What is the Least Common Multiple of 23868 and 23878?

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 23868 and 23878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23868 and 23878, than apply into the LCM equation.

GCF(23868,23878) = 2
LCM(23868,23878) = ( 23868 × 23878) / 2
LCM(23868,23878) = 569920104 / 2
LCM(23868,23878) = 284960052

Least Common Multiple (LCM) of 23868 and 23878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23868 and 23878. First we will calculate the prime factors of 23868 and 23878.

Prime Factorization of 23868

Prime Factorization of 23878

Now multiplying the highest exponent prime factors to calculate the LCM of 23868 and 23878.

LCM(23868,23878) = 2² × 3³ × 13¹ × 17¹ × 11939¹
LCM(23868,23878) = 284960052