What is the Least Common Multiple of 80859 and 80871?

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 80859 and 80871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80859 and 80871, than apply into the LCM equation.

GCF(80859,80871) = 3
LCM(80859,80871) = ( 80859 × 80871) / 3
LCM(80859,80871) = 6539148189 / 3
LCM(80859,80871) = 2179716063

Least Common Multiple (LCM) of 80859 and 80871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80859 and 80871. First we will calculate the prime factors of 80859 and 80871.

Prime Factorization of 80859

Prime Factorization of 80871

Now multiplying the highest exponent prime factors to calculate the LCM of 80859 and 80871.

LCM(80859,80871) = 3¹ × 26953¹ × 7¹ × 3851¹
LCM(80859,80871) = 2179716063