Least Common Multiple of 8127 and 8134
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 8134 the smallest integer that is 9443574 that is divisible by both numbers.
Least Common Multiple (LCM) of 8127 and 8134 is 9443574.
LCM(8127,8134) = 9443574
LCM of 8127 and 8134
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8127 and 8134 by Prime method
- Least Common Multiple of 8127 and 8134 with GCF Formula
LCM of 8127 and 8134 is 9443574
Least common multiple can be found by multiplying the highest exponent prime factors of 8127 and 8134. First we will calculate the prime factors of 8127 and 8134.
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 8134
| 2 | 8134 |
| 7 | 4067 |
| 7 | 581 |
| 83 | 83 |
| 1 |
Prime factors of 8134 are 2, 7,83. Prime factorization of 8134 in exponential form is:
8134 = 21×72×831
Now multiplying the highest exponent prime factors to calculate the LCM of 8127 and 8134.
LCM(8127,8134) = 21×33×72×431×831
LCM(8127,8134) = 9443574
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 8134
List of positive integer factors of 8134 that divides 8134 without a remainder.
1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134
Least Common Multiple of 8127 and 8134 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 8134, than apply into the LCM equation.
GCF(8127,8134) = 7
LCM(8127,8134) = ( 8127 × 8134) / 7
LCM(8127,8134) = 66105018 / 7
LCM(8127,8134) = 9443574
Properties of LCM 8127 and 8134
(i) The LCM of 8134 and 8127 is associative
LCM of 8127 and 8134 = LCM of 8134 and 8127
Related Least Common Multiples of 8127
Related Least Common Multiples of 8134
Frequently Asked Questions on LCM of 8127 and 8134
1. What is the LCM of 8127 and 8134?
Answer: LCM of 8127 and 8134 is 9443574.
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 8134?
Answer: Factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134. There are 12 integers that are factors of 8134. The greatest factor of 8134 is 8134.
4. How to Find the LCM of 8127 and 8134?
Answer:
Least Common Multiple of 8127 and 8134 = 9443574
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 8134
8134 = 2 x 7 x 7 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9443574 = 2 x 3 x 3 x 3 x 7 x 7 x 43 x 83
Step 4: Therefore, the least common multiple of 8127 and 8134 is 9443574.