What is the Least Common Multiple of 23850 and 23864?

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 23850 and 23864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23850 and 23864, than apply into the LCM equation.

GCF(23850,23864) = 2
LCM(23850,23864) = ( 23850 × 23864) / 2
LCM(23850,23864) = 569156400 / 2
LCM(23850,23864) = 284578200

Least Common Multiple (LCM) of 23850 and 23864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23850 and 23864. First we will calculate the prime factors of 23850 and 23864.

Prime Factorization of 23850

Prime Factorization of 23864

Now multiplying the highest exponent prime factors to calculate the LCM of 23850 and 23864.

LCM(23850,23864) = 2³ × 3² × 5² × 53¹ × 19¹ × 157¹
LCM(23850,23864) = 284578200