What is the Least Common Multiple of 84336 and 84346?

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 84336 and 84346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84336 and 84346, than apply into the LCM equation.

GCF(84336,84346) = 2
LCM(84336,84346) = ( 84336 × 84346) / 2
LCM(84336,84346) = 7113404256 / 2
LCM(84336,84346) = 3556702128

Least Common Multiple (LCM) of 84336 and 84346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84336 and 84346. First we will calculate the prime factors of 84336 and 84346.

Prime Factorization of 84336

Prime Factorization of 84346

Now multiplying the highest exponent prime factors to calculate the LCM of 84336 and 84346.

LCM(84336,84346) = 2⁴ × 3¹ × 7¹ × 251¹ × 181¹ × 233¹
LCM(84336,84346) = 3556702128