What is the Least Common Multiple of 91209 and 91213?

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 91213 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 91213, than apply into the LCM equation.

GCF(91209,91213) = 1
LCM(91209,91213) = ( 91209 × 91213) / 1
LCM(91209,91213) = 8319446517 / 1
LCM(91209,91213) = 8319446517

Least Common Multiple (LCM) of 91209 and 91213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91209 and 91213. First we will calculate the prime factors of 91209 and 91213.

Prime Factorization of 91209

Prime Factorization of 91213

Now multiplying the highest exponent prime factors to calculate the LCM of 91209 and 91213.

LCM(91209,91213) = 3¹ × 30403¹ × 53¹ × 1721¹
LCM(91209,91213) = 8319446517