Least Common Multiple of 9975 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 9975 and 9979 the smallest integer that is 99540525 that is divisible by both numbers.
Least Common Multiple (LCM) of 9975 and 9979 is 99540525.
LCM(9975,9979) = 99540525
LCM of 9975 and 9979
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9975 and 9979 by Prime method
- Least Common Multiple of 9975 and 9979 with GCF Formula
LCM of 9975 and 9979 is 99540525
Least common multiple can be found by multiplying the highest exponent prime factors of 9975 and 9979. First we will calculate the prime factors of 9975 and 9979.
Prime Factorization of 9975
| 3 | 9975 |
| 5 | 3325 |
| 5 | 665 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 9975 are 3, 5, 7,19. Prime factorization of 9975 in exponential form is:
9975 = 31×52×71×191
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 9975 and 9979.
LCM(9975,9979) = 31×52×71×171×191×5871
LCM(9975,9979) = 99540525
Factors of 9975
List of positive integer factors of 9975 that divides 9975 without a remainder.
1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975
Factors of 9979
List of positive integer factors of 9979 that divides 9979 without a remainder.
1, 17, 587, 9979
Least Common Multiple of 9975 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 9975 and 9979, than apply into the LCM equation.
GCF(9975,9979) = 1
LCM(9975,9979) = ( 9975 × 9979) / 1
LCM(9975,9979) = 99540525 / 1
LCM(9975,9979) = 99540525
Properties of LCM 9975 and 9979
(i) The LCM of 9979 and 9975 is associative
LCM of 9975 and 9979 = LCM of 9979 and 9975
Related Least Common Multiples of 9975
Related Least Common Multiples of 9979
Frequently Asked Questions on LCM of 9975 and 9979
1. What is the LCM of 9975 and 9979?
Answer: LCM of 9975 and 9979 is 99540525.
2. What are the Factors of 9975?
Answer: Factors of 9975 are 1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975. There are 24 integers that are factors of 9975. The greatest factor of 9975 is 9975.
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 9975 and 9979?
Answer:
Least Common Multiple of 9975 and 9979 = 99540525
Step 1: Find the prime factorization of 9975
9975 = 3 x 5 x 5 x 7 x 19
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 = 99540525 = 3 x 5 x 5 x 7 x 17 x 19 x 587
Step 4: Therefore, the least common multiple of 9975 and 9979 is 99540525.