What is the Least Common Multiple of 50568 and 50584?

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 50568 and 50584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50568 and 50584, than apply into the LCM equation.

GCF(50568,50584) = 8
LCM(50568,50584) = ( 50568 × 50584) / 8
LCM(50568,50584) = 2557931712 / 8
LCM(50568,50584) = 319741464

Least Common Multiple (LCM) of 50568 and 50584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50568 and 50584. First we will calculate the prime factors of 50568 and 50584.

Prime Factorization of 50568

Prime Factorization of 50584

Now multiplying the highest exponent prime factors to calculate the LCM of 50568 and 50584.

LCM(50568,50584) = 2³ × 3¹ × 7² × 43¹ × 6323¹
LCM(50568,50584) = 319741464