What is the Least Common Multiple of 50920 and 50938?

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 50920 and 50938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50920 and 50938, than apply into the LCM equation.

GCF(50920,50938) = 2
LCM(50920,50938) = ( 50920 × 50938) / 2
LCM(50920,50938) = 2593762960 / 2
LCM(50920,50938) = 1296881480

Least Common Multiple (LCM) of 50920 and 50938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50920 and 50938. First we will calculate the prime factors of 50920 and 50938.

Prime Factorization of 50920

Prime Factorization of 50938

Now multiplying the highest exponent prime factors to calculate the LCM of 50920 and 50938.

LCM(50920,50938) = 2³ × 5¹ × 19¹ × 67¹ × 25469¹
LCM(50920,50938) = 1296881480