What is the Least Common Multiple of 84288 and 84292?

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 84288 and 84292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84288 and 84292, than apply into the LCM equation.

GCF(84288,84292) = 4
LCM(84288,84292) = ( 84288 × 84292) / 4
LCM(84288,84292) = 7104804096 / 4
LCM(84288,84292) = 1776201024

Least Common Multiple (LCM) of 84288 and 84292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84288 and 84292. First we will calculate the prime factors of 84288 and 84292.

Prime Factorization of 84288

Prime Factorization of 84292

Now multiplying the highest exponent prime factors to calculate the LCM of 84288 and 84292.

LCM(84288,84292) = 2⁶ × 3¹ × 439¹ × 13¹ × 1621¹
LCM(84288,84292) = 1776201024