Least Common Multiple of 9852 and 9860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9852 and 9860 the smallest integer that is 24285180 that is divisible by both numbers.

Least Common Multiple (LCM) of 9852 and 9860 is 24285180.

LCM(9852,9860) = 24285180

LCM of 9852 and 9860

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

LCM of:
and

Least Common Multiple of 9852 and 9860

LCM of 9852 and 9860 is 24285180

Least common multiple can be found by multiplying the highest exponent prime factors of 9852 and 9860. First we will calculate the prime factors of 9852 and 9860.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9852 and 9860.

LCM(9852,9860) = 22×31×51×171×291×8211
LCM(9852,9860) = 24285180

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

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

Least Common Multiple of 9852 and 9860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9852 and 9860, than apply into the LCM equation.

GCF(9852,9860) = 4
LCM(9852,9860) = ( 9852 × 9860) / 4
LCM(9852,9860) = 97140720 / 4
LCM(9852,9860) = 24285180

Properties of LCM 9852 and 9860

(i) The LCM of 9860 and 9852 is associative

LCM of 9852 and 9860 = LCM of 9860 and 9852

Related Least Common Multiples of 9852

Related Least Common Multiples of 9860

Frequently Asked Questions on LCM of 9852 and 9860

1. What is the LCM of 9852 and 9860?

Answer: LCM of 9852 and 9860 is 24285180.

2. 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.

3. 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.

4. How to Find the LCM of 9852 and 9860?

Answer:

Least Common Multiple of 9852 and 9860 = 24285180

Step 1: Find the prime factorization of 9852

9852 = 2 x 2 x 3 x 821

Step 2: Find the prime factorization of 9860

9860 = 2 x 2 x 5 x 17 x 29

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

LCM = 24285180 = 2 x 2 x 3 x 5 x 17 x 29 x 821

Step 4: Therefore, the least common multiple of 9852 and 9860 is 24285180.