What is the Least Common Multiple of 9168 and 9179?

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 9168 and 9179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9168 and 9179, than apply into the LCM equation.

GCF(9168,9179) = 1
LCM(9168,9179) = ( 9168 × 9179) / 1
LCM(9168,9179) = 84153072 / 1
LCM(9168,9179) = 84153072

Least Common Multiple (LCM) of 9168 and 9179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9168 and 9179. First we will calculate the prime factors of 9168 and 9179.

Prime Factorization of 9168

Prime Factorization of 9179

Now multiplying the highest exponent prime factors to calculate the LCM of 9168 and 9179.

LCM(9168,9179) = 2⁴ × 3¹ × 191¹ × 67¹ × 137¹
LCM(9168,9179) = 84153072