What is the Least Common Multiple of 50944 and 50948?

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 50948 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 50948, than apply into the LCM equation.

GCF(50944,50948) = 4
LCM(50944,50948) = ( 50944 × 50948) / 4
LCM(50944,50948) = 2595494912 / 4
LCM(50944,50948) = 648873728

Least Common Multiple (LCM) of 50944 and 50948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50944 and 50948. First we will calculate the prime factors of 50944 and 50948.

Prime Factorization of 50944

Prime Factorization of 50948

Now multiplying the highest exponent prime factors to calculate the LCM of 50944 and 50948.

LCM(50944,50948) = 2⁸ × 199¹ × 47¹ × 271¹
LCM(50944,50948) = 648873728