What is the Least Common Multiple of 84278 and 84296?

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 84278 and 84296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84278 and 84296, than apply into the LCM equation.

GCF(84278,84296) = 2
LCM(84278,84296) = ( 84278 × 84296) / 2
LCM(84278,84296) = 7104298288 / 2
LCM(84278,84296) = 3552149144

Least Common Multiple (LCM) of 84278 and 84296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84278 and 84296. First we will calculate the prime factors of 84278 and 84296.

Prime Factorization of 84278

Prime Factorization of 84296

Now multiplying the highest exponent prime factors to calculate the LCM of 84278 and 84296.

LCM(84278,84296) = 2³ × 42139¹ × 41¹ × 257¹
LCM(84278,84296) = 3552149144