What is the Least Common Multiple of 71823 and 71828?

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 71823 and 71828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71823 and 71828, than apply into the LCM equation.

GCF(71823,71828) = 1
LCM(71823,71828) = ( 71823 × 71828) / 1
LCM(71823,71828) = 5158902444 / 1
LCM(71823,71828) = 5158902444

Least Common Multiple (LCM) of 71823 and 71828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71823 and 71828. First we will calculate the prime factors of 71823 and 71828.

Prime Factorization of 71823

Prime Factorization of 71828

Now multiplying the highest exponent prime factors to calculate the LCM of 71823 and 71828.

LCM(71823,71828) = 3¹ × 89¹ × 269¹ × 2² × 17957¹
LCM(71823,71828) = 5158902444