What is the Least Common Multiple of 24219 and 24232?

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 24232 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 24232, than apply into the LCM equation.

GCF(24219,24232) = 13
LCM(24219,24232) = ( 24219 × 24232) / 13
LCM(24219,24232) = 586874808 / 13
LCM(24219,24232) = 45144216

Least Common Multiple (LCM) of 24219 and 24232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24219 and 24232. First we will calculate the prime factors of 24219 and 24232.

Prime Factorization of 24219

Prime Factorization of 24232

Now multiplying the highest exponent prime factors to calculate the LCM of 24219 and 24232.

LCM(24219,24232) = 3⁴ × 13¹ × 23¹ × 2³ × 233¹
LCM(24219,24232) = 45144216