What is the Least Common Multiple of 17832 and 17847?

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 17832 and 17847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17832 and 17847, than apply into the LCM equation.

GCF(17832,17847) = 3
LCM(17832,17847) = ( 17832 × 17847) / 3
LCM(17832,17847) = 318247704 / 3
LCM(17832,17847) = 106082568

Least Common Multiple (LCM) of 17832 and 17847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17832 and 17847. First we will calculate the prime factors of 17832 and 17847.

Prime Factorization of 17832

Prime Factorization of 17847

Now multiplying the highest exponent prime factors to calculate the LCM of 17832 and 17847.

LCM(17832,17847) = 2³ × 3³ × 743¹ × 661¹
LCM(17832,17847) = 106082568