What is the Least Common Multiple of 24219 and 24233?

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 24219 and 24233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24219 and 24233, than apply into the LCM equation.

GCF(24219,24233) = 1
LCM(24219,24233) = ( 24219 × 24233) / 1
LCM(24219,24233) = 586899027 / 1
LCM(24219,24233) = 586899027

Least Common Multiple (LCM) of 24219 and 24233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24219 and 24233. First we will calculate the prime factors of 24219 and 24233.

Prime Factorization of 24219

Prime Factorization of 24233

Now multiplying the highest exponent prime factors to calculate the LCM of 24219 and 24233.

LCM(24219,24233) = 3⁴ × 13¹ × 23¹ × 11¹ × 2203¹
LCM(24219,24233) = 586899027