What is the Least Common Multiple of 12870 and 12885?

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 12885 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 12885, than apply into the LCM equation.

GCF(12870,12885) = 15
LCM(12870,12885) = ( 12870 × 12885) / 15
LCM(12870,12885) = 165829950 / 15
LCM(12870,12885) = 11055330

Least Common Multiple (LCM) of 12870 and 12885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12870 and 12885. First we will calculate the prime factors of 12870 and 12885.

Prime Factorization of 12870

Prime Factorization of 12885

Now multiplying the highest exponent prime factors to calculate the LCM of 12870 and 12885.

LCM(12870,12885) = 2¹ × 3² × 5¹ × 11¹ × 13¹ × 859¹
LCM(12870,12885) = 11055330