What is the Least Common Multiple of 24209 and 24218?

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 24209 and 24218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24209 and 24218, than apply into the LCM equation.

GCF(24209,24218) = 1
LCM(24209,24218) = ( 24209 × 24218) / 1
LCM(24209,24218) = 586293562 / 1
LCM(24209,24218) = 586293562

Least Common Multiple (LCM) of 24209 and 24218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24209 and 24218. First we will calculate the prime factors of 24209 and 24218.

Prime Factorization of 24209

Prime Factorization of 24218

Now multiplying the highest exponent prime factors to calculate the LCM of 24209 and 24218.

LCM(24209,24218) = 43¹ × 563¹ × 2¹ × 12109¹
LCM(24209,24218) = 586293562