What is the Least Common Multiple of 24219 and 24229?

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 24229 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 24229, than apply into the LCM equation.

GCF(24219,24229) = 1
LCM(24219,24229) = ( 24219 × 24229) / 1
LCM(24219,24229) = 586802151 / 1
LCM(24219,24229) = 586802151

Least Common Multiple (LCM) of 24219 and 24229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24219 and 24229. First we will calculate the prime factors of 24219 and 24229.

Prime Factorization of 24219

Prime Factorization of 24229

Now multiplying the highest exponent prime factors to calculate the LCM of 24219 and 24229.

LCM(24219,24229) = 3⁴ × 13¹ × 23¹ × 24229¹
LCM(24219,24229) = 586802151