What is the Least Common Multiple of 17823 and 17832?

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 17823 and 17832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17823 and 17832, than apply into the LCM equation.

GCF(17823,17832) = 3
LCM(17823,17832) = ( 17823 × 17832) / 3
LCM(17823,17832) = 317819736 / 3
LCM(17823,17832) = 105939912

Least Common Multiple (LCM) of 17823 and 17832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17823 and 17832. First we will calculate the prime factors of 17823 and 17832.

Prime Factorization of 17823

Prime Factorization of 17832

Now multiplying the highest exponent prime factors to calculate the LCM of 17823 and 17832.

LCM(17823,17832) = 3¹ × 13¹ × 457¹ × 2³ × 743¹
LCM(17823,17832) = 105939912