What is the Least Common Multiple of 29180 and 29195?

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 29180 and 29195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29180 and 29195, than apply into the LCM equation.

GCF(29180,29195) = 5
LCM(29180,29195) = ( 29180 × 29195) / 5
LCM(29180,29195) = 851910100 / 5
LCM(29180,29195) = 170382020

Least Common Multiple (LCM) of 29180 and 29195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29180 and 29195. First we will calculate the prime factors of 29180 and 29195.

Prime Factorization of 29180

Prime Factorization of 29195

Now multiplying the highest exponent prime factors to calculate the LCM of 29180 and 29195.

LCM(29180,29195) = 2² × 5¹ × 1459¹ × 5839¹
LCM(29180,29195) = 170382020