What is the Least Common Multiple of 50352 and 50372?

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 50352 and 50372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50352 and 50372, than apply into the LCM equation.

GCF(50352,50372) = 4
LCM(50352,50372) = ( 50352 × 50372) / 4
LCM(50352,50372) = 2536330944 / 4
LCM(50352,50372) = 634082736

Least Common Multiple (LCM) of 50352 and 50372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50352 and 50372. First we will calculate the prime factors of 50352 and 50372.

Prime Factorization of 50352

Prime Factorization of 50372

Now multiplying the highest exponent prime factors to calculate the LCM of 50352 and 50372.

LCM(50352,50372) = 2⁴ × 3¹ × 1049¹ × 7² × 257¹
LCM(50352,50372) = 634082736