What is the Least Common Multiple of 84174 and 84179?

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 84174 and 84179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84174 and 84179, than apply into the LCM equation.

GCF(84174,84179) = 1
LCM(84174,84179) = ( 84174 × 84179) / 1
LCM(84174,84179) = 7085683146 / 1
LCM(84174,84179) = 7085683146

Least Common Multiple (LCM) of 84174 and 84179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84174 and 84179. First we will calculate the prime factors of 84174 and 84179.

Prime Factorization of 84174

Prime Factorization of 84179

Now multiplying the highest exponent prime factors to calculate the LCM of 84174 and 84179.

LCM(84174,84179) = 2¹ × 3¹ × 14029¹ × 84179¹
LCM(84174,84179) = 7085683146