Least Common Multiple of 36127 and 36135
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36127 and 36135 the smallest integer that is 1305449145 that is divisible by both numbers.
Least Common Multiple (LCM) of 36127 and 36135 is 1305449145.
LCM(36127,36135) = 1305449145
LCM of 36127 and 36135
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36127 and 36135 by Prime method
- Least Common Multiple of 36127 and 36135 with GCF Formula
LCM of 36127 and 36135 is 1305449145
Least common multiple can be found by multiplying the highest exponent prime factors of 36127 and 36135. First we will calculate the prime factors of 36127 and 36135.
Prime Factorization of 36127
| 7 | 36127 |
| 13 | 5161 |
| 397 | 397 |
| 1 |
Prime factors of 36127 are 7, 13,397. Prime factorization of 36127 in exponential form is:
36127 = 71×131×3971
Prime Factorization of 36135
| 3 | 36135 |
| 3 | 12045 |
| 5 | 4015 |
| 11 | 803 |
| 73 | 73 |
| 1 |
Prime factors of 36135 are 3, 5, 11,73. Prime factorization of 36135 in exponential form is:
36135 = 32×51×111×731
Now multiplying the highest exponent prime factors to calculate the LCM of 36127 and 36135.
LCM(36127,36135) = 32×51×71×111×131×731×3971
LCM(36127,36135) = 1305449145
Factors of 36127
List of positive integer factors of 36127 that divides 36127 without a remainder.
1, 7, 13, 91, 397, 2779, 5161, 36127
Factors of 36135
List of positive integer factors of 36135 that divides 36135 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 73, 99, 165, 219, 365, 495, 657, 803, 1095, 2409, 3285, 4015, 7227, 12045, 36135
Least Common Multiple of 36127 and 36135 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36127 and 36135, than apply into the LCM equation.
GCF(36127,36135) = 1
LCM(36127,36135) = ( 36127 × 36135) / 1
LCM(36127,36135) = 1305449145 / 1
LCM(36127,36135) = 1305449145
Properties of LCM 36127 and 36135
(i) The LCM of 36135 and 36127 is associative
LCM of 36127 and 36135 = LCM of 36135 and 36127
Related Least Common Multiples of 36127
Related Least Common Multiples of 36135
Frequently Asked Questions on LCM of 36127 and 36135
1. What is the LCM of 36127 and 36135?
Answer: LCM of 36127 and 36135 is 1305449145.
2. What are the Factors of 36127?
Answer: Factors of 36127 are 1, 7, 13, 91, 397, 2779, 5161, 36127. There are 8 integers that are factors of 36127. The greatest factor of 36127 is 36127.
3. What are the Factors of 36135?
Answer: Factors of 36135 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 73, 99, 165, 219, 365, 495, 657, 803, 1095, 2409, 3285, 4015, 7227, 12045, 36135. There are 24 integers that are factors of 36135. The greatest factor of 36135 is 36135.
4. How to Find the LCM of 36127 and 36135?
Answer:
Least Common Multiple of 36127 and 36135 = 1305449145
Step 1: Find the prime factorization of 36127
36127 = 7 x 13 x 397
Step 2: Find the prime factorization of 36135
36135 = 3 x 3 x 5 x 11 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1305449145 = 3 x 3 x 5 x 7 x 11 x 13 x 73 x 397
Step 4: Therefore, the least common multiple of 36127 and 36135 is 1305449145.