Least Common Multiple of 15331 and 15337
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15331 and 15337 the smallest integer that is 235131547 that is divisible by both numbers.
Least Common Multiple (LCM) of 15331 and 15337 is 235131547.
LCM(15331,15337) = 235131547
LCM of 15331 and 15337
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15331 and 15337 by Prime method
- Least Common Multiple of 15331 and 15337 with GCF Formula
LCM of 15331 and 15337 is 235131547
Least common multiple can be found by multiplying the highest exponent prime factors of 15331 and 15337. First we will calculate the prime factors of 15331 and 15337.
Prime Factorization of 15331
| 15331 | 15331 |
| 1 |
Prime factors of 15331 are 15331. Prime factorization of 15331 in exponential form is:
15331 = 153311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 15331 and 15337.
LCM(15331,15337) = 72×3131×153311
LCM(15331,15337) = 235131547
Factors of 15331
List of positive integer factors of 15331 that divides 15331 without a remainder.
1, 15331
Factors of 15337
List of positive integer factors of 15337 that divides 15337 without a remainder.
1, 7, 49, 313, 2191, 15337
Least Common Multiple of 15331 and 15337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15331 and 15337, than apply into the LCM equation.
GCF(15331,15337) = 1
LCM(15331,15337) = ( 15331 × 15337) / 1
LCM(15331,15337) = 235131547 / 1
LCM(15331,15337) = 235131547
Properties of LCM 15331 and 15337
(i) The LCM of 15337 and 15331 is associative
LCM of 15331 and 15337 = LCM of 15337 and 15331
Related Least Common Multiples of 15331
Related Least Common Multiples of 15337
Frequently Asked Questions on LCM of 15331 and 15337
1. What is the LCM of 15331 and 15337?
Answer: LCM of 15331 and 15337 is 235131547.
2. What are the Factors of 15331?
Answer: Factors of 15331 are 1, 15331. There are 2 integers that are factors of 15331. The greatest factor of 15331 is 15331.
3. 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.
4. How to Find the LCM of 15331 and 15337?
Answer:
Least Common Multiple of 15331 and 15337 = 235131547
Step 1: Find the prime factorization of 15331
15331 = 15331
Step 2: Find the prime factorization of 15337
15337 = 7 x 7 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 235131547 = 7 x 7 x 313 x 15331
Step 4: Therefore, the least common multiple of 15331 and 15337 is 235131547.