What is the Least Common Multiple of 24390 and 24394?

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 24390 and 24394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24390 and 24394, than apply into the LCM equation.

GCF(24390,24394) = 2
LCM(24390,24394) = ( 24390 × 24394) / 2
LCM(24390,24394) = 594969660 / 2
LCM(24390,24394) = 297484830

Least Common Multiple (LCM) of 24390 and 24394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24390 and 24394. First we will calculate the prime factors of 24390 and 24394.

Prime Factorization of 24390

Prime Factorization of 24394

Now multiplying the highest exponent prime factors to calculate the LCM of 24390 and 24394.

LCM(24390,24394) = 2¹ × 3² × 5¹ × 271¹ × 12197¹
LCM(24390,24394) = 297484830