What is the Least Common Multiple of 41365 and 41375?

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 41365 and 41375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41365 and 41375, than apply into the LCM equation.

GCF(41365,41375) = 5
LCM(41365,41375) = ( 41365 × 41375) / 5
LCM(41365,41375) = 1711476875 / 5
LCM(41365,41375) = 342295375

Least Common Multiple (LCM) of 41365 and 41375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41365 and 41375. First we will calculate the prime factors of 41365 and 41375.

Prime Factorization of 41365

Prime Factorization of 41375

Now multiplying the highest exponent prime factors to calculate the LCM of 41365 and 41375.

LCM(41365,41375) = 5³ × 8273¹ × 331¹
LCM(41365,41375) = 342295375