Least Common Multiple of 9667 and 9671
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 9671 the smallest integer that is 93489557 that is divisible by both numbers.
Least Common Multiple (LCM) of 9667 and 9671 is 93489557.
LCM(9667,9671) = 93489557
LCM of 9667 and 9671
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9667 and 9671 by Prime method
- Least Common Multiple of 9667 and 9671 with GCF Formula
LCM of 9667 and 9671 is 93489557
Least common multiple can be found by multiplying the highest exponent prime factors of 9667 and 9671. First we will calculate the prime factors of 9667 and 9671.
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 9671
| 19 | 9671 |
| 509 | 509 |
| 1 |
Prime factors of 9671 are 19,509. Prime factorization of 9671 in exponential form is:
9671 = 191×5091
Now multiplying the highest exponent prime factors to calculate the LCM of 9667 and 9671.
LCM(9667,9671) = 71×191×5091×13811
LCM(9667,9671) = 93489557
Factors of 9667
List of positive integer factors of 9667 that divides 9667 without a remainder.
1, 7, 1381, 9667
Factors of 9671
List of positive integer factors of 9671 that divides 9671 without a remainder.
1, 19, 509, 9671
Least Common Multiple of 9667 and 9671 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 9671, than apply into the LCM equation.
GCF(9667,9671) = 1
LCM(9667,9671) = ( 9667 × 9671) / 1
LCM(9667,9671) = 93489557 / 1
LCM(9667,9671) = 93489557
Properties of LCM 9667 and 9671
(i) The LCM of 9671 and 9667 is associative
LCM of 9667 and 9671 = LCM of 9671 and 9667
Related Least Common Multiples of 9667
Related Least Common Multiples of 9671
Frequently Asked Questions on LCM of 9667 and 9671
1. What is the LCM of 9667 and 9671?
Answer: LCM of 9667 and 9671 is 93489557.
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 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.
4. How to Find the LCM of 9667 and 9671?
Answer:
Least Common Multiple of 9667 and 9671 = 93489557
Step 1: Find the prime factorization of 9667
9667 = 7 x 1381
Step 2: Find the prime factorization of 9671
9671 = 19 x 509
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93489557 = 7 x 19 x 509 x 1381
Step 4: Therefore, the least common multiple of 9667 and 9671 is 93489557.