What is the Least Common Multiple of 23158 and 23177?

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 23158 and 23177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23158 and 23177, than apply into the LCM equation.

GCF(23158,23177) = 1
LCM(23158,23177) = ( 23158 × 23177) / 1
LCM(23158,23177) = 536732966 / 1
LCM(23158,23177) = 536732966

Least Common Multiple (LCM) of 23158 and 23177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23158 and 23177. First we will calculate the prime factors of 23158 and 23177.

Prime Factorization of 23158

Prime Factorization of 23177

Now multiplying the highest exponent prime factors to calculate the LCM of 23158 and 23177.

LCM(23158,23177) = 2¹ × 11579¹ × 7² × 11¹ × 43¹
LCM(23158,23177) = 536732966