What is the Least Common Multiple of 23840 and 23850?

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 23840 and 23850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23840 and 23850, than apply into the LCM equation.

GCF(23840,23850) = 10
LCM(23840,23850) = ( 23840 × 23850) / 10
LCM(23840,23850) = 568584000 / 10
LCM(23840,23850) = 56858400

Least Common Multiple (LCM) of 23840 and 23850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23840 and 23850. First we will calculate the prime factors of 23840 and 23850.

Prime Factorization of 23840

Prime Factorization of 23850

Now multiplying the highest exponent prime factors to calculate the LCM of 23840 and 23850.

LCM(23840,23850) = 2⁵ × 5² × 149¹ × 3² × 53¹
LCM(23840,23850) = 56858400