What is the Least Common Multiple of 28224 and 28233?

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 28224 and 28233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28224 and 28233, than apply into the LCM equation.

GCF(28224,28233) = 9
LCM(28224,28233) = ( 28224 × 28233) / 9
LCM(28224,28233) = 796848192 / 9
LCM(28224,28233) = 88538688

Least Common Multiple (LCM) of 28224 and 28233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28224 and 28233. First we will calculate the prime factors of 28224 and 28233.

Prime Factorization of 28224

Prime Factorization of 28233

Now multiplying the highest exponent prime factors to calculate the LCM of 28224 and 28233.

LCM(28224,28233) = 2⁶ × 3² × 7² × 3137¹
LCM(28224,28233) = 88538688