What is the Least Common Multiple of 52209 and 52224?

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 52209 and 52224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52209 and 52224, than apply into the LCM equation.

GCF(52209,52224) = 3
LCM(52209,52224) = ( 52209 × 52224) / 3
LCM(52209,52224) = 2726562816 / 3
LCM(52209,52224) = 908854272

Least Common Multiple (LCM) of 52209 and 52224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52209 and 52224. First we will calculate the prime factors of 52209 and 52224.

Prime Factorization of 52209

Prime Factorization of 52224

Now multiplying the highest exponent prime factors to calculate the LCM of 52209 and 52224.

LCM(52209,52224) = 3² × 5801¹ × 2¹⁰ × 17¹
LCM(52209,52224) = 908854272