What is the Least Common Multiple of 91611 and 91623?

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 91611 and 91623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91611 and 91623, than apply into the LCM equation.

GCF(91611,91623) = 3
LCM(91611,91623) = ( 91611 × 91623) / 3
LCM(91611,91623) = 8393674653 / 3
LCM(91611,91623) = 2797891551

Least Common Multiple (LCM) of 91611 and 91623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91611 and 91623. First we will calculate the prime factors of 91611 and 91623.

Prime Factorization of 91611

Prime Factorization of 91623

Now multiplying the highest exponent prime factors to calculate the LCM of 91611 and 91623.

LCM(91611,91623) = 3⁵ × 13¹ × 29¹ × 7¹ × 4363¹
LCM(91611,91623) = 2797891551