Least Common Multiple of 8127 and 8135
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 8135 the smallest integer that is 66113145 that is divisible by both numbers.
Least Common Multiple (LCM) of 8127 and 8135 is 66113145.
LCM(8127,8135) = 66113145
LCM of 8127 and 8135
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8127 and 8135 by Prime method
- Least Common Multiple of 8127 and 8135 with GCF Formula
LCM of 8127 and 8135 is 66113145
Least common multiple can be found by multiplying the highest exponent prime factors of 8127 and 8135. First we will calculate the prime factors of 8127 and 8135.
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 8135
| 5 | 8135 |
| 1627 | 1627 |
| 1 |
Prime factors of 8135 are 5,1627. Prime factorization of 8135 in exponential form is:
8135 = 51×16271
Now multiplying the highest exponent prime factors to calculate the LCM of 8127 and 8135.
LCM(8127,8135) = 33×51×71×431×16271
LCM(8127,8135) = 66113145
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 8135
List of positive integer factors of 8135 that divides 8135 without a remainder.
1, 5, 1627, 8135
Least Common Multiple of 8127 and 8135 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 8135, than apply into the LCM equation.
GCF(8127,8135) = 1
LCM(8127,8135) = ( 8127 × 8135) / 1
LCM(8127,8135) = 66113145 / 1
LCM(8127,8135) = 66113145
Properties of LCM 8127 and 8135
(i) The LCM of 8135 and 8127 is associative
LCM of 8127 and 8135 = LCM of 8135 and 8127
Related Least Common Multiples of 8127
Related Least Common Multiples of 8135
Frequently Asked Questions on LCM of 8127 and 8135
1. What is the LCM of 8127 and 8135?
Answer: LCM of 8127 and 8135 is 66113145.
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 8135?
Answer: Factors of 8135 are 1, 5, 1627, 8135. There are 4 integers that are factors of 8135. The greatest factor of 8135 is 8135.
4. How to Find the LCM of 8127 and 8135?
Answer:
Least Common Multiple of 8127 and 8135 = 66113145
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 8135
8135 = 5 x 1627
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66113145 = 3 x 3 x 3 x 5 x 7 x 43 x 1627
Step 4: Therefore, the least common multiple of 8127 and 8135 is 66113145.