Least Common Multiple of 31309 and 31313
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31309 and 31313 the smallest integer that is 980378717 that is divisible by both numbers.
Least Common Multiple (LCM) of 31309 and 31313 is 980378717.
LCM(31309,31313) = 980378717
LCM of 31309 and 31313
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31309 and 31313 by Prime method
- Least Common Multiple of 31309 and 31313 with GCF Formula
LCM of 31309 and 31313 is 980378717
Least common multiple can be found by multiplying the highest exponent prime factors of 31309 and 31313. First we will calculate the prime factors of 31309 and 31313.
Prime Factorization of 31309
| 131 | 31309 |
| 239 | 239 |
| 1 |
Prime factors of 31309 are 131,239. Prime factorization of 31309 in exponential form is:
31309 = 1311×2391
Prime Factorization of 31313
| 173 | 31313 |
| 181 | 181 |
| 1 |
Prime factors of 31313 are 173,181. Prime factorization of 31313 in exponential form is:
31313 = 1731×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 31309 and 31313.
LCM(31309,31313) = 1311×1731×1811×2391
LCM(31309,31313) = 980378717
Factors of 31309
List of positive integer factors of 31309 that divides 31309 without a remainder.
1, 131, 239, 31309
Factors of 31313
List of positive integer factors of 31313 that divides 31313 without a remainder.
1, 173, 181, 31313
Least Common Multiple of 31309 and 31313 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31309 and 31313, than apply into the LCM equation.
GCF(31309,31313) = 1
LCM(31309,31313) = ( 31309 × 31313) / 1
LCM(31309,31313) = 980378717 / 1
LCM(31309,31313) = 980378717
Properties of LCM 31309 and 31313
(i) The LCM of 31313 and 31309 is associative
LCM of 31309 and 31313 = LCM of 31313 and 31309
Related Least Common Multiples of 31309
Related Least Common Multiples of 31313
Frequently Asked Questions on LCM of 31309 and 31313
1. What is the LCM of 31309 and 31313?
Answer: LCM of 31309 and 31313 is 980378717.
2. What are the Factors of 31309?
Answer: Factors of 31309 are 1, 131, 239, 31309. There are 4 integers that are factors of 31309. The greatest factor of 31309 is 31309.
3. What are the Factors of 31313?
Answer: Factors of 31313 are 1, 173, 181, 31313. There are 4 integers that are factors of 31313. The greatest factor of 31313 is 31313.
4. How to Find the LCM of 31309 and 31313?
Answer:
Least Common Multiple of 31309 and 31313 = 980378717
Step 1: Find the prime factorization of 31309
31309 = 131 x 239
Step 2: Find the prime factorization of 31313
31313 = 173 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 980378717 = 131 x 173 x 181 x 239
Step 4: Therefore, the least common multiple of 31309 and 31313 is 980378717.