What is the Least Common Multiple of 91209 and 91221?

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 91209 and 91221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91209 and 91221, than apply into the LCM equation.

GCF(91209,91221) = 3
LCM(91209,91221) = ( 91209 × 91221) / 3
LCM(91209,91221) = 8320176189 / 3
LCM(91209,91221) = 2773392063

Least Common Multiple (LCM) of 91209 and 91221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91209 and 91221. First we will calculate the prime factors of 91209 and 91221.

Prime Factorization of 91209

Prime Factorization of 91221

Now multiplying the highest exponent prime factors to calculate the LCM of 91209 and 91221.

LCM(91209,91221) = 3¹ × 30403¹ × 13¹ × 2339¹
LCM(91209,91221) = 2773392063