Least Common Multiple of 14309 and 14317
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 14317 the smallest integer that is 204861953 that is divisible by both numbers.
Least Common Multiple (LCM) of 14309 and 14317 is 204861953.
LCM(14309,14317) = 204861953
LCM of 14309 and 14317
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 14309 and 14317 by Prime method
- Least Common Multiple of 14309 and 14317 with GCF Formula
LCM of 14309 and 14317 is 204861953
Least common multiple can be found by multiplying the highest exponent prime factors of 14309 and 14317. First we will calculate the prime factors of 14309 and 14317.
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 14317
| 103 | 14317 |
| 139 | 139 |
| 1 |
Prime factors of 14317 are 103,139. Prime factorization of 14317 in exponential form is:
14317 = 1031×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 14309 and 14317.
LCM(14309,14317) = 411×1031×1391×3491
LCM(14309,14317) = 204861953
Factors of 14309
List of positive integer factors of 14309 that divides 14309 without a remainder.
1, 41, 349, 14309
Factors of 14317
List of positive integer factors of 14317 that divides 14317 without a remainder.
1, 103, 139, 14317
Least Common Multiple of 14309 and 14317 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 14317, than apply into the LCM equation.
GCF(14309,14317) = 1
LCM(14309,14317) = ( 14309 × 14317) / 1
LCM(14309,14317) = 204861953 / 1
LCM(14309,14317) = 204861953
Properties of LCM 14309 and 14317
(i) The LCM of 14317 and 14309 is associative
LCM of 14309 and 14317 = LCM of 14317 and 14309
Related Least Common Multiples of 14309
Related Least Common Multiples of 14317
Frequently Asked Questions on LCM of 14309 and 14317
1. What is the LCM of 14309 and 14317?
Answer: LCM of 14309 and 14317 is 204861953.
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 14317?
Answer: Factors of 14317 are 1, 103, 139, 14317. There are 4 integers that are factors of 14317. The greatest factor of 14317 is 14317.
4. How to Find the LCM of 14309 and 14317?
Answer:
Least Common Multiple of 14309 and 14317 = 204861953
Step 1: Find the prime factorization of 14309
14309 = 41 x 349
Step 2: Find the prime factorization of 14317
14317 = 103 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 204861953 = 41 x 103 x 139 x 349
Step 4: Therefore, the least common multiple of 14309 and 14317 is 204861953.