What is the Least Common Multiple of 20288 and 20292?

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 20288 and 20292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20288 and 20292, than apply into the LCM equation.

GCF(20288,20292) = 4
LCM(20288,20292) = ( 20288 × 20292) / 4
LCM(20288,20292) = 411684096 / 4
LCM(20288,20292) = 102921024

Least Common Multiple (LCM) of 20288 and 20292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20288 and 20292. First we will calculate the prime factors of 20288 and 20292.

Prime Factorization of 20288

Prime Factorization of 20292

Now multiplying the highest exponent prime factors to calculate the LCM of 20288 and 20292.

LCM(20288,20292) = 2⁶ × 317¹ × 3¹ × 19¹ × 89¹
LCM(20288,20292) = 102921024