What is the Least Common Multiple of 84344 and 84357?

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 84344 and 84357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84344 and 84357, than apply into the LCM equation.

GCF(84344,84357) = 13
LCM(84344,84357) = ( 84344 × 84357) / 13
LCM(84344,84357) = 7115006808 / 13
LCM(84344,84357) = 547308216

Least Common Multiple (LCM) of 84344 and 84357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84344 and 84357. First we will calculate the prime factors of 84344 and 84357.

Prime Factorization of 84344

Prime Factorization of 84357

Now multiplying the highest exponent prime factors to calculate the LCM of 84344 and 84357.

LCM(84344,84357) = 2³ × 13¹ × 811¹ × 3² × 7¹ × 103¹
LCM(84344,84357) = 547308216