What is the Least Common Multiple of 43893 and 43898?

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 43893 and 43898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43893 and 43898, than apply into the LCM equation.

GCF(43893,43898) = 1
LCM(43893,43898) = ( 43893 × 43898) / 1
LCM(43893,43898) = 1926814914 / 1
LCM(43893,43898) = 1926814914

Least Common Multiple (LCM) of 43893 and 43898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43893 and 43898. First we will calculate the prime factors of 43893 and 43898.

Prime Factorization of 43893

Prime Factorization of 43898

Now multiplying the highest exponent prime factors to calculate the LCM of 43893 and 43898.

LCM(43893,43898) = 3² × 4877¹ × 2¹ × 47¹ × 467¹
LCM(43893,43898) = 1926814914