What is the Least Common Multiple of 24300 and 24320?

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 24300 and 24320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24300 and 24320, than apply into the LCM equation.

GCF(24300,24320) = 20
LCM(24300,24320) = ( 24300 × 24320) / 20
LCM(24300,24320) = 590976000 / 20
LCM(24300,24320) = 29548800

Least Common Multiple (LCM) of 24300 and 24320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24300 and 24320. First we will calculate the prime factors of 24300 and 24320.

Prime Factorization of 24300

Prime Factorization of 24320

Now multiplying the highest exponent prime factors to calculate the LCM of 24300 and 24320.

LCM(24300,24320) = 2⁸ × 3⁵ × 5² × 19¹
LCM(24300,24320) = 29548800