What is the Least Common Multiple of 48870 and 48889?

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 48870 and 48889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48870 and 48889, than apply into the LCM equation.

GCF(48870,48889) = 1
LCM(48870,48889) = ( 48870 × 48889) / 1
LCM(48870,48889) = 2389205430 / 1
LCM(48870,48889) = 2389205430

Least Common Multiple (LCM) of 48870 and 48889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48870 and 48889. First we will calculate the prime factors of 48870 and 48889.

Prime Factorization of 48870

Prime Factorization of 48889

Now multiplying the highest exponent prime factors to calculate the LCM of 48870 and 48889.

LCM(48870,48889) = 2¹ × 3³ × 5¹ × 181¹ × 48889¹
LCM(48870,48889) = 2389205430