What is the Least Common Multiple of 50200 and 50205?

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 50200 and 50205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50200 and 50205, than apply into the LCM equation.

GCF(50200,50205) = 5
LCM(50200,50205) = ( 50200 × 50205) / 5
LCM(50200,50205) = 2520291000 / 5
LCM(50200,50205) = 504058200

Least Common Multiple (LCM) of 50200 and 50205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50200 and 50205. First we will calculate the prime factors of 50200 and 50205.

Prime Factorization of 50200

Prime Factorization of 50205

Now multiplying the highest exponent prime factors to calculate the LCM of 50200 and 50205.

LCM(50200,50205) = 2³ × 5² × 251¹ × 3¹ × 3347¹
LCM(50200,50205) = 504058200