What is the Least Common Multiple of 80891 and 80897?

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 80891 and 80897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80891 and 80897, than apply into the LCM equation.

GCF(80891,80897) = 1
LCM(80891,80897) = ( 80891 × 80897) / 1
LCM(80891,80897) = 6543839227 / 1
LCM(80891,80897) = 6543839227

Least Common Multiple (LCM) of 80891 and 80897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80891 and 80897. First we will calculate the prime factors of 80891 and 80897.

Prime Factorization of 80891

Prime Factorization of 80897

Now multiplying the highest exponent prime factors to calculate the LCM of 80891 and 80897.

LCM(80891,80897) = 23¹ × 3517¹ × 80897¹
LCM(80891,80897) = 6543839227