What is the Least Common Multiple of 88168 and 88174?

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 88174 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 88174, than apply into the LCM equation.

GCF(88168,88174) = 2
LCM(88168,88174) = ( 88168 × 88174) / 2
LCM(88168,88174) = 7774125232 / 2
LCM(88168,88174) = 3887062616

Least Common Multiple (LCM) of 88168 and 88174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88168 and 88174. First we will calculate the prime factors of 88168 and 88174.

Prime Factorization of 88168

Prime Factorization of 88174

Now multiplying the highest exponent prime factors to calculate the LCM of 88168 and 88174.

LCM(88168,88174) = 2³ × 103¹ × 107¹ × 44087¹
LCM(88168,88174) = 3887062616