What is the Least Common Multiple of 41709 and 41721?

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 41709 and 41721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41709 and 41721, than apply into the LCM equation.

GCF(41709,41721) = 3
LCM(41709,41721) = ( 41709 × 41721) / 3
LCM(41709,41721) = 1740141189 / 3
LCM(41709,41721) = 580047063

Least Common Multiple (LCM) of 41709 and 41721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41709 and 41721. First we will calculate the prime factors of 41709 and 41721.

Prime Factorization of 41709

Prime Factorization of 41721

Now multiplying the highest exponent prime factors to calculate the LCM of 41709 and 41721.

LCM(41709,41721) = 3¹ × 13903¹ × 13907¹
LCM(41709,41721) = 580047063