What is the Least Common Multiple of 24194 and 24209?

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 24194 and 24209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24194 and 24209, than apply into the LCM equation.

GCF(24194,24209) = 1
LCM(24194,24209) = ( 24194 × 24209) / 1
LCM(24194,24209) = 585712546 / 1
LCM(24194,24209) = 585712546

Least Common Multiple (LCM) of 24194 and 24209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24194 and 24209. First we will calculate the prime factors of 24194 and 24209.

Prime Factorization of 24194

Prime Factorization of 24209

Now multiplying the highest exponent prime factors to calculate the LCM of 24194 and 24209.

LCM(24194,24209) = 2¹ × 12097¹ × 43¹ × 563¹
LCM(24194,24209) = 585712546