What is the Least Common Multiple of 84284 and 84304?

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 84284 and 84304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84284 and 84304, than apply into the LCM equation.

GCF(84284,84304) = 4
LCM(84284,84304) = ( 84284 × 84304) / 4
LCM(84284,84304) = 7105478336 / 4
LCM(84284,84304) = 1776369584

Least Common Multiple (LCM) of 84284 and 84304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84284 and 84304. First we will calculate the prime factors of 84284 and 84304.

Prime Factorization of 84284

Prime Factorization of 84304

Now multiplying the highest exponent prime factors to calculate the LCM of 84284 and 84304.

LCM(84284,84304) = 2⁴ × 19¹ × 1109¹ × 11¹ × 479¹
LCM(84284,84304) = 1776369584