What is the Least Common Multiple of 9168 and 9178?

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 9178 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 9178, than apply into the LCM equation.

GCF(9168,9178) = 2
LCM(9168,9178) = ( 9168 × 9178) / 2
LCM(9168,9178) = 84143904 / 2
LCM(9168,9178) = 42071952

Least Common Multiple (LCM) of 9168 and 9178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9168 and 9178. First we will calculate the prime factors of 9168 and 9178.

Prime Factorization of 9168

Prime Factorization of 9178

Now multiplying the highest exponent prime factors to calculate the LCM of 9168 and 9178.

LCM(9168,9178) = 2⁴ × 3¹ × 191¹ × 13¹ × 353¹
LCM(9168,9178) = 42071952