What is the Least Common Multiple of 84456 and 84474?

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 84456 and 84474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84456 and 84474, than apply into the LCM equation.

GCF(84456,84474) = 18
LCM(84456,84474) = ( 84456 × 84474) / 18
LCM(84456,84474) = 7134336144 / 18
LCM(84456,84474) = 396352008

Least Common Multiple (LCM) of 84456 and 84474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84456 and 84474. First we will calculate the prime factors of 84456 and 84474.

Prime Factorization of 84456

Prime Factorization of 84474

Now multiplying the highest exponent prime factors to calculate the LCM of 84456 and 84474.

LCM(84456,84474) = 2³ × 3³ × 17¹ × 23¹ × 13¹ × 19²
LCM(84456,84474) = 396352008