What is the Least Common Multiple of 80893 and 80898?

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 80893 and 80898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80893 and 80898, than apply into the LCM equation.

GCF(80893,80898) = 1
LCM(80893,80898) = ( 80893 × 80898) / 1
LCM(80893,80898) = 6544081914 / 1
LCM(80893,80898) = 6544081914

Least Common Multiple (LCM) of 80893 and 80898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80893 and 80898. First we will calculate the prime factors of 80893 and 80898.

Prime Factorization of 80893

Prime Factorization of 80898

Now multiplying the highest exponent prime factors to calculate the LCM of 80893 and 80898.

LCM(80893,80898) = 41¹ × 1973¹ × 2¹ × 3¹ × 97¹ × 139¹
LCM(80893,80898) = 6544081914