What is the Least Common Multiple of 40340 and 40345?

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 40340 and 40345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40340 and 40345, than apply into the LCM equation.

GCF(40340,40345) = 5
LCM(40340,40345) = ( 40340 × 40345) / 5
LCM(40340,40345) = 1627517300 / 5
LCM(40340,40345) = 325503460

Least Common Multiple (LCM) of 40340 and 40345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40340 and 40345. First we will calculate the prime factors of 40340 and 40345.

Prime Factorization of 40340

Prime Factorization of 40345

Now multiplying the highest exponent prime factors to calculate the LCM of 40340 and 40345.

LCM(40340,40345) = 2² × 5¹ × 2017¹ × 8069¹
LCM(40340,40345) = 325503460