What is the Least Common Multiple of 85209 and 85224?

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 85209 and 85224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85209 and 85224, than apply into the LCM equation.

GCF(85209,85224) = 3
LCM(85209,85224) = ( 85209 × 85224) / 3
LCM(85209,85224) = 7261851816 / 3
LCM(85209,85224) = 2420617272

Least Common Multiple (LCM) of 85209 and 85224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85209 and 85224. First we will calculate the prime factors of 85209 and 85224.

Prime Factorization of 85209

Prime Factorization of 85224

Now multiplying the highest exponent prime factors to calculate the LCM of 85209 and 85224.

LCM(85209,85224) = 3¹ × 28403¹ × 2³ × 53¹ × 67¹
LCM(85209,85224) = 2420617272