What is the Least Common Multiple of 9831 and 9846?

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 9831 and 9846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9831 and 9846, than apply into the LCM equation.

GCF(9831,9846) = 3
LCM(9831,9846) = ( 9831 × 9846) / 3
LCM(9831,9846) = 96796026 / 3
LCM(9831,9846) = 32265342

Least Common Multiple (LCM) of 9831 and 9846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9831 and 9846. First we will calculate the prime factors of 9831 and 9846.

Prime Factorization of 9831

Prime Factorization of 9846

Now multiplying the highest exponent prime factors to calculate the LCM of 9831 and 9846.

LCM(9831,9846) = 3² × 29¹ × 113¹ × 2¹ × 547¹
LCM(9831,9846) = 32265342