What is the Least Common Multiple of 50088 and 50100?

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 50088 and 50100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50088 and 50100, than apply into the LCM equation.

GCF(50088,50100) = 12
LCM(50088,50100) = ( 50088 × 50100) / 12
LCM(50088,50100) = 2509408800 / 12
LCM(50088,50100) = 209117400

Least Common Multiple (LCM) of 50088 and 50100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50088 and 50100. First we will calculate the prime factors of 50088 and 50100.

Prime Factorization of 50088

Prime Factorization of 50100

Now multiplying the highest exponent prime factors to calculate the LCM of 50088 and 50100.

LCM(50088,50100) = 2³ × 3¹ × 2087¹ × 5² × 167¹
LCM(50088,50100) = 209117400