Least Common Multiple of 9671 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 9671 and 9675 the smallest integer that is 93566925 that is divisible by both numbers.
Least Common Multiple (LCM) of 9671 and 9675 is 93566925.
LCM(9671,9675) = 93566925
LCM of 9671 and 9675
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9671 and 9675 by Prime method
- Least Common Multiple of 9671 and 9675 with GCF Formula
LCM of 9671 and 9675 is 93566925
Least common multiple can be found by multiplying the highest exponent prime factors of 9671 and 9675. First we will calculate the prime factors of 9671 and 9675.
Prime Factorization of 9671
| 19 | 9671 |
| 509 | 509 |
| 1 |
Prime factors of 9671 are 19,509. Prime factorization of 9671 in exponential form is:
9671 = 191×5091
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 9671 and 9675.
LCM(9671,9675) = 32×52×191×431×5091
LCM(9671,9675) = 93566925
Factors of 9671
List of positive integer factors of 9671 that divides 9671 without a remainder.
1, 19, 509, 9671
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 9671 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 9671 and 9675, than apply into the LCM equation.
GCF(9671,9675) = 1
LCM(9671,9675) = ( 9671 × 9675) / 1
LCM(9671,9675) = 93566925 / 1
LCM(9671,9675) = 93566925
Properties of LCM 9671 and 9675
(i) The LCM of 9675 and 9671 is associative
LCM of 9671 and 9675 = LCM of 9675 and 9671
Related Least Common Multiples of 9671
Related Least Common Multiples of 9675
Frequently Asked Questions on LCM of 9671 and 9675
1. What is the LCM of 9671 and 9675?
Answer: LCM of 9671 and 9675 is 93566925.
2. What are the Factors of 9671?
Answer: Factors of 9671 are 1, 19, 509, 9671. There are 4 integers that are factors of 9671. The greatest factor of 9671 is 9671.
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 9671 and 9675?
Answer:
Least Common Multiple of 9671 and 9675 = 93566925
Step 1: Find the prime factorization of 9671
9671 = 19 x 509
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 = 93566925 = 3 x 3 x 5 x 5 x 19 x 43 x 509
Step 4: Therefore, the least common multiple of 9671 and 9675 is 93566925.