What is the Least Common Multiple of 9677 and 9691?

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 9677 and 9691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9677 and 9691, than apply into the LCM equation.

GCF(9677,9691) = 1
LCM(9677,9691) = ( 9677 × 9691) / 1
LCM(9677,9691) = 93779807 / 1
LCM(9677,9691) = 93779807

Least Common Multiple (LCM) of 9677 and 9691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9677 and 9691. First we will calculate the prime factors of 9677 and 9691.

Prime Factorization of 9677

Prime Factorization of 9691

Now multiplying the highest exponent prime factors to calculate the LCM of 9677 and 9691.

LCM(9677,9691) = 9677¹ × 11¹ × 881¹
LCM(9677,9691) = 93779807