What is the Least Common Multiple of 91209 and 91224?

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 91224 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 91224, than apply into the LCM equation.

GCF(91209,91224) = 3
LCM(91209,91224) = ( 91209 × 91224) / 3
LCM(91209,91224) = 8320449816 / 3
LCM(91209,91224) = 2773483272

Least Common Multiple (LCM) of 91209 and 91224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91209 and 91224. First we will calculate the prime factors of 91209 and 91224.

Prime Factorization of 91209

Prime Factorization of 91224

Now multiplying the highest exponent prime factors to calculate the LCM of 91209 and 91224.

LCM(91209,91224) = 3² × 30403¹ × 2³ × 7¹ × 181¹
LCM(91209,91224) = 2773483272