Least Common Multiple of 14315 and 14322
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 14315 and 14322 the smallest integer that is 29288490 that is divisible by both numbers.
Least Common Multiple (LCM) of 14315 and 14322 is 29288490.
LCM(14315,14322) = 29288490
LCM of 14315 and 14322
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 14315 and 14322 by Prime method
- Least Common Multiple of 14315 and 14322 with GCF Formula
LCM of 14315 and 14322 is 29288490
Least common multiple can be found by multiplying the highest exponent prime factors of 14315 and 14322. First we will calculate the prime factors of 14315 and 14322.
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
Prime Factorization of 14322
| 2 | 14322 |
| 3 | 7161 |
| 7 | 2387 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 14322 are 2, 3, 7, 11,31. Prime factorization of 14322 in exponential form is:
14322 = 21×31×71×111×311
Now multiplying the highest exponent prime factors to calculate the LCM of 14315 and 14322.
LCM(14315,14322) = 21×31×51×71×111×311×4091
LCM(14315,14322) = 29288490
Factors of 14315
List of positive integer factors of 14315 that divides 14315 without a remainder.
1, 5, 7, 35, 409, 2045, 2863, 14315
Factors of 14322
List of positive integer factors of 14322 that divides 14322 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 31, 33, 42, 62, 66, 77, 93, 154, 186, 217, 231, 341, 434, 462, 651, 682, 1023, 1302, 2046, 2387, 4774, 7161, 14322
Least Common Multiple of 14315 and 14322 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14315 and 14322, than apply into the LCM equation.
GCF(14315,14322) = 7
LCM(14315,14322) = ( 14315 × 14322) / 7
LCM(14315,14322) = 205019430 / 7
LCM(14315,14322) = 29288490
Properties of LCM 14315 and 14322
(i) The LCM of 14322 and 14315 is associative
LCM of 14315 and 14322 = LCM of 14322 and 14315
Related Least Common Multiples of 14315
Related Least Common Multiples of 14322
Frequently Asked Questions on LCM of 14315 and 14322
1. What is the LCM of 14315 and 14322?
Answer: LCM of 14315 and 14322 is 29288490.
2. 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.
3. What are the Factors of 14322?
Answer: Factors of 14322 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 31, 33, 42, 62, 66, 77, 93, 154, 186, 217, 231, 341, 434, 462, 651, 682, 1023, 1302, 2046, 2387, 4774, 7161, 14322. There are 32 integers that are factors of 14322. The greatest factor of 14322 is 14322.
4. How to Find the LCM of 14315 and 14322?
Answer:
Least Common Multiple of 14315 and 14322 = 29288490
Step 1: Find the prime factorization of 14315
14315 = 5 x 7 x 409
Step 2: Find the prime factorization of 14322
14322 = 2 x 3 x 7 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 = 29288490 = 2 x 3 x 5 x 7 x 11 x 31 x 409
Step 4: Therefore, the least common multiple of 14315 and 14322 is 29288490.