Least Common Multiple of 9975 and 9977
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 9977 the smallest integer that is 99520575 that is divisible by both numbers.
Least Common Multiple (LCM) of 9975 and 9977 is 99520575.
LCM(9975,9977) = 99520575
LCM of 9975 and 9977
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9975 and 9977 by Prime method
- Least Common Multiple of 9975 and 9977 with GCF Formula
LCM of 9975 and 9977 is 99520575
Least common multiple can be found by multiplying the highest exponent prime factors of 9975 and 9977. First we will calculate the prime factors of 9975 and 9977.
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 9977
| 11 | 9977 |
| 907 | 907 |
| 1 |
Prime factors of 9977 are 11,907. Prime factorization of 9977 in exponential form is:
9977 = 111×9071
Now multiplying the highest exponent prime factors to calculate the LCM of 9975 and 9977.
LCM(9975,9977) = 31×52×71×111×191×9071
LCM(9975,9977) = 99520575
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 9977
List of positive integer factors of 9977 that divides 9977 without a remainder.
1, 11, 907, 9977
Least Common Multiple of 9975 and 9977 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 9977, than apply into the LCM equation.
GCF(9975,9977) = 1
LCM(9975,9977) = ( 9975 × 9977) / 1
LCM(9975,9977) = 99520575 / 1
LCM(9975,9977) = 99520575
Properties of LCM 9975 and 9977
(i) The LCM of 9977 and 9975 is associative
LCM of 9975 and 9977 = LCM of 9977 and 9975
Related Least Common Multiples of 9975
Related Least Common Multiples of 9977
Frequently Asked Questions on LCM of 9975 and 9977
1. What is the LCM of 9975 and 9977?
Answer: LCM of 9975 and 9977 is 99520575.
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 9977?
Answer: Factors of 9977 are 1, 11, 907, 9977. There are 4 integers that are factors of 9977. The greatest factor of 9977 is 9977.
4. How to Find the LCM of 9975 and 9977?
Answer:
Least Common Multiple of 9975 and 9977 = 99520575
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 9977
9977 = 11 x 907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99520575 = 3 x 5 x 5 x 7 x 11 x 19 x 907
Step 4: Therefore, the least common multiple of 9975 and 9977 is 99520575.
