Least Common Multiple of 20393 and 20397
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 20393 and 20397 the smallest integer that is 415956021 that is divisible by both numbers.
Least Common Multiple (LCM) of 20393 and 20397 is 415956021.
LCM(20393,20397) = 415956021
LCM of 20393 and 20397
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 20393 and 20397 by Prime method
- Least Common Multiple of 20393 and 20397 with GCF Formula
LCM of 20393 and 20397 is 415956021
Least common multiple can be found by multiplying the highest exponent prime factors of 20393 and 20397. First we will calculate the prime factors of 20393 and 20397.
Prime Factorization of 20393
| 20393 | 20393 |
| 1 |
Prime factors of 20393 are 20393. Prime factorization of 20393 in exponential form is:
20393 = 203931
Prime Factorization of 20397
| 3 | 20397 |
| 13 | 6799 |
| 523 | 523 |
| 1 |
Prime factors of 20397 are 3, 13,523. Prime factorization of 20397 in exponential form is:
20397 = 31×131×5231
Now multiplying the highest exponent prime factors to calculate the LCM of 20393 and 20397.
LCM(20393,20397) = 31×131×5231×203931
LCM(20393,20397) = 415956021
Factors of 20393
List of positive integer factors of 20393 that divides 20393 without a remainder.
1, 20393
Factors of 20397
List of positive integer factors of 20397 that divides 20397 without a remainder.
1, 3, 13, 39, 523, 1569, 6799, 20397
Least Common Multiple of 20393 and 20397 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20393 and 20397, than apply into the LCM equation.
GCF(20393,20397) = 1
LCM(20393,20397) = ( 20393 × 20397) / 1
LCM(20393,20397) = 415956021 / 1
LCM(20393,20397) = 415956021
Properties of LCM 20393 and 20397
(i) The LCM of 20397 and 20393 is associative
LCM of 20393 and 20397 = LCM of 20397 and 20393
Related Least Common Multiples of 20393
Related Least Common Multiples of 20397
Frequently Asked Questions on LCM of 20393 and 20397
1. What is the LCM of 20393 and 20397?
Answer: LCM of 20393 and 20397 is 415956021.
2. What are the Factors of 20393?
Answer: Factors of 20393 are 1, 20393. There are 2 integers that are factors of 20393. The greatest factor of 20393 is 20393.
3. What are the Factors of 20397?
Answer: Factors of 20397 are 1, 3, 13, 39, 523, 1569, 6799, 20397. There are 8 integers that are factors of 20397. The greatest factor of 20397 is 20397.
4. How to Find the LCM of 20393 and 20397?
Answer:
Least Common Multiple of 20393 and 20397 = 415956021
Step 1: Find the prime factorization of 20393
20393 = 20393
Step 2: Find the prime factorization of 20397
20397 = 3 x 13 x 523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 415956021 = 3 x 13 x 523 x 20393
Step 4: Therefore, the least common multiple of 20393 and 20397 is 415956021.