What is the Least Common Multiple of 84388 and 84398?

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 84388 and 84398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84388 and 84398, than apply into the LCM equation.

GCF(84388,84398) = 2
LCM(84388,84398) = ( 84388 × 84398) / 2
LCM(84388,84398) = 7122178424 / 2
LCM(84388,84398) = 3561089212

Least Common Multiple (LCM) of 84388 and 84398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84388 and 84398. First we will calculate the prime factors of 84388 and 84398.

Prime Factorization of 84388

Prime Factorization of 84398

Now multiplying the highest exponent prime factors to calculate the LCM of 84388 and 84398.

LCM(84388,84398) = 2² × 17² × 73¹ × 19¹ × 2221¹
LCM(84388,84398) = 3561089212