Least Common Multiple of 1313 and 1317
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1313 and 1317 the smallest integer that is 1729221 that is divisible by both numbers.
Least Common Multiple (LCM) of 1313 and 1317 is 1729221.
LCM(1313,1317) = 1729221
LCM of 1313 and 1317
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1313 and 1317 by Prime method
- Least Common Multiple of 1313 and 1317 with GCF Formula
LCM of 1313 and 1317 is 1729221
Least common multiple can be found by multiplying the highest exponent prime factors of 1313 and 1317. First we will calculate the prime factors of 1313 and 1317.
Prime Factorization of 1313
| 13 | 1313 |
| 101 | 101 |
| 1 |
Prime factors of 1313 are 13,101. Prime factorization of 1313 in exponential form is:
1313 = 131×1011
Prime Factorization of 1317
| 3 | 1317 |
| 439 | 439 |
| 1 |
Prime factors of 1317 are 3,439. Prime factorization of 1317 in exponential form is:
1317 = 31×4391
Now multiplying the highest exponent prime factors to calculate the LCM of 1313 and 1317.
LCM(1313,1317) = 31×131×1011×4391
LCM(1313,1317) = 1729221
Factors of 1313
List of positive integer factors of 1313 that divides 1313 without a remainder.
1, 13, 101, 1313
Factors of 1317
List of positive integer factors of 1317 that divides 1317 without a remainder.
1, 3, 439, 1317
Least Common Multiple of 1313 and 1317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1313 and 1317, than apply into the LCM equation.
GCF(1313,1317) = 1
LCM(1313,1317) = ( 1313 × 1317) / 1
LCM(1313,1317) = 1729221 / 1
LCM(1313,1317) = 1729221
Properties of LCM 1313 and 1317
(i) The LCM of 1317 and 1313 is associative
LCM of 1313 and 1317 = LCM of 1317 and 1313
Related Least Common Multiples of 1313
Related Least Common Multiples of 1317
Frequently Asked Questions on LCM of 1313 and 1317
1. What is the LCM of 1313 and 1317?
Answer: LCM of 1313 and 1317 is 1729221.
2. What are the Factors of 1313?
Answer: Factors of 1313 are 1, 13, 101, 1313. There are 4 integers that are factors of 1313. The greatest factor of 1313 is 1313.
3. What are the Factors of 1317?
Answer: Factors of 1317 are 1, 3, 439, 1317. There are 4 integers that are factors of 1317. The greatest factor of 1317 is 1317.
4. How to Find the LCM of 1313 and 1317?
Answer:
Least Common Multiple of 1313 and 1317 = 1729221
Step 1: Find the prime factorization of 1313
1313 = 13 x 101
Step 2: Find the prime factorization of 1317
1317 = 3 x 439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1729221 = 3 x 13 x 101 x 439
Step 4: Therefore, the least common multiple of 1313 and 1317 is 1729221.