What is the Least Common Multiple of 40335 and 40340?

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 40335 and 40340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40335 and 40340, than apply into the LCM equation.

GCF(40335,40340) = 5
LCM(40335,40340) = ( 40335 × 40340) / 5
LCM(40335,40340) = 1627113900 / 5
LCM(40335,40340) = 325422780

Least Common Multiple (LCM) of 40335 and 40340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40335 and 40340. First we will calculate the prime factors of 40335 and 40340.

Prime Factorization of 40335

Prime Factorization of 40340

Now multiplying the highest exponent prime factors to calculate the LCM of 40335 and 40340.

LCM(40335,40340) = 3¹ × 5¹ × 2689¹ × 2² × 2017¹
LCM(40335,40340) = 325422780