What is the Least Common Multiple of 23149 and 23163?

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 23149 and 23163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23149 and 23163, than apply into the LCM equation.

GCF(23149,23163) = 7
LCM(23149,23163) = ( 23149 × 23163) / 7
LCM(23149,23163) = 536200287 / 7
LCM(23149,23163) = 76600041

Least Common Multiple (LCM) of 23149 and 23163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23149 and 23163. First we will calculate the prime factors of 23149 and 23163.

Prime Factorization of 23149

Prime Factorization of 23163

Now multiplying the highest exponent prime factors to calculate the LCM of 23149 and 23163.

LCM(23149,23163) = 7¹ × 3307¹ × 3¹ × 1103¹
LCM(23149,23163) = 76600041