What is the Least Common Multiple of 41403 and 41409?

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 41403 and 41409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41403 and 41409, than apply into the LCM equation.

GCF(41403,41409) = 3
LCM(41403,41409) = ( 41403 × 41409) / 3
LCM(41403,41409) = 1714456827 / 3
LCM(41403,41409) = 571485609

Least Common Multiple (LCM) of 41403 and 41409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41403 and 41409. First we will calculate the prime factors of 41403 and 41409.

Prime Factorization of 41403

Prime Factorization of 41409

Now multiplying the highest exponent prime factors to calculate the LCM of 41403 and 41409.

LCM(41403,41409) = 3² × 37¹ × 373¹ × 43¹ × 107¹
LCM(41403,41409) = 571485609