What is the Least Common Multiple of 41291 and 41297?

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 41291 and 41297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41291 and 41297, than apply into the LCM equation.

GCF(41291,41297) = 1
LCM(41291,41297) = ( 41291 × 41297) / 1
LCM(41291,41297) = 1705194427 / 1
LCM(41291,41297) = 1705194427

Least Common Multiple (LCM) of 41291 and 41297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41291 and 41297. First we will calculate the prime factors of 41291 and 41297.

Prime Factorization of 41291

Prime Factorization of 41297

Now multiplying the highest exponent prime factors to calculate the LCM of 41291 and 41297.

LCM(41291,41297) = 157¹ × 263¹ × 61¹ × 677¹
LCM(41291,41297) = 1705194427