What is the Least Common Multiple of 23868 and 23873?

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 23873 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 23873, than apply into the LCM equation.

GCF(23868,23873) = 1
LCM(23868,23873) = ( 23868 × 23873) / 1
LCM(23868,23873) = 569800764 / 1
LCM(23868,23873) = 569800764

Least Common Multiple (LCM) of 23868 and 23873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23868 and 23873. First we will calculate the prime factors of 23868 and 23873.

Prime Factorization of 23868

Prime Factorization of 23873

Now multiplying the highest exponent prime factors to calculate the LCM of 23868 and 23873.

LCM(23868,23873) = 2² × 3³ × 13¹ × 17¹ × 23873¹
LCM(23868,23873) = 569800764