Least Common Multiple of 15322 and 15329
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15322 and 15329 the smallest integer that is 234870938 that is divisible by both numbers.
Least Common Multiple (LCM) of 15322 and 15329 is 234870938.
LCM(15322,15329) = 234870938
LCM of 15322 and 15329
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15322 and 15329 by Prime method
- Least Common Multiple of 15322 and 15329 with GCF Formula
LCM of 15322 and 15329 is 234870938
Least common multiple can be found by multiplying the highest exponent prime factors of 15322 and 15329. First we will calculate the prime factors of 15322 and 15329.
Prime Factorization of 15322
| 2 | 15322 |
| 47 | 7661 |
| 163 | 163 |
| 1 |
Prime factors of 15322 are 2, 47,163. Prime factorization of 15322 in exponential form is:
15322 = 21×471×1631
Prime Factorization of 15329
| 15329 | 15329 |
| 1 |
Prime factors of 15329 are 15329. Prime factorization of 15329 in exponential form is:
15329 = 153291
Now multiplying the highest exponent prime factors to calculate the LCM of 15322 and 15329.
LCM(15322,15329) = 21×471×1631×153291
LCM(15322,15329) = 234870938
Factors of 15322
List of positive integer factors of 15322 that divides 15322 without a remainder.
1, 2, 47, 94, 163, 326, 7661, 15322
Factors of 15329
List of positive integer factors of 15329 that divides 15329 without a remainder.
1, 15329
Least Common Multiple of 15322 and 15329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15322 and 15329, than apply into the LCM equation.
GCF(15322,15329) = 1
LCM(15322,15329) = ( 15322 × 15329) / 1
LCM(15322,15329) = 234870938 / 1
LCM(15322,15329) = 234870938
Properties of LCM 15322 and 15329
(i) The LCM of 15329 and 15322 is associative
LCM of 15322 and 15329 = LCM of 15329 and 15322
Related Least Common Multiples of 15322
Related Least Common Multiples of 15329
Frequently Asked Questions on LCM of 15322 and 15329
1. What is the LCM of 15322 and 15329?
Answer: LCM of 15322 and 15329 is 234870938.
2. What are the Factors of 15322?
Answer: Factors of 15322 are 1, 2, 47, 94, 163, 326, 7661, 15322. There are 8 integers that are factors of 15322. The greatest factor of 15322 is 15322.
3. What are the Factors of 15329?
Answer: Factors of 15329 are 1, 15329. There are 2 integers that are factors of 15329. The greatest factor of 15329 is 15329.
4. How to Find the LCM of 15322 and 15329?
Answer:
Least Common Multiple of 15322 and 15329 = 234870938
Step 1: Find the prime factorization of 15322
15322 = 2 x 47 x 163
Step 2: Find the prime factorization of 15329
15329 = 15329
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 234870938 = 2 x 47 x 163 x 15329
Step 4: Therefore, the least common multiple of 15322 and 15329 is 234870938.