Least Common Multiple of 9860 and 9866

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 9866 the smallest integer that is 48639380 that is divisible by both numbers.

Least Common Multiple (LCM) of 9860 and 9866 is 48639380.

LCM(9860,9866) = 48639380

LCM of 9860 and 9866

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

LCM of:
and

Least Common Multiple of 9860 and 9866

LCM of 9860 and 9866 is 48639380

Least common multiple can be found by multiplying the highest exponent prime factors of 9860 and 9866. First we will calculate the prime factors of 9860 and 9866.

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 9866


2 9866
4933 4933
1

Prime factors of 9866 are 2,4933. Prime factorization of 9866 in exponential form is:

9866 = 21×49331

Now multiplying the highest exponent prime factors to calculate the LCM of 9860 and 9866.

LCM(9860,9866) = 22×51×171×291×49331
LCM(9860,9866) = 48639380

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 9866

List of positive integer factors of 9866 that divides 9866 without a remainder.

1, 2, 4933, 9866

Least Common Multiple of 9860 and 9866 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 9866, than apply into the LCM equation.

GCF(9860,9866) = 2
LCM(9860,9866) = ( 9860 × 9866) / 2
LCM(9860,9866) = 97278760 / 2
LCM(9860,9866) = 48639380

Properties of LCM 9860 and 9866

(i) The LCM of 9866 and 9860 is associative

LCM of 9860 and 9866 = LCM of 9866 and 9860

Related Least Common Multiples of 9860

Related Least Common Multiples of 9866

Frequently Asked Questions on LCM of 9860 and 9866

1. What is the LCM of 9860 and 9866?

Answer: LCM of 9860 and 9866 is 48639380.

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 9866?

Answer: Factors of 9866 are 1, 2, 4933, 9866. There are 4 integers that are factors of 9866. The greatest factor of 9866 is 9866.

4. How to Find the LCM of 9860 and 9866?

Answer:

Least Common Multiple of 9860 and 9866 = 48639380

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 9866

9866 = 2 x 4933

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

LCM = 48639380 = 2 x 2 x 5 x 17 x 29 x 4933

Step 4: Therefore, the least common multiple of 9860 and 9866 is 48639380.