What is the Least Common Multiple of 24320 and 24338?

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 24320 and 24338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24320 and 24338, than apply into the LCM equation.

GCF(24320,24338) = 2
LCM(24320,24338) = ( 24320 × 24338) / 2
LCM(24320,24338) = 591900160 / 2
LCM(24320,24338) = 295950080

Least Common Multiple (LCM) of 24320 and 24338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24320 and 24338. First we will calculate the prime factors of 24320 and 24338.

Prime Factorization of 24320

Prime Factorization of 24338

Now multiplying the highest exponent prime factors to calculate the LCM of 24320 and 24338.

LCM(24320,24338) = 2⁸ × 5¹ × 19¹ × 43¹ × 283¹
LCM(24320,24338) = 295950080