What is the Least Common Multiple of 40893 and 40898?

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 40893 and 40898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40893 and 40898, than apply into the LCM equation.

GCF(40893,40898) = 1
LCM(40893,40898) = ( 40893 × 40898) / 1
LCM(40893,40898) = 1672441914 / 1
LCM(40893,40898) = 1672441914

Least Common Multiple (LCM) of 40893 and 40898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40893 and 40898. First we will calculate the prime factors of 40893 and 40898.

Prime Factorization of 40893

Prime Factorization of 40898

Now multiplying the highest exponent prime factors to calculate the LCM of 40893 and 40898.

LCM(40893,40898) = 3¹ × 43¹ × 317¹ × 2¹ × 11² × 13²
LCM(40893,40898) = 1672441914