What is the Least Common Multiple of 42870 and 42889?

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 42870 and 42889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42870 and 42889, than apply into the LCM equation.

GCF(42870,42889) = 1
LCM(42870,42889) = ( 42870 × 42889) / 1
LCM(42870,42889) = 1838651430 / 1
LCM(42870,42889) = 1838651430

Least Common Multiple (LCM) of 42870 and 42889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42870 and 42889. First we will calculate the prime factors of 42870 and 42889.

Prime Factorization of 42870

Prime Factorization of 42889

Now multiplying the highest exponent prime factors to calculate the LCM of 42870 and 42889.

LCM(42870,42889) = 2¹ × 3¹ × 5¹ × 1429¹ × 7¹ × 11¹ × 557¹
LCM(42870,42889) = 1838651430