What is the Least Common Multiple of 41497 and 41517?

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 41497 and 41517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41497 and 41517, than apply into the LCM equation.

GCF(41497,41517) = 1
LCM(41497,41517) = ( 41497 × 41517) / 1
LCM(41497,41517) = 1722830949 / 1
LCM(41497,41517) = 1722830949

Least Common Multiple (LCM) of 41497 and 41517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41497 and 41517. First we will calculate the prime factors of 41497 and 41517.

Prime Factorization of 41497

Prime Factorization of 41517

Now multiplying the highest exponent prime factors to calculate the LCM of 41497 and 41517.

LCM(41497,41517) = 17¹ × 2441¹ × 3² × 7¹ × 659¹
LCM(41497,41517) = 1722830949