Least Common Multiple of 9964 and 9969
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9964 and 9969 the smallest integer that is 99331116 that is divisible by both numbers.
Least Common Multiple (LCM) of 9964 and 9969 is 99331116.
LCM(9964,9969) = 99331116
LCM of 9964 and 9969
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9964 and 9969 by Prime method
- Least Common Multiple of 9964 and 9969 with GCF Formula
LCM of 9964 and 9969 is 99331116
Least common multiple can be found by multiplying the highest exponent prime factors of 9964 and 9969. First we will calculate the prime factors of 9964 and 9969.
Prime Factorization of 9964
| 2 | 9964 |
| 2 | 4982 |
| 47 | 2491 |
| 53 | 53 |
| 1 |
Prime factors of 9964 are 2, 47,53. Prime factorization of 9964 in exponential form is:
9964 = 22×471×531
Prime Factorization of 9969
| 3 | 9969 |
| 3323 | 3323 |
| 1 |
Prime factors of 9969 are 3,3323. Prime factorization of 9969 in exponential form is:
9969 = 31×33231
Now multiplying the highest exponent prime factors to calculate the LCM of 9964 and 9969.
LCM(9964,9969) = 22×31×471×531×33231
LCM(9964,9969) = 99331116
Factors of 9964
List of positive integer factors of 9964 that divides 9964 without a remainder.
1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964
Factors of 9969
List of positive integer factors of 9969 that divides 9969 without a remainder.
1, 3, 3323, 9969
Least Common Multiple of 9964 and 9969 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9964 and 9969, than apply into the LCM equation.
GCF(9964,9969) = 1
LCM(9964,9969) = ( 9964 × 9969) / 1
LCM(9964,9969) = 99331116 / 1
LCM(9964,9969) = 99331116
Properties of LCM 9964 and 9969
(i) The LCM of 9969 and 9964 is associative
LCM of 9964 and 9969 = LCM of 9969 and 9964
Related Least Common Multiples of 9964
Related Least Common Multiples of 9969
Frequently Asked Questions on LCM of 9964 and 9969
1. What is the LCM of 9964 and 9969?
Answer: LCM of 9964 and 9969 is 99331116.
2. What are the Factors of 9964?
Answer: Factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964. There are 12 integers that are factors of 9964. The greatest factor of 9964 is 9964.
3. What are the Factors of 9969?
Answer: Factors of 9969 are 1, 3, 3323, 9969. There are 4 integers that are factors of 9969. The greatest factor of 9969 is 9969.
4. How to Find the LCM of 9964 and 9969?
Answer:
Least Common Multiple of 9964 and 9969 = 99331116
Step 1: Find the prime factorization of 9964
9964 = 2 x 2 x 47 x 53
Step 2: Find the prime factorization of 9969
9969 = 3 x 3323
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99331116 = 2 x 2 x 3 x 47 x 53 x 3323
Step 4: Therefore, the least common multiple of 9964 and 9969 is 99331116.