What is the Least Common Multiple of 84174 and 84189?

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 84189 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 84189, than apply into the LCM equation.

GCF(84174,84189) = 3
LCM(84174,84189) = ( 84174 × 84189) / 3
LCM(84174,84189) = 7086524886 / 3
LCM(84174,84189) = 2362174962

Least Common Multiple (LCM) of 84174 and 84189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84174 and 84189. First we will calculate the prime factors of 84174 and 84189.

Prime Factorization of 84174

Prime Factorization of 84189

Now multiplying the highest exponent prime factors to calculate the LCM of 84174 and 84189.

LCM(84174,84189) = 2¹ × 3¹ × 14029¹ × 7¹ × 19¹ × 211¹
LCM(84174,84189) = 2362174962