What is the Least Common Multiple of 24213 and 24219?

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 24213 and 24219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24213 and 24219, than apply into the LCM equation.

GCF(24213,24219) = 3
LCM(24213,24219) = ( 24213 × 24219) / 3
LCM(24213,24219) = 586414647 / 3
LCM(24213,24219) = 195471549

Least Common Multiple (LCM) of 24213 and 24219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24213 and 24219. First we will calculate the prime factors of 24213 and 24219.

Prime Factorization of 24213

Prime Factorization of 24219

Now multiplying the highest exponent prime factors to calculate the LCM of 24213 and 24219.

LCM(24213,24219) = 3⁴ × 7¹ × 1153¹ × 13¹ × 23¹
LCM(24213,24219) = 195471549