What is the Least Common Multiple of 84158 and 84174?

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 84158 and 84174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84158 and 84174, than apply into the LCM equation.

GCF(84158,84174) = 2
LCM(84158,84174) = ( 84158 × 84174) / 2
LCM(84158,84174) = 7083915492 / 2
LCM(84158,84174) = 3541957746

Least Common Multiple (LCM) of 84158 and 84174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84158 and 84174. First we will calculate the prime factors of 84158 and 84174.

Prime Factorization of 84158

Prime Factorization of 84174

Now multiplying the highest exponent prime factors to calculate the LCM of 84158 and 84174.

LCM(84158,84174) = 2¹ × 29¹ × 1451¹ × 3¹ × 14029¹
LCM(84158,84174) = 3541957746