What is the Least Common Multiple of 12870 and 12889?

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 12870 and 12889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12870 and 12889, than apply into the LCM equation.

GCF(12870,12889) = 1
LCM(12870,12889) = ( 12870 × 12889) / 1
LCM(12870,12889) = 165881430 / 1
LCM(12870,12889) = 165881430

Least Common Multiple (LCM) of 12870 and 12889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12870 and 12889. First we will calculate the prime factors of 12870 and 12889.

Prime Factorization of 12870

Prime Factorization of 12889

Now multiplying the highest exponent prime factors to calculate the LCM of 12870 and 12889.

LCM(12870,12889) = 2¹ × 3² × 5¹ × 11¹ × 13¹ × 12889¹
LCM(12870,12889) = 165881430