What is the Least Common Multiple of 41409 and 41424?

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 41424 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 41424, than apply into the LCM equation.

GCF(41409,41424) = 3
LCM(41409,41424) = ( 41409 × 41424) / 3
LCM(41409,41424) = 1715326416 / 3
LCM(41409,41424) = 571775472

Least Common Multiple (LCM) of 41409 and 41424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41409 and 41424. First we will calculate the prime factors of 41409 and 41424.

Prime Factorization of 41409

Prime Factorization of 41424

Now multiplying the highest exponent prime factors to calculate the LCM of 41409 and 41424.

LCM(41409,41424) = 3² × 43¹ × 107¹ × 2⁴ × 863¹
LCM(41409,41424) = 571775472