What is the Least Common Multiple of 40839 and 40855?

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 40839 and 40855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40839 and 40855, than apply into the LCM equation.

GCF(40839,40855) = 1
LCM(40839,40855) = ( 40839 × 40855) / 1
LCM(40839,40855) = 1668477345 / 1
LCM(40839,40855) = 1668477345

Least Common Multiple (LCM) of 40839 and 40855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40839 and 40855. First we will calculate the prime factors of 40839 and 40855.

Prime Factorization of 40839

Prime Factorization of 40855

Now multiplying the highest exponent prime factors to calculate the LCM of 40839 and 40855.

LCM(40839,40855) = 3¹ × 13613¹ × 5¹ × 8171¹
LCM(40839,40855) = 1668477345