What is the Least Common Multiple of 41409 and 41427?

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 41409 and 41427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41409 and 41427, than apply into the LCM equation.

GCF(41409,41427) = 9
LCM(41409,41427) = ( 41409 × 41427) / 9
LCM(41409,41427) = 1715450643 / 9
LCM(41409,41427) = 190605627

Least Common Multiple (LCM) of 41409 and 41427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41409 and 41427. First we will calculate the prime factors of 41409 and 41427.

Prime Factorization of 41409

Prime Factorization of 41427

Now multiplying the highest exponent prime factors to calculate the LCM of 41409 and 41427.

LCM(41409,41427) = 3² × 43¹ × 107¹ × 4603¹
LCM(41409,41427) = 190605627