What is the Least Common Multiple of 80259 and 80271?

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 80259 and 80271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80259 and 80271, than apply into the LCM equation.

GCF(80259,80271) = 3
LCM(80259,80271) = ( 80259 × 80271) / 3
LCM(80259,80271) = 6442470189 / 3
LCM(80259,80271) = 2147490063

Least Common Multiple (LCM) of 80259 and 80271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80259 and 80271. First we will calculate the prime factors of 80259 and 80271.

Prime Factorization of 80259

Prime Factorization of 80271

Now multiplying the highest exponent prime factors to calculate the LCM of 80259 and 80271.

LCM(80259,80271) = 3⁴ × 31¹ × 863¹ × 991¹
LCM(80259,80271) = 2147490063