What is the Least Common Multiple of 84354 and 84368?

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 84354 and 84368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84354 and 84368, than apply into the LCM equation.

GCF(84354,84368) = 2
LCM(84354,84368) = ( 84354 × 84368) / 2
LCM(84354,84368) = 7116778272 / 2
LCM(84354,84368) = 3558389136

Least Common Multiple (LCM) of 84354 and 84368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84354 and 84368. First we will calculate the prime factors of 84354 and 84368.

Prime Factorization of 84354

Prime Factorization of 84368

Now multiplying the highest exponent prime factors to calculate the LCM of 84354 and 84368.

LCM(84354,84368) = 2⁴ × 3¹ × 17¹ × 827¹ × 5273¹
LCM(84354,84368) = 3558389136