What is the Least Common Multiple of 88146 and 88158?

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 88146 and 88158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88146 and 88158, than apply into the LCM equation.

GCF(88146,88158) = 6
LCM(88146,88158) = ( 88146 × 88158) / 6
LCM(88146,88158) = 7770775068 / 6
LCM(88146,88158) = 1295129178

Least Common Multiple (LCM) of 88146 and 88158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88146 and 88158. First we will calculate the prime factors of 88146 and 88158.

Prime Factorization of 88146

Prime Factorization of 88158

Now multiplying the highest exponent prime factors to calculate the LCM of 88146 and 88158.

LCM(88146,88158) = 2¹ × 3² × 59¹ × 83¹ × 7¹ × 2099¹
LCM(88146,88158) = 1295129178