Least Common Multiple of 9860 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 9860 and 9867 the smallest integer that is 97288620 that is divisible by both numbers.

Least Common Multiple (LCM) of 9860 and 9867 is 97288620.

LCM(9860,9867) = 97288620

LCM of 9860 and 9867

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

LCM of:
and

Least Common Multiple of 9860 and 9867

LCM of 9860 and 9867 is 97288620

Least common multiple can be found by multiplying the highest exponent prime factors of 9860 and 9867. First we will calculate the prime factors of 9860 and 9867.

Prime Factorization of 9860


2 9860
2 4930
5 2465
17 493
29 29
1

Prime factors of 9860 are 2, 5, 17,29. Prime factorization of 9860 in exponential form is:

9860 = 22×51×171×291

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 9860 and 9867.

LCM(9860,9867) = 22×31×51×111×131×171×231×291
LCM(9860,9867) = 97288620

Factors of 9860

List of positive integer factors of 9860 that divides 9860 without a remainder.

1, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930, 9860

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 9860 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 9860 and 9867, than apply into the LCM equation.

GCF(9860,9867) = 1
LCM(9860,9867) = ( 9860 × 9867) / 1
LCM(9860,9867) = 97288620 / 1
LCM(9860,9867) = 97288620

Properties of LCM 9860 and 9867

(i) The LCM of 9867 and 9860 is associative

LCM of 9860 and 9867 = LCM of 9867 and 9860

Related Least Common Multiples of 9860

Related Least Common Multiples of 9867

Frequently Asked Questions on LCM of 9860 and 9867

1. What is the LCM of 9860 and 9867?

Answer: LCM of 9860 and 9867 is 97288620.

2. What are the Factors of 9860?

Answer: Factors of 9860 are 1, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930, 9860. There are 24 integers that are factors of 9860. The greatest factor of 9860 is 9860.

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 9860 and 9867?

Answer:

Least Common Multiple of 9860 and 9867 = 97288620

Step 1: Find the prime factorization of 9860

9860 = 2 x 2 x 5 x 17 x 29

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 = 97288620 = 2 x 2 x 3 x 5 x 11 x 13 x 17 x 23 x 29

Step 4: Therefore, the least common multiple of 9860 and 9867 is 97288620.