What is the Least Common Multiple of 50560 and 50572?

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 50560 and 50572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50560 and 50572, than apply into the LCM equation.

GCF(50560,50572) = 4
LCM(50560,50572) = ( 50560 × 50572) / 4
LCM(50560,50572) = 2556920320 / 4
LCM(50560,50572) = 639230080

Least Common Multiple (LCM) of 50560 and 50572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50560 and 50572. First we will calculate the prime factors of 50560 and 50572.

Prime Factorization of 50560

Prime Factorization of 50572

Now multiplying the highest exponent prime factors to calculate the LCM of 50560 and 50572.

LCM(50560,50572) = 2⁷ × 5¹ × 79¹ × 47¹ × 269¹
LCM(50560,50572) = 639230080