What is the Least Common Multiple of 41709 and 41729?

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 41729 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 41729, than apply into the LCM equation.

GCF(41709,41729) = 1
LCM(41709,41729) = ( 41709 × 41729) / 1
LCM(41709,41729) = 1740474861 / 1
LCM(41709,41729) = 1740474861

Least Common Multiple (LCM) of 41709 and 41729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41709 and 41729. First we will calculate the prime factors of 41709 and 41729.

Prime Factorization of 41709

Prime Factorization of 41729

Now multiplying the highest exponent prime factors to calculate the LCM of 41709 and 41729.

LCM(41709,41729) = 3¹ × 13903¹ × 41729¹
LCM(41709,41729) = 1740474861