What is the Least Common Multiple of 15864 and 15873?

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 15864 and 15873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15864 and 15873, than apply into the LCM equation.

GCF(15864,15873) = 3
LCM(15864,15873) = ( 15864 × 15873) / 3
LCM(15864,15873) = 251809272 / 3
LCM(15864,15873) = 83936424

Least Common Multiple (LCM) of 15864 and 15873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15864 and 15873. First we will calculate the prime factors of 15864 and 15873.

Prime Factorization of 15864

Prime Factorization of 15873

Now multiplying the highest exponent prime factors to calculate the LCM of 15864 and 15873.

LCM(15864,15873) = 2³ × 3¹ × 661¹ × 11¹ × 13¹ × 37¹
LCM(15864,15873) = 83936424