What is the Least Common Multiple of 23850 and 23868?

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 23868 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 23868, than apply into the LCM equation.

GCF(23850,23868) = 18
LCM(23850,23868) = ( 23850 × 23868) / 18
LCM(23850,23868) = 569251800 / 18
LCM(23850,23868) = 31625100

Least Common Multiple (LCM) of 23850 and 23868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23850 and 23868. First we will calculate the prime factors of 23850 and 23868.

Prime Factorization of 23850

Prime Factorization of 23868

Now multiplying the highest exponent prime factors to calculate the LCM of 23850 and 23868.

LCM(23850,23868) = 2² × 3³ × 5² × 53¹ × 13¹ × 17¹
LCM(23850,23868) = 31625100