Least Common Multiple of 9846 and 9852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9846 and 9852 the smallest integer that is 16167132 that is divisible by both numbers.

Least Common Multiple (LCM) of 9846 and 9852 is 16167132.

LCM(9846,9852) = 16167132

LCM of 9846 and 9852

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9846 and 9852

LCM of 9846 and 9852 is 16167132

Least common multiple can be found by multiplying the highest exponent prime factors of 9846 and 9852. First we will calculate the prime factors of 9846 and 9852.

Prime Factorization of 9846


2 9846
3 4923
3 1641
547 547
1

Prime factors of 9846 are 2, 3,547. Prime factorization of 9846 in exponential form is:

9846 = 21×32×5471

Prime Factorization of 9852


2 9852
2 4926
3 2463
821 821
1

Prime factors of 9852 are 2, 3,821. Prime factorization of 9852 in exponential form is:

9852 = 22×31×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 9846 and 9852.

LCM(9846,9852) = 22×32×5471×8211
LCM(9846,9852) = 16167132

Factors of 9846

List of positive integer factors of 9846 that divides 9846 without a remainder.

1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846

Factors of 9852

List of positive integer factors of 9852 that divides 9852 without a remainder.

1, 2, 3, 4, 6, 12, 821, 1642, 2463, 3284, 4926, 9852

Least Common Multiple of 9846 and 9852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9846 and 9852, than apply into the LCM equation.

GCF(9846,9852) = 6
LCM(9846,9852) = ( 9846 × 9852) / 6
LCM(9846,9852) = 97002792 / 6
LCM(9846,9852) = 16167132

Properties of LCM 9846 and 9852

(i) The LCM of 9852 and 9846 is associative

LCM of 9846 and 9852 = LCM of 9852 and 9846

Related Least Common Multiples of 9846

Related Least Common Multiples of 9852

Frequently Asked Questions on LCM of 9846 and 9852

1. What is the LCM of 9846 and 9852?

Answer: LCM of 9846 and 9852 is 16167132.

2. What are the Factors of 9846?

Answer: Factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846. There are 12 integers that are factors of 9846. The greatest factor of 9846 is 9846.

3. What are the Factors of 9852?

Answer: Factors of 9852 are 1, 2, 3, 4, 6, 12, 821, 1642, 2463, 3284, 4926, 9852. There are 12 integers that are factors of 9852. The greatest factor of 9852 is 9852.

4. How to Find the LCM of 9846 and 9852?

Answer:

Least Common Multiple of 9846 and 9852 = 16167132

Step 1: Find the prime factorization of 9846

9846 = 2 x 3 x 3 x 547

Step 2: Find the prime factorization of 9852

9852 = 2 x 2 x 3 x 821

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 16167132 = 2 x 2 x 3 x 3 x 547 x 821

Step 4: Therefore, the least common multiple of 9846 and 9852 is 16167132.