What is the Least Common Multiple of 9179 and 9199?

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 9179 and 9199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9179 and 9199, than apply into the LCM equation.

GCF(9179,9199) = 1
LCM(9179,9199) = ( 9179 × 9199) / 1
LCM(9179,9199) = 84437621 / 1
LCM(9179,9199) = 84437621

Least Common Multiple (LCM) of 9179 and 9199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9179 and 9199. First we will calculate the prime factors of 9179 and 9199.

Prime Factorization of 9179

Prime Factorization of 9199

Now multiplying the highest exponent prime factors to calculate the LCM of 9179 and 9199.

LCM(9179,9199) = 67¹ × 137¹ × 9199¹
LCM(9179,9199) = 84437621