Least Common Multiple of 14309 and 14315
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 14309 and 14315 the smallest integer that is 204833335 that is divisible by both numbers.
Least Common Multiple (LCM) of 14309 and 14315 is 204833335.
LCM(14309,14315) = 204833335
LCM of 14309 and 14315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 14309 and 14315 by Prime method
- Least Common Multiple of 14309 and 14315 with GCF Formula
LCM of 14309 and 14315 is 204833335
Least common multiple can be found by multiplying the highest exponent prime factors of 14309 and 14315. First we will calculate the prime factors of 14309 and 14315.
Prime Factorization of 14309
| 41 | 14309 |
| 349 | 349 |
| 1 |
Prime factors of 14309 are 41,349. Prime factorization of 14309 in exponential form is:
14309 = 411×3491
Prime Factorization of 14315
| 5 | 14315 |
| 7 | 2863 |
| 409 | 409 |
| 1 |
Prime factors of 14315 are 5, 7,409. Prime factorization of 14315 in exponential form is:
14315 = 51×71×4091
Now multiplying the highest exponent prime factors to calculate the LCM of 14309 and 14315.
LCM(14309,14315) = 51×71×411×3491×4091
LCM(14309,14315) = 204833335
Factors of 14309
List of positive integer factors of 14309 that divides 14309 without a remainder.
1, 41, 349, 14309
Factors of 14315
List of positive integer factors of 14315 that divides 14315 without a remainder.
1, 5, 7, 35, 409, 2045, 2863, 14315
Least Common Multiple of 14309 and 14315 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14309 and 14315, than apply into the LCM equation.
GCF(14309,14315) = 1
LCM(14309,14315) = ( 14309 × 14315) / 1
LCM(14309,14315) = 204833335 / 1
LCM(14309,14315) = 204833335
Properties of LCM 14309 and 14315
(i) The LCM of 14315 and 14309 is associative
LCM of 14309 and 14315 = LCM of 14315 and 14309
Related Least Common Multiples of 14309
Related Least Common Multiples of 14315
Frequently Asked Questions on LCM of 14309 and 14315
1. What is the LCM of 14309 and 14315?
Answer: LCM of 14309 and 14315 is 204833335.
2. What are the Factors of 14309?
Answer: Factors of 14309 are 1, 41, 349, 14309. There are 4 integers that are factors of 14309. The greatest factor of 14309 is 14309.
3. What are the Factors of 14315?
Answer: Factors of 14315 are 1, 5, 7, 35, 409, 2045, 2863, 14315. There are 8 integers that are factors of 14315. The greatest factor of 14315 is 14315.
4. How to Find the LCM of 14309 and 14315?
Answer:
Least Common Multiple of 14309 and 14315 = 204833335
Step 1: Find the prime factorization of 14309
14309 = 41 x 349
Step 2: Find the prime factorization of 14315
14315 = 5 x 7 x 409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 204833335 = 5 x 7 x 41 x 349 x 409
Step 4: Therefore, the least common multiple of 14309 and 14315 is 204833335.