What is the Least Common Multiple of 52200 and 52209?

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 52200 and 52209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52200 and 52209, than apply into the LCM equation.

GCF(52200,52209) = 9
LCM(52200,52209) = ( 52200 × 52209) / 9
LCM(52200,52209) = 2725309800 / 9
LCM(52200,52209) = 302812200

Least Common Multiple (LCM) of 52200 and 52209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52200 and 52209. First we will calculate the prime factors of 52200 and 52209.

Prime Factorization of 52200

Prime Factorization of 52209

Now multiplying the highest exponent prime factors to calculate the LCM of 52200 and 52209.

LCM(52200,52209) = 2³ × 3² × 5² × 29¹ × 5801¹
LCM(52200,52209) = 302812200