Least Common Multiple of 15283 and 15291
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15283 and 15291 the smallest integer that is 233692353 that is divisible by both numbers.
Least Common Multiple (LCM) of 15283 and 15291 is 233692353.
LCM(15283,15291) = 233692353
LCM of 15283 and 15291
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15283 and 15291 by Prime method
- Least Common Multiple of 15283 and 15291 with GCF Formula
LCM of 15283 and 15291 is 233692353
Least common multiple can be found by multiplying the highest exponent prime factors of 15283 and 15291. First we will calculate the prime factors of 15283 and 15291.
Prime Factorization of 15283
| 17 | 15283 |
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 15283 are 17, 29,31. Prime factorization of 15283 in exponential form is:
15283 = 171×291×311
Prime Factorization of 15291
| 3 | 15291 |
| 3 | 5097 |
| 1699 | 1699 |
| 1 |
Prime factors of 15291 are 3,1699. Prime factorization of 15291 in exponential form is:
15291 = 32×16991
Now multiplying the highest exponent prime factors to calculate the LCM of 15283 and 15291.
LCM(15283,15291) = 32×171×291×311×16991
LCM(15283,15291) = 233692353
Factors of 15283
List of positive integer factors of 15283 that divides 15283 without a remainder.
1, 17, 29, 31, 493, 527, 899, 15283
Factors of 15291
List of positive integer factors of 15291 that divides 15291 without a remainder.
1, 3, 9, 1699, 5097, 15291
Least Common Multiple of 15283 and 15291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15283 and 15291, than apply into the LCM equation.
GCF(15283,15291) = 1
LCM(15283,15291) = ( 15283 × 15291) / 1
LCM(15283,15291) = 233692353 / 1
LCM(15283,15291) = 233692353
Properties of LCM 15283 and 15291
(i) The LCM of 15291 and 15283 is associative
LCM of 15283 and 15291 = LCM of 15291 and 15283
Related Least Common Multiples of 15283
Related Least Common Multiples of 15291
Frequently Asked Questions on LCM of 15283 and 15291
1. What is the LCM of 15283 and 15291?
Answer: LCM of 15283 and 15291 is 233692353.
2. What are the Factors of 15283?
Answer: Factors of 15283 are 1, 17, 29, 31, 493, 527, 899, 15283. There are 8 integers that are factors of 15283. The greatest factor of 15283 is 15283.
3. What are the Factors of 15291?
Answer: Factors of 15291 are 1, 3, 9, 1699, 5097, 15291. There are 6 integers that are factors of 15291. The greatest factor of 15291 is 15291.
4. How to Find the LCM of 15283 and 15291?
Answer:
Least Common Multiple of 15283 and 15291 = 233692353
Step 1: Find the prime factorization of 15283
15283 = 17 x 29 x 31
Step 2: Find the prime factorization of 15291
15291 = 3 x 3 x 1699
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 233692353 = 3 x 3 x 17 x 29 x 31 x 1699
Step 4: Therefore, the least common multiple of 15283 and 15291 is 233692353.