What is the Least Common Multiple of 50220 and 50225?

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 50220 and 50225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50220 and 50225, than apply into the LCM equation.

GCF(50220,50225) = 5
LCM(50220,50225) = ( 50220 × 50225) / 5
LCM(50220,50225) = 2522299500 / 5
LCM(50220,50225) = 504459900

Least Common Multiple (LCM) of 50220 and 50225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50220 and 50225. First we will calculate the prime factors of 50220 and 50225.

Prime Factorization of 50220

Prime Factorization of 50225

Now multiplying the highest exponent prime factors to calculate the LCM of 50220 and 50225.

LCM(50220,50225) = 2² × 3⁴ × 5² × 31¹ × 7² × 41¹
LCM(50220,50225) = 504459900