What is the Least Common Multiple of 15870 and 15878?

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 15870 and 15878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15870 and 15878, than apply into the LCM equation.

GCF(15870,15878) = 2
LCM(15870,15878) = ( 15870 × 15878) / 2
LCM(15870,15878) = 251983860 / 2
LCM(15870,15878) = 125991930

Least Common Multiple (LCM) of 15870 and 15878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15870 and 15878. First we will calculate the prime factors of 15870 and 15878.

Prime Factorization of 15870

Prime Factorization of 15878

Now multiplying the highest exponent prime factors to calculate the LCM of 15870 and 15878.

LCM(15870,15878) = 2¹ × 3¹ × 5¹ × 23² × 17¹ × 467¹
LCM(15870,15878) = 125991930