What is the Least Common Multiple of 88168 and 88176?

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 88168 and 88176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88168 and 88176, than apply into the LCM equation.

GCF(88168,88176) = 8
LCM(88168,88176) = ( 88168 × 88176) / 8
LCM(88168,88176) = 7774301568 / 8
LCM(88168,88176) = 971787696

Least Common Multiple (LCM) of 88168 and 88176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88168 and 88176. First we will calculate the prime factors of 88168 and 88176.

Prime Factorization of 88168

Prime Factorization of 88176

Now multiplying the highest exponent prime factors to calculate the LCM of 88168 and 88176.

LCM(88168,88176) = 2⁴ × 103¹ × 107¹ × 3¹ × 11¹ × 167¹
LCM(88168,88176) = 971787696