What is the Least Common Multiple of 91719 and 91731?

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 91719 and 91731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91719 and 91731, than apply into the LCM equation.

GCF(91719,91731) = 3
LCM(91719,91731) = ( 91719 × 91731) / 3
LCM(91719,91731) = 8413475589 / 3
LCM(91719,91731) = 2804491863

Least Common Multiple (LCM) of 91719 and 91731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91719 and 91731. First we will calculate the prime factors of 91719 and 91731.

Prime Factorization of 91719

Prime Factorization of 91731

Now multiplying the highest exponent prime factors to calculate the LCM of 91719 and 91731.

LCM(91719,91731) = 3³ × 43¹ × 79¹ × 30577¹
LCM(91719,91731) = 2804491863