What is the Least Common Multiple of 40865 and 40872?

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 40865 and 40872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40865 and 40872, than apply into the LCM equation.

GCF(40865,40872) = 1
LCM(40865,40872) = ( 40865 × 40872) / 1
LCM(40865,40872) = 1670234280 / 1
LCM(40865,40872) = 1670234280

Least Common Multiple (LCM) of 40865 and 40872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40865 and 40872. First we will calculate the prime factors of 40865 and 40872.

Prime Factorization of 40865

Prime Factorization of 40872

Now multiplying the highest exponent prime factors to calculate the LCM of 40865 and 40872.

LCM(40865,40872) = 5¹ × 11¹ × 743¹ × 2³ × 3¹ × 13¹ × 131¹
LCM(40865,40872) = 1670234280