What is the Least Common Multiple of 24354 and 24374?

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 24354 and 24374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24354 and 24374, than apply into the LCM equation.

GCF(24354,24374) = 2
LCM(24354,24374) = ( 24354 × 24374) / 2
LCM(24354,24374) = 593604396 / 2
LCM(24354,24374) = 296802198

Least Common Multiple (LCM) of 24354 and 24374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24354 and 24374. First we will calculate the prime factors of 24354 and 24374.

Prime Factorization of 24354

Prime Factorization of 24374

Now multiplying the highest exponent prime factors to calculate the LCM of 24354 and 24374.

LCM(24354,24374) = 2¹ × 3³ × 11¹ × 41¹ × 7¹ × 1741¹
LCM(24354,24374) = 296802198