What is the Least Common Multiple of 91302 and 91317?

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 91302 and 91317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91302 and 91317, than apply into the LCM equation.

GCF(91302,91317) = 3
LCM(91302,91317) = ( 91302 × 91317) / 3
LCM(91302,91317) = 8337424734 / 3
LCM(91302,91317) = 2779141578

Least Common Multiple (LCM) of 91302 and 91317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91302 and 91317. First we will calculate the prime factors of 91302 and 91317.

Prime Factorization of 91302

Prime Factorization of 91317

Now multiplying the highest exponent prime factors to calculate the LCM of 91302 and 91317.

LCM(91302,91317) = 2¹ × 3¹ × 15217¹ × 61¹ × 499¹
LCM(91302,91317) = 2779141578