Least Common Multiple of 8127 and 8131
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8127 and 8131 the smallest integer that is 66080637 that is divisible by both numbers.
Least Common Multiple (LCM) of 8127 and 8131 is 66080637.
LCM(8127,8131) = 66080637
LCM of 8127 and 8131
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8127 and 8131 by Prime method
- Least Common Multiple of 8127 and 8131 with GCF Formula
LCM of 8127 and 8131 is 66080637
Least common multiple can be found by multiplying the highest exponent prime factors of 8127 and 8131. First we will calculate the prime factors of 8127 and 8131.
Prime Factorization of 8127
| 3 | 8127 |
| 3 | 2709 |
| 3 | 903 |
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 8127 are 3, 7,43. Prime factorization of 8127 in exponential form is:
8127 = 33×71×431
Prime Factorization of 8131
| 47 | 8131 |
| 173 | 173 |
| 1 |
Prime factors of 8131 are 47,173. Prime factorization of 8131 in exponential form is:
8131 = 471×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 8127 and 8131.
LCM(8127,8131) = 33×71×431×471×1731
LCM(8127,8131) = 66080637
Factors of 8127
List of positive integer factors of 8127 that divides 8127 without a remainder.
1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127
Factors of 8131
List of positive integer factors of 8131 that divides 8131 without a remainder.
1, 47, 173, 8131
Least Common Multiple of 8127 and 8131 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8127 and 8131, than apply into the LCM equation.
GCF(8127,8131) = 1
LCM(8127,8131) = ( 8127 × 8131) / 1
LCM(8127,8131) = 66080637 / 1
LCM(8127,8131) = 66080637
Properties of LCM 8127 and 8131
(i) The LCM of 8131 and 8127 is associative
LCM of 8127 and 8131 = LCM of 8131 and 8127
Related Least Common Multiples of 8127
Related Least Common Multiples of 8131
Frequently Asked Questions on LCM of 8127 and 8131
1. What is the LCM of 8127 and 8131?
Answer: LCM of 8127 and 8131 is 66080637.
2. What are the Factors of 8127?
Answer: Factors of 8127 are 1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127. There are 16 integers that are factors of 8127. The greatest factor of 8127 is 8127.
3. What are the Factors of 8131?
Answer: Factors of 8131 are 1, 47, 173, 8131. There are 4 integers that are factors of 8131. The greatest factor of 8131 is 8131.
4. How to Find the LCM of 8127 and 8131?
Answer:
Least Common Multiple of 8127 and 8131 = 66080637
Step 1: Find the prime factorization of 8127
8127 = 3 x 3 x 3 x 7 x 43
Step 2: Find the prime factorization of 8131
8131 = 47 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66080637 = 3 x 3 x 3 x 7 x 43 x 47 x 173
Step 4: Therefore, the least common multiple of 8127 and 8131 is 66080637.