What is the Least Common Multiple of 50500 and 50504?

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 50500 and 50504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50500 and 50504, than apply into the LCM equation.

GCF(50500,50504) = 4
LCM(50500,50504) = ( 50500 × 50504) / 4
LCM(50500,50504) = 2550452000 / 4
LCM(50500,50504) = 637613000

Least Common Multiple (LCM) of 50500 and 50504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50500 and 50504. First we will calculate the prime factors of 50500 and 50504.

Prime Factorization of 50500

Prime Factorization of 50504

Now multiplying the highest exponent prime factors to calculate the LCM of 50500 and 50504.

LCM(50500,50504) = 2³ × 5³ × 101¹ × 59¹ × 107¹
LCM(50500,50504) = 637613000