Least Common Multiple of 9967 and 9975
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9967 and 9975 the smallest integer that is 99420825 that is divisible by both numbers.
Least Common Multiple (LCM) of 9967 and 9975 is 99420825.
LCM(9967,9975) = 99420825
LCM of 9967 and 9975
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9967 and 9975 by Prime method
- Least Common Multiple of 9967 and 9975 with GCF Formula
LCM of 9967 and 9975 is 99420825
Least common multiple can be found by multiplying the highest exponent prime factors of 9967 and 9975. First we will calculate the prime factors of 9967 and 9975.
Prime Factorization of 9967
| 9967 | 9967 |
| 1 |
Prime factors of 9967 are 9967. Prime factorization of 9967 in exponential form is:
9967 = 99671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9967 and 9975.
LCM(9967,9975) = 31×52×71×191×99671
LCM(9967,9975) = 99420825
Factors of 9967
List of positive integer factors of 9967 that divides 9967 without a remainder.
1, 9967
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
Least Common Multiple of 9967 and 9975 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9967 and 9975, than apply into the LCM equation.
GCF(9967,9975) = 1
LCM(9967,9975) = ( 9967 × 9975) / 1
LCM(9967,9975) = 99420825 / 1
LCM(9967,9975) = 99420825
Properties of LCM 9967 and 9975
(i) The LCM of 9975 and 9967 is associative
LCM of 9967 and 9975 = LCM of 9975 and 9967
Related Least Common Multiples of 9967
Related Least Common Multiples of 9975
Frequently Asked Questions on LCM of 9967 and 9975
1. What is the LCM of 9967 and 9975?
Answer: LCM of 9967 and 9975 is 99420825.
2. What are the Factors of 9967?
Answer: Factors of 9967 are 1, 9967. There are 2 integers that are factors of 9967. The greatest factor of 9967 is 9967.
3. 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.
4. How to Find the LCM of 9967 and 9975?
Answer:
Least Common Multiple of 9967 and 9975 = 99420825
Step 1: Find the prime factorization of 9967
9967 = 9967
Step 2: Find the prime factorization of 9975
9975 = 3 x 5 x 5 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99420825 = 3 x 5 x 5 x 7 x 19 x 9967
Step 4: Therefore, the least common multiple of 9967 and 9975 is 99420825.
