Least Common Multiple of 9996 and 10004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9996 and 10004 the smallest integer that is 24999996 that is divisible by both numbers.

Least Common Multiple (LCM) of 9996 and 10004 is 24999996.

LCM(9996,10004) = 24999996

LCM of 9996 and 10004

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

LCM of:
and

Least Common Multiple of 9996 and 10004

LCM of 9996 and 10004 is 24999996

Least common multiple can be found by multiplying the highest exponent prime factors of 9996 and 10004. First we will calculate the prime factors of 9996 and 10004.

Prime Factorization of 9996


2 9996
2 4998
3 2499
7 833
7 119
17 17
1

Prime factors of 9996 are 2, 3, 7,17. Prime factorization of 9996 in exponential form is:

9996 = 22×31×72×171

Prime Factorization of 10004


2 10004
2 5002
41 2501
61 61
1

Prime factors of 10004 are 2, 41,61. Prime factorization of 10004 in exponential form is:

10004 = 22×411×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9996 and 10004.

LCM(9996,10004) = 22×31×72×171×411×611
LCM(9996,10004) = 24999996

Factors of 9996

List of positive integer factors of 9996 that divides 9996 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996

Factors of 10004

List of positive integer factors of 10004 that divides 10004 without a remainder.

1, 2, 4, 41, 61, 82, 122, 164, 244, 2501, 5002, 10004

Least Common Multiple of 9996 and 10004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9996 and 10004, than apply into the LCM equation.

GCF(9996,10004) = 4
LCM(9996,10004) = ( 9996 × 10004) / 4
LCM(9996,10004) = 99999984 / 4
LCM(9996,10004) = 24999996

Properties of LCM 9996 and 10004

(i) The LCM of 10004 and 9996 is associative

LCM of 9996 and 10004 = LCM of 10004 and 9996

Related Least Common Multiples of 9996

Related Least Common Multiples of 10004

Frequently Asked Questions on LCM of 9996 and 10004

1. What is the LCM of 9996 and 10004?

Answer: LCM of 9996 and 10004 is 24999996.

2. What are the Factors of 9996?

Answer: Factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996. There are 36 integers that are factors of 9996. The greatest factor of 9996 is 9996.

3. What are the Factors of 10004?

Answer: Factors of 10004 are 1, 2, 4, 41, 61, 82, 122, 164, 244, 2501, 5002, 10004. There are 12 integers that are factors of 10004. The greatest factor of 10004 is 10004.

4. How to Find the LCM of 9996 and 10004?

Answer:

Least Common Multiple of 9996 and 10004 = 24999996

Step 1: Find the prime factorization of 9996

9996 = 2 x 2 x 3 x 7 x 7 x 17

Step 2: Find the prime factorization of 10004

10004 = 2 x 2 x 41 x 61

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

LCM = 24999996 = 2 x 2 x 3 x 7 x 7 x 17 x 41 x 61

Step 4: Therefore, the least common multiple of 9996 and 10004 is 24999996.