What is the Least Common Multiple of 69843 and 69847?

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 69843 and 69847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69843 and 69847, than apply into the LCM equation.

GCF(69843,69847) = 1
LCM(69843,69847) = ( 69843 × 69847) / 1
LCM(69843,69847) = 4878324021 / 1
LCM(69843,69847) = 4878324021

Least Common Multiple (LCM) of 69843 and 69847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69843 and 69847. First we will calculate the prime factors of 69843 and 69847.

Prime Factorization of 69843

Prime Factorization of 69847

Now multiplying the highest exponent prime factors to calculate the LCM of 69843 and 69847.

LCM(69843,69847) = 3¹ × 31¹ × 751¹ × 69847¹
LCM(69843,69847) = 4878324021