Least Common Multiple of 9667 and 9675
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9667 and 9675 the smallest integer that is 93528225 that is divisible by both numbers.
Least Common Multiple (LCM) of 9667 and 9675 is 93528225.
LCM(9667,9675) = 93528225
LCM of 9667 and 9675
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9667 and 9675 by Prime method
- Least Common Multiple of 9667 and 9675 with GCF Formula
LCM of 9667 and 9675 is 93528225
Least common multiple can be found by multiplying the highest exponent prime factors of 9667 and 9675. First we will calculate the prime factors of 9667 and 9675.
Prime Factorization of 9667
| 7 | 9667 |
| 1381 | 1381 |
| 1 |
Prime factors of 9667 are 7,1381. Prime factorization of 9667 in exponential form is:
9667 = 71×13811
Prime Factorization of 9675
| 3 | 9675 |
| 3 | 3225 |
| 5 | 1075 |
| 5 | 215 |
| 43 | 43 |
| 1 |
Prime factors of 9675 are 3, 5,43. Prime factorization of 9675 in exponential form is:
9675 = 32×52×431
Now multiplying the highest exponent prime factors to calculate the LCM of 9667 and 9675.
LCM(9667,9675) = 32×52×71×431×13811
LCM(9667,9675) = 93528225
Factors of 9667
List of positive integer factors of 9667 that divides 9667 without a remainder.
1, 7, 1381, 9667
Factors of 9675
List of positive integer factors of 9675 that divides 9675 without a remainder.
1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675
Least Common Multiple of 9667 and 9675 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9667 and 9675, than apply into the LCM equation.
GCF(9667,9675) = 1
LCM(9667,9675) = ( 9667 × 9675) / 1
LCM(9667,9675) = 93528225 / 1
LCM(9667,9675) = 93528225
Properties of LCM 9667 and 9675
(i) The LCM of 9675 and 9667 is associative
LCM of 9667 and 9675 = LCM of 9675 and 9667
Related Least Common Multiples of 9667
Related Least Common Multiples of 9675
Frequently Asked Questions on LCM of 9667 and 9675
1. What is the LCM of 9667 and 9675?
Answer: LCM of 9667 and 9675 is 93528225.
2. What are the Factors of 9667?
Answer: Factors of 9667 are 1, 7, 1381, 9667. There are 4 integers that are factors of 9667. The greatest factor of 9667 is 9667.
3. What are the Factors of 9675?
Answer: Factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675. There are 18 integers that are factors of 9675. The greatest factor of 9675 is 9675.
4. How to Find the LCM of 9667 and 9675?
Answer:
Least Common Multiple of 9667 and 9675 = 93528225
Step 1: Find the prime factorization of 9667
9667 = 7 x 1381
Step 2: Find the prime factorization of 9675
9675 = 3 x 3 x 5 x 5 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93528225 = 3 x 3 x 5 x 5 x 7 x 43 x 1381
Step 4: Therefore, the least common multiple of 9667 and 9675 is 93528225.