What is the Least Common Multiple of 50508 and 50528?

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 50508 and 50528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50508 and 50528, than apply into the LCM equation.

GCF(50508,50528) = 4
LCM(50508,50528) = ( 50508 × 50528) / 4
LCM(50508,50528) = 2552068224 / 4
LCM(50508,50528) = 638017056

Least Common Multiple (LCM) of 50508 and 50528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50508 and 50528. First we will calculate the prime factors of 50508 and 50528.

Prime Factorization of 50508

Prime Factorization of 50528

Now multiplying the highest exponent prime factors to calculate the LCM of 50508 and 50528.

LCM(50508,50528) = 2⁵ × 3² × 23¹ × 61¹ × 1579¹
LCM(50508,50528) = 638017056