What is the Least Common Multiple of 69837 and 69843?

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 69837 and 69843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69837 and 69843, than apply into the LCM equation.

GCF(69837,69843) = 3
LCM(69837,69843) = ( 69837 × 69843) / 3
LCM(69837,69843) = 4877625591 / 3
LCM(69837,69843) = 1625875197

Least Common Multiple (LCM) of 69837 and 69843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69837 and 69843. First we will calculate the prime factors of 69837 and 69843.

Prime Factorization of 69837

Prime Factorization of 69843

Now multiplying the highest exponent prime factors to calculate the LCM of 69837 and 69843.

LCM(69837,69843) = 3¹ × 23279¹ × 31¹ × 751¹
LCM(69837,69843) = 1625875197