What is the Least Common Multiple of 24338 and 24342?

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 24338 and 24342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24338 and 24342, than apply into the LCM equation.

GCF(24338,24342) = 2
LCM(24338,24342) = ( 24338 × 24342) / 2
LCM(24338,24342) = 592435596 / 2
LCM(24338,24342) = 296217798

Least Common Multiple (LCM) of 24338 and 24342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24338 and 24342. First we will calculate the prime factors of 24338 and 24342.

Prime Factorization of 24338

Prime Factorization of 24342

Now multiplying the highest exponent prime factors to calculate the LCM of 24338 and 24342.

LCM(24338,24342) = 2¹ × 43¹ × 283¹ × 3¹ × 4057¹
LCM(24338,24342) = 296217798