What is the Least Common Multiple of 50944 and 50953?

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 50953 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 50953, than apply into the LCM equation.

GCF(50944,50953) = 1
LCM(50944,50953) = ( 50944 × 50953) / 1
LCM(50944,50953) = 2595749632 / 1
LCM(50944,50953) = 2595749632

Least Common Multiple (LCM) of 50944 and 50953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50944 and 50953. First we will calculate the prime factors of 50944 and 50953.

Prime Factorization of 50944

Prime Factorization of 50953

Now multiplying the highest exponent prime factors to calculate the LCM of 50944 and 50953.

LCM(50944,50953) = 2⁸ × 199¹ × 7¹ × 29¹ × 251¹
LCM(50944,50953) = 2595749632