Least Common Multiple of 9861 and 9867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9861 and 9867 the smallest integer that is 32432829 that is divisible by both numbers.

Least Common Multiple (LCM) of 9861 and 9867 is 32432829.

LCM(9861,9867) = 32432829

LCM of 9861 and 9867

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

LCM of:
and

Least Common Multiple of 9861 and 9867

LCM of 9861 and 9867 is 32432829

Least common multiple can be found by multiplying the highest exponent prime factors of 9861 and 9867. First we will calculate the prime factors of 9861 and 9867.

Prime Factorization of 9861


3 9861
19 3287
173 173
1

Prime factors of 9861 are 3, 19,173. Prime factorization of 9861 in exponential form is:

9861 = 31×191×1731

Prime Factorization of 9867


3 9867
11 3289
13 299
23 23
1

Prime factors of 9867 are 3, 11, 13,23. Prime factorization of 9867 in exponential form is:

9867 = 31×111×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 9861 and 9867.

LCM(9861,9867) = 31×111×131×191×231×1731
LCM(9861,9867) = 32432829

Factors of 9861

List of positive integer factors of 9861 that divides 9861 without a remainder.

1, 3, 19, 57, 173, 519, 3287, 9861

Factors of 9867

List of positive integer factors of 9867 that divides 9867 without a remainder.

1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867

Least Common Multiple of 9861 and 9867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9861 and 9867, than apply into the LCM equation.

GCF(9861,9867) = 3
LCM(9861,9867) = ( 9861 × 9867) / 3
LCM(9861,9867) = 97298487 / 3
LCM(9861,9867) = 32432829

Properties of LCM 9861 and 9867

(i) The LCM of 9867 and 9861 is associative

LCM of 9861 and 9867 = LCM of 9867 and 9861

Related Least Common Multiples of 9861

Related Least Common Multiples of 9867

Frequently Asked Questions on LCM of 9861 and 9867

1. What is the LCM of 9861 and 9867?

Answer: LCM of 9861 and 9867 is 32432829.

2. What are the Factors of 9861?

Answer: Factors of 9861 are 1, 3, 19, 57, 173, 519, 3287, 9861. There are 8 integers that are factors of 9861. The greatest factor of 9861 is 9861.

3. What are the Factors of 9867?

Answer: Factors of 9867 are 1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867. There are 16 integers that are factors of 9867. The greatest factor of 9867 is 9867.

4. How to Find the LCM of 9861 and 9867?

Answer:

Least Common Multiple of 9861 and 9867 = 32432829

Step 1: Find the prime factorization of 9861

9861 = 3 x 19 x 173

Step 2: Find the prime factorization of 9867

9867 = 3 x 11 x 13 x 23

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

LCM = 32432829 = 3 x 11 x 13 x 19 x 23 x 173

Step 4: Therefore, the least common multiple of 9861 and 9867 is 32432829.