Least Common Multiple of 15317 and 15322
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15317 and 15322 the smallest integer that is 234687074 that is divisible by both numbers.
Least Common Multiple (LCM) of 15317 and 15322 is 234687074.
LCM(15317,15322) = 234687074
LCM of 15317 and 15322
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15317 and 15322 by Prime method
- Least Common Multiple of 15317 and 15322 with GCF Formula
LCM of 15317 and 15322 is 234687074
Least common multiple can be found by multiplying the highest exponent prime factors of 15317 and 15322. First we will calculate the prime factors of 15317 and 15322.
Prime Factorization of 15317
| 17 | 15317 |
| 17 | 901 |
| 53 | 53 |
| 1 |
Prime factors of 15317 are 17,53. Prime factorization of 15317 in exponential form is:
15317 = 172×531
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
Now multiplying the highest exponent prime factors to calculate the LCM of 15317 and 15322.
LCM(15317,15322) = 21×172×471×531×1631
LCM(15317,15322) = 234687074
Factors of 15317
List of positive integer factors of 15317 that divides 15317 without a remainder.
1, 17, 53, 289, 901, 15317
Factors of 15322
List of positive integer factors of 15322 that divides 15322 without a remainder.
1, 2, 47, 94, 163, 326, 7661, 15322
Least Common Multiple of 15317 and 15322 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15317 and 15322, than apply into the LCM equation.
GCF(15317,15322) = 1
LCM(15317,15322) = ( 15317 × 15322) / 1
LCM(15317,15322) = 234687074 / 1
LCM(15317,15322) = 234687074
Properties of LCM 15317 and 15322
(i) The LCM of 15322 and 15317 is associative
LCM of 15317 and 15322 = LCM of 15322 and 15317
Related Least Common Multiples of 15317
Related Least Common Multiples of 15322
Frequently Asked Questions on LCM of 15317 and 15322
1. What is the LCM of 15317 and 15322?
Answer: LCM of 15317 and 15322 is 234687074.
2. What are the Factors of 15317?
Answer: Factors of 15317 are 1, 17, 53, 289, 901, 15317. There are 6 integers that are factors of 15317. The greatest factor of 15317 is 15317.
3. 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.
4. How to Find the LCM of 15317 and 15322?
Answer:
Least Common Multiple of 15317 and 15322 = 234687074
Step 1: Find the prime factorization of 15317
15317 = 17 x 17 x 53
Step 2: Find the prime factorization of 15322
15322 = 2 x 47 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 234687074 = 2 x 17 x 17 x 47 x 53 x 163
Step 4: Therefore, the least common multiple of 15317 and 15322 is 234687074.