What is the Least Common Multiple of 24320 and 24325?

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 24325 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 24325, than apply into the LCM equation.

GCF(24320,24325) = 5
LCM(24320,24325) = ( 24320 × 24325) / 5
LCM(24320,24325) = 591584000 / 5
LCM(24320,24325) = 118316800

Least Common Multiple (LCM) of 24320 and 24325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24320 and 24325. First we will calculate the prime factors of 24320 and 24325.

Prime Factorization of 24320

Prime Factorization of 24325

Now multiplying the highest exponent prime factors to calculate the LCM of 24320 and 24325.

LCM(24320,24325) = 2⁸ × 5² × 19¹ × 7¹ × 139¹
LCM(24320,24325) = 118316800