What is the Least Common Multiple of 93288 and 93292?

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 93288 and 93292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93288 and 93292, than apply into the LCM equation.

GCF(93288,93292) = 4
LCM(93288,93292) = ( 93288 × 93292) / 4
LCM(93288,93292) = 8703024096 / 4
LCM(93288,93292) = 2175756024

Least Common Multiple (LCM) of 93288 and 93292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93288 and 93292. First we will calculate the prime factors of 93288 and 93292.

Prime Factorization of 93288

Prime Factorization of 93292

Now multiplying the highest exponent prime factors to calculate the LCM of 93288 and 93292.

LCM(93288,93292) = 2³ × 3¹ × 13² × 23¹ × 83¹ × 281¹
LCM(93288,93292) = 2175756024