50952) = 8
LCM(50944,50952) = ( 50944 × 50952) / 8
LCM(50944,50952) = 2595698688 / 8
LCM(50944,50952) = 324462336

Least Common Multiple (LCM) of 50944 and 50952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50944 and 50952. First we will calculate the prime factors of 50944 and 50952.

Prime Factorization of 50944

Prime Factorization of 50952

Now multiplying the highest exponent prime factors to calculate the LCM of 50944 and 50952.

LCM(50944,50952) = 2⁸ × 199¹ × 3¹ × 11¹ × 193¹
LCM(50944,50952) = 324462336