What is the Least Common Multiple of 40838 and 40846?

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 40838 and 40846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40838 and 40846, than apply into the LCM equation.

GCF(40838,40846) = 2
LCM(40838,40846) = ( 40838 × 40846) / 2
LCM(40838,40846) = 1668068948 / 2
LCM(40838,40846) = 834034474

Least Common Multiple (LCM) of 40838 and 40846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40838 and 40846. First we will calculate the prime factors of 40838 and 40846.

Prime Factorization of 40838

Prime Factorization of 40846

Now multiplying the highest exponent prime factors to calculate the LCM of 40838 and 40846.

LCM(40838,40846) = 2¹ × 7¹ × 2917¹ × 13¹ × 1571¹
LCM(40838,40846) = 834034474