What is the Least Common Multiple of 79870 and 79889?

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 79870 and 79889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79870 and 79889, than apply into the LCM equation.

GCF(79870,79889) = 1
LCM(79870,79889) = ( 79870 × 79889) / 1
LCM(79870,79889) = 6380734430 / 1
LCM(79870,79889) = 6380734430

Least Common Multiple (LCM) of 79870 and 79889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79870 and 79889. First we will calculate the prime factors of 79870 and 79889.

Prime Factorization of 79870

Prime Factorization of 79889

Now multiplying the highest exponent prime factors to calculate the LCM of 79870 and 79889.

LCM(79870,79889) = 2¹ × 5¹ × 7² × 163¹ × 79889¹
LCM(79870,79889) = 6380734430