What is the Least Common Multiple of 12870 and 12887?

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 12887 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 12887, than apply into the LCM equation.

GCF(12870,12887) = 1
LCM(12870,12887) = ( 12870 × 12887) / 1
LCM(12870,12887) = 165855690 / 1
LCM(12870,12887) = 165855690

Least Common Multiple (LCM) of 12870 and 12887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12870 and 12887. First we will calculate the prime factors of 12870 and 12887.

Prime Factorization of 12870

Prime Factorization of 12887

Now multiplying the highest exponent prime factors to calculate the LCM of 12870 and 12887.

LCM(12870,12887) = 2¹ × 3² × 5¹ × 11¹ × 13¹ × 7² × 263¹
LCM(12870,12887) = 165855690