What is the Least Common Multiple of 91309 and 91321?

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 91309 and 91321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91309 and 91321, than apply into the LCM equation.

GCF(91309,91321) = 1
LCM(91309,91321) = ( 91309 × 91321) / 1
LCM(91309,91321) = 8338429189 / 1
LCM(91309,91321) = 8338429189

Least Common Multiple (LCM) of 91309 and 91321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91309 and 91321. First we will calculate the prime factors of 91309 and 91321.

Prime Factorization of 91309

Prime Factorization of 91321

Now multiplying the highest exponent prime factors to calculate the LCM of 91309 and 91321.

LCM(91309,91321) = 91309¹ × 29¹ × 47¹ × 67¹
LCM(91309,91321) = 8338429189