Least Common Multiple of 9996 and 10002
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 10002 the smallest integer that is 16663332 that is divisible by both numbers.
Least Common Multiple (LCM) of 9996 and 10002 is 16663332.
LCM(9996,10002) = 16663332
LCM of 9996 and 10002
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9996 and 10002 by Prime method
- Least Common Multiple of 9996 and 10002 with GCF Formula
LCM of 9996 and 10002 is 16663332
Least common multiple can be found by multiplying the highest exponent prime factors of 9996 and 10002. First we will calculate the prime factors of 9996 and 10002.
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 10002
| 2 | 10002 |
| 3 | 5001 |
| 1667 | 1667 |
| 1 |
Prime factors of 10002 are 2, 3,1667. Prime factorization of 10002 in exponential form is:
10002 = 21×31×16671
Now multiplying the highest exponent prime factors to calculate the LCM of 9996 and 10002.
LCM(9996,10002) = 22×31×72×171×16671
LCM(9996,10002) = 16663332
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 10002
List of positive integer factors of 10002 that divides 10002 without a remainder.
1, 2, 3, 6, 1667, 3334, 5001, 10002
Least Common Multiple of 9996 and 10002 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 10002, than apply into the LCM equation.
GCF(9996,10002) = 6
LCM(9996,10002) = ( 9996 × 10002) / 6
LCM(9996,10002) = 99979992 / 6
LCM(9996,10002) = 16663332
Properties of LCM 9996 and 10002
(i) The LCM of 10002 and 9996 is associative
LCM of 9996 and 10002 = LCM of 10002 and 9996
Related Least Common Multiples of 9996
Related Least Common Multiples of 10002
Frequently Asked Questions on LCM of 9996 and 10002
1. What is the LCM of 9996 and 10002?
Answer: LCM of 9996 and 10002 is 16663332.
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 10002?
Answer: Factors of 10002 are 1, 2, 3, 6, 1667, 3334, 5001, 10002. There are 8 integers that are factors of 10002. The greatest factor of 10002 is 10002.
4. How to Find the LCM of 9996 and 10002?
Answer:
Least Common Multiple of 9996 and 10002 = 16663332
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 10002
10002 = 2 x 3 x 1667
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16663332 = 2 x 2 x 3 x 7 x 7 x 17 x 1667
Step 4: Therefore, the least common multiple of 9996 and 10002 is 16663332.