Least Common Multiple of 9971 and 9979
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9971 and 9979 the smallest integer that is 99500609 that is divisible by both numbers.
Least Common Multiple (LCM) of 9971 and 9979 is 99500609.
LCM(9971,9979) = 99500609
LCM of 9971 and 9979
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9971 and 9979 by Prime method
- Least Common Multiple of 9971 and 9979 with GCF Formula
LCM of 9971 and 9979 is 99500609
Least common multiple can be found by multiplying the highest exponent prime factors of 9971 and 9979. First we will calculate the prime factors of 9971 and 9979.
Prime Factorization of 9971
| 13 | 9971 |
| 13 | 767 |
| 59 | 59 |
| 1 |
Prime factors of 9971 are 13,59. Prime factorization of 9971 in exponential form is:
9971 = 132×591
Prime Factorization of 9979
| 17 | 9979 |
| 587 | 587 |
| 1 |
Prime factors of 9979 are 17,587. Prime factorization of 9979 in exponential form is:
9979 = 171×5871
Now multiplying the highest exponent prime factors to calculate the LCM of 9971 and 9979.
LCM(9971,9979) = 132×171×591×5871
LCM(9971,9979) = 99500609
Factors of 9971
List of positive integer factors of 9971 that divides 9971 without a remainder.
1, 13, 59, 169, 767, 9971
Factors of 9979
List of positive integer factors of 9979 that divides 9979 without a remainder.
1, 17, 587, 9979
Least Common Multiple of 9971 and 9979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9971 and 9979, than apply into the LCM equation.
GCF(9971,9979) = 1
LCM(9971,9979) = ( 9971 × 9979) / 1
LCM(9971,9979) = 99500609 / 1
LCM(9971,9979) = 99500609
Properties of LCM 9971 and 9979
(i) The LCM of 9979 and 9971 is associative
LCM of 9971 and 9979 = LCM of 9979 and 9971
Related Least Common Multiples of 9971
Related Least Common Multiples of 9979
Frequently Asked Questions on LCM of 9971 and 9979
1. What is the LCM of 9971 and 9979?
Answer: LCM of 9971 and 9979 is 99500609.
2. What are the Factors of 9971?
Answer: Factors of 9971 are 1, 13, 59, 169, 767, 9971. There are 6 integers that are factors of 9971. The greatest factor of 9971 is 9971.
3. What are the Factors of 9979?
Answer: Factors of 9979 are 1, 17, 587, 9979. There are 4 integers that are factors of 9979. The greatest factor of 9979 is 9979.
4. How to Find the LCM of 9971 and 9979?
Answer:
Least Common Multiple of 9971 and 9979 = 99500609
Step 1: Find the prime factorization of 9971
9971 = 13 x 13 x 59
Step 2: Find the prime factorization of 9979
9979 = 17 x 587
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99500609 = 13 x 13 x 17 x 59 x 587
Step 4: Therefore, the least common multiple of 9971 and 9979 is 99500609.