What is the Least Common Multiple of 41331 and 41349?

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 41331 and 41349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41331 and 41349, than apply into the LCM equation.

GCF(41331,41349) = 3
LCM(41331,41349) = ( 41331 × 41349) / 3
LCM(41331,41349) = 1708995519 / 3
LCM(41331,41349) = 569665173

Least Common Multiple (LCM) of 41331 and 41349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41331 and 41349. First we will calculate the prime factors of 41331 and 41349.

Prime Factorization of 41331

Prime Factorization of 41349

Now multiplying the highest exponent prime factors to calculate the LCM of 41331 and 41349.

LCM(41331,41349) = 3¹ × 23¹ × 599¹ × 7¹ × 11¹ × 179¹
LCM(41331,41349) = 569665173