What is the Least Common Multiple of 91209 and 91220?

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 91220 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 91220, than apply into the LCM equation.

GCF(91209,91220) = 1
LCM(91209,91220) = ( 91209 × 91220) / 1
LCM(91209,91220) = 8320084980 / 1
LCM(91209,91220) = 8320084980

Least Common Multiple (LCM) of 91209 and 91220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91209 and 91220. First we will calculate the prime factors of 91209 and 91220.

Prime Factorization of 91209

Prime Factorization of 91220

Now multiplying the highest exponent prime factors to calculate the LCM of 91209 and 91220.

LCM(91209,91220) = 3¹ × 30403¹ × 2² × 5¹ × 4561¹
LCM(91209,91220) = 8320084980