What is the Least Common Multiple of 15870 and 15882?

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 15882 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 15882, than apply into the LCM equation.

GCF(15870,15882) = 6
LCM(15870,15882) = ( 15870 × 15882) / 6
LCM(15870,15882) = 252047340 / 6
LCM(15870,15882) = 42007890

Least Common Multiple (LCM) of 15870 and 15882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15870 and 15882. First we will calculate the prime factors of 15870 and 15882.

Prime Factorization of 15870

Prime Factorization of 15882

Now multiplying the highest exponent prime factors to calculate the LCM of 15870 and 15882.

LCM(15870,15882) = 2¹ × 3¹ × 5¹ × 23² × 2647¹
LCM(15870,15882) = 42007890