What is the Least Common Multiple of 40404 and 40417?

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 40404 and 40417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40404 and 40417, than apply into the LCM equation.

GCF(40404,40417) = 13
LCM(40404,40417) = ( 40404 × 40417) / 13
LCM(40404,40417) = 1633008468 / 13
LCM(40404,40417) = 125616036

Least Common Multiple (LCM) of 40404 and 40417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40404 and 40417. First we will calculate the prime factors of 40404 and 40417.

Prime Factorization of 40404

Prime Factorization of 40417

Now multiplying the highest exponent prime factors to calculate the LCM of 40404 and 40417.

LCM(40404,40417) = 2² × 3¹ × 7¹ × 13¹ × 37¹ × 3109¹
LCM(40404,40417) = 125616036