What is the Least Common Multiple of 85209 and 85221?

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 85221 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 85221, than apply into the LCM equation.

GCF(85209,85221) = 3
LCM(85209,85221) = ( 85209 × 85221) / 3
LCM(85209,85221) = 7261596189 / 3
LCM(85209,85221) = 2420532063

Least Common Multiple (LCM) of 85209 and 85221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85209 and 85221. First we will calculate the prime factors of 85209 and 85221.

Prime Factorization of 85209

Prime Factorization of 85221

Now multiplying the highest exponent prime factors to calculate the LCM of 85209 and 85221.

LCM(85209,85221) = 3² × 28403¹ × 17¹ × 557¹
LCM(85209,85221) = 2420532063