What is the Least Common Multiple of 41295 and 41307?

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 41295 and 41307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41295 and 41307, than apply into the LCM equation.

GCF(41295,41307) = 3
LCM(41295,41307) = ( 41295 × 41307) / 3
LCM(41295,41307) = 1705772565 / 3
LCM(41295,41307) = 568590855

Least Common Multiple (LCM) of 41295 and 41307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41295 and 41307. First we will calculate the prime factors of 41295 and 41307.

Prime Factorization of 41295

Prime Factorization of 41307

Now multiplying the highest exponent prime factors to calculate the LCM of 41295 and 41307.

LCM(41295,41307) = 3¹ × 5¹ × 2753¹ × 7² × 281¹
LCM(41295,41307) = 568590855