Least Common Multiple of 15322 and 15326
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 15326 the smallest integer that is 117412486 that is divisible by both numbers.
Least Common Multiple (LCM) of 15322 and 15326 is 117412486.
LCM(15322,15326) = 117412486
LCM of 15322 and 15326
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15322 and 15326 by Prime method
- Least Common Multiple of 15322 and 15326 with GCF Formula
LCM of 15322 and 15326 is 117412486
Least common multiple can be found by multiplying the highest exponent prime factors of 15322 and 15326. First we will calculate the prime factors of 15322 and 15326.
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 15326
| 2 | 15326 |
| 79 | 7663 |
| 97 | 97 |
| 1 |
Prime factors of 15326 are 2, 79,97. Prime factorization of 15326 in exponential form is:
15326 = 21×791×971
Now multiplying the highest exponent prime factors to calculate the LCM of 15322 and 15326.
LCM(15322,15326) = 21×471×791×971×1631
LCM(15322,15326) = 117412486
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 15326
List of positive integer factors of 15326 that divides 15326 without a remainder.
1, 2, 79, 97, 158, 194, 7663, 15326
Least Common Multiple of 15322 and 15326 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 15326, than apply into the LCM equation.
GCF(15322,15326) = 2
LCM(15322,15326) = ( 15322 × 15326) / 2
LCM(15322,15326) = 234824972 / 2
LCM(15322,15326) = 117412486
Properties of LCM 15322 and 15326
(i) The LCM of 15326 and 15322 is associative
LCM of 15322 and 15326 = LCM of 15326 and 15322
Related Least Common Multiples of 15322
Related Least Common Multiples of 15326
Frequently Asked Questions on LCM of 15322 and 15326
1. What is the LCM of 15322 and 15326?
Answer: LCM of 15322 and 15326 is 117412486.
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 15326?
Answer: Factors of 15326 are 1, 2, 79, 97, 158, 194, 7663, 15326. There are 8 integers that are factors of 15326. The greatest factor of 15326 is 15326.
4. How to Find the LCM of 15322 and 15326?
Answer:
Least Common Multiple of 15322 and 15326 = 117412486
Step 1: Find the prime factorization of 15322
15322 = 2 x 47 x 163
Step 2: Find the prime factorization of 15326
15326 = 2 x 79 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 117412486 = 2 x 47 x 79 x 97 x 163
Step 4: Therefore, the least common multiple of 15322 and 15326 is 117412486.