What is the Least Common Multiple of 50872 and 50892?

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 50872 and 50892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50872 and 50892, than apply into the LCM equation.

GCF(50872,50892) = 4
LCM(50872,50892) = ( 50872 × 50892) / 4
LCM(50872,50892) = 2588977824 / 4
LCM(50872,50892) = 647244456

Least Common Multiple (LCM) of 50872 and 50892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50872 and 50892. First we will calculate the prime factors of 50872 and 50892.

Prime Factorization of 50872

Prime Factorization of 50892

Now multiplying the highest exponent prime factors to calculate the LCM of 50872 and 50892.

LCM(50872,50892) = 2³ × 6359¹ × 3¹ × 4241¹
LCM(50872,50892) = 647244456