What is the Least Common Multiple of 50528 and 50538?

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 50528 and 50538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50528 and 50538, than apply into the LCM equation.

GCF(50528,50538) = 2
LCM(50528,50538) = ( 50528 × 50538) / 2
LCM(50528,50538) = 2553584064 / 2
LCM(50528,50538) = 1276792032

Least Common Multiple (LCM) of 50528 and 50538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50528 and 50538. First we will calculate the prime factors of 50528 and 50538.

Prime Factorization of 50528

Prime Factorization of 50538

Now multiplying the highest exponent prime factors to calculate the LCM of 50528 and 50538.

LCM(50528,50538) = 2⁵ × 1579¹ × 3¹ × 8423¹
LCM(50528,50538) = 1276792032