What is the Least Common Multiple of 24389 and 24398?

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 24389 and 24398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24389 and 24398, than apply into the LCM equation.

GCF(24389,24398) = 1
LCM(24389,24398) = ( 24389 × 24398) / 1
LCM(24389,24398) = 595042822 / 1
LCM(24389,24398) = 595042822

Least Common Multiple (LCM) of 24389 and 24398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24389 and 24398. First we will calculate the prime factors of 24389 and 24398.

Prime Factorization of 24389

Prime Factorization of 24398

Now multiplying the highest exponent prime factors to calculate the LCM of 24389 and 24398.

LCM(24389,24398) = 29³ × 2¹ × 11¹ × 1109¹
LCM(24389,24398) = 595042822