What is the Least Common Multiple of 18870 and 18889?

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 18870 and 18889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18870 and 18889, than apply into the LCM equation.

GCF(18870,18889) = 1
LCM(18870,18889) = ( 18870 × 18889) / 1
LCM(18870,18889) = 356435430 / 1
LCM(18870,18889) = 356435430

Least Common Multiple (LCM) of 18870 and 18889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18870 and 18889. First we will calculate the prime factors of 18870 and 18889.

Prime Factorization of 18870

Prime Factorization of 18889

Now multiplying the highest exponent prime factors to calculate the LCM of 18870 and 18889.

LCM(18870,18889) = 2¹ × 3¹ × 5¹ × 17¹ × 37¹ × 13¹ × 1453¹
LCM(18870,18889) = 356435430