Least Common Multiple of 15337 and 15345
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15337 and 15345 the smallest integer that is 235346265 that is divisible by both numbers.
Least Common Multiple (LCM) of 15337 and 15345 is 235346265.
LCM(15337,15345) = 235346265
LCM of 15337 and 15345
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15337 and 15345 by Prime method
- Least Common Multiple of 15337 and 15345 with GCF Formula
LCM of 15337 and 15345 is 235346265
Least common multiple can be found by multiplying the highest exponent prime factors of 15337 and 15345. First we will calculate the prime factors of 15337 and 15345.
Prime Factorization of 15337
| 7 | 15337 |
| 7 | 2191 |
| 313 | 313 |
| 1 |
Prime factors of 15337 are 7,313. Prime factorization of 15337 in exponential form is:
15337 = 72×3131
Prime Factorization of 15345
| 3 | 15345 |
| 3 | 5115 |
| 5 | 1705 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 15345 are 3, 5, 11,31. Prime factorization of 15345 in exponential form is:
15345 = 32×51×111×311
Now multiplying the highest exponent prime factors to calculate the LCM of 15337 and 15345.
LCM(15337,15345) = 32×51×72×111×311×3131
LCM(15337,15345) = 235346265
Factors of 15337
List of positive integer factors of 15337 that divides 15337 without a remainder.
1, 7, 49, 313, 2191, 15337
Factors of 15345
List of positive integer factors of 15345 that divides 15345 without a remainder.
1, 3, 5, 9, 11, 15, 31, 33, 45, 55, 93, 99, 155, 165, 279, 341, 465, 495, 1023, 1395, 1705, 3069, 5115, 15345
Least Common Multiple of 15337 and 15345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15337 and 15345, than apply into the LCM equation.
GCF(15337,15345) = 1
LCM(15337,15345) = ( 15337 × 15345) / 1
LCM(15337,15345) = 235346265 / 1
LCM(15337,15345) = 235346265
Properties of LCM 15337 and 15345
(i) The LCM of 15345 and 15337 is associative
LCM of 15337 and 15345 = LCM of 15345 and 15337
Related Least Common Multiples of 15337
Related Least Common Multiples of 15345
Frequently Asked Questions on LCM of 15337 and 15345
1. What is the LCM of 15337 and 15345?
Answer: LCM of 15337 and 15345 is 235346265.
2. What are the Factors of 15337?
Answer: Factors of 15337 are 1, 7, 49, 313, 2191, 15337. There are 6 integers that are factors of 15337. The greatest factor of 15337 is 15337.
3. What are the Factors of 15345?
Answer: Factors of 15345 are 1, 3, 5, 9, 11, 15, 31, 33, 45, 55, 93, 99, 155, 165, 279, 341, 465, 495, 1023, 1395, 1705, 3069, 5115, 15345. There are 24 integers that are factors of 15345. The greatest factor of 15345 is 15345.
4. How to Find the LCM of 15337 and 15345?
Answer:
Least Common Multiple of 15337 and 15345 = 235346265
Step 1: Find the prime factorization of 15337
15337 = 7 x 7 x 313
Step 2: Find the prime factorization of 15345
15345 = 3 x 3 x 5 x 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 235346265 = 3 x 3 x 5 x 7 x 7 x 11 x 31 x 313
Step 4: Therefore, the least common multiple of 15337 and 15345 is 235346265.