What is the Least Common Multiple of 84450 and 84456?

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 84450 and 84456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84450 and 84456, than apply into the LCM equation.

GCF(84450,84456) = 6
LCM(84450,84456) = ( 84450 × 84456) / 6
LCM(84450,84456) = 7132309200 / 6
LCM(84450,84456) = 1188718200

Least Common Multiple (LCM) of 84450 and 84456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84450 and 84456. First we will calculate the prime factors of 84450 and 84456.

Prime Factorization of 84450

Prime Factorization of 84456

Now multiplying the highest exponent prime factors to calculate the LCM of 84450 and 84456.

LCM(84450,84456) = 2³ × 3³ × 5² × 563¹ × 17¹ × 23¹
LCM(84450,84456) = 1188718200