What is the Least Common Multiple of 40359 and 40371?

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 40359 and 40371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40359 and 40371, than apply into the LCM equation.

GCF(40359,40371) = 3
LCM(40359,40371) = ( 40359 × 40371) / 3
LCM(40359,40371) = 1629333189 / 3
LCM(40359,40371) = 543111063

Least Common Multiple (LCM) of 40359 and 40371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40359 and 40371. First we will calculate the prime factors of 40359 and 40371.

Prime Factorization of 40359

Prime Factorization of 40371

Now multiplying the highest exponent prime factors to calculate the LCM of 40359 and 40371.

LCM(40359,40371) = 3¹ × 11¹ × 1223¹ × 13457¹
LCM(40359,40371) = 543111063