What is the Least Common Multiple of 40341 and 40353?

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 40341 and 40353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40341 and 40353, than apply into the LCM equation.

GCF(40341,40353) = 3
LCM(40341,40353) = ( 40341 × 40353) / 3
LCM(40341,40353) = 1627880373 / 3
LCM(40341,40353) = 542626791

Least Common Multiple (LCM) of 40341 and 40353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40341 and 40353. First we will calculate the prime factors of 40341 and 40353.

Prime Factorization of 40341

Prime Factorization of 40353

Now multiplying the highest exponent prime factors to calculate the LCM of 40341 and 40353.

LCM(40341,40353) = 3¹ × 7¹ × 17¹ × 113¹ × 13451¹
LCM(40341,40353) = 542626791