Least Common Multiple of 31301 and 31309
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31301 and 31309 the smallest integer that is 980003009 that is divisible by both numbers.
Least Common Multiple (LCM) of 31301 and 31309 is 980003009.
LCM(31301,31309) = 980003009
LCM of 31301 and 31309
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31301 and 31309 by Prime method
- Least Common Multiple of 31301 and 31309 with GCF Formula
LCM of 31301 and 31309 is 980003009
Least common multiple can be found by multiplying the highest exponent prime factors of 31301 and 31309. First we will calculate the prime factors of 31301 and 31309.
Prime Factorization of 31301
| 113 | 31301 |
| 277 | 277 |
| 1 |
Prime factors of 31301 are 113,277. Prime factorization of 31301 in exponential form is:
31301 = 1131×2771
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
Now multiplying the highest exponent prime factors to calculate the LCM of 31301 and 31309.
LCM(31301,31309) = 1131×1311×2391×2771
LCM(31301,31309) = 980003009
Factors of 31301
List of positive integer factors of 31301 that divides 31301 without a remainder.
1, 113, 277, 31301
Factors of 31309
List of positive integer factors of 31309 that divides 31309 without a remainder.
1, 131, 239, 31309
Least Common Multiple of 31301 and 31309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31301 and 31309, than apply into the LCM equation.
GCF(31301,31309) = 1
LCM(31301,31309) = ( 31301 × 31309) / 1
LCM(31301,31309) = 980003009 / 1
LCM(31301,31309) = 980003009
Properties of LCM 31301 and 31309
(i) The LCM of 31309 and 31301 is associative
LCM of 31301 and 31309 = LCM of 31309 and 31301
Related Least Common Multiples of 31301
Related Least Common Multiples of 31309
Frequently Asked Questions on LCM of 31301 and 31309
1. What is the LCM of 31301 and 31309?
Answer: LCM of 31301 and 31309 is 980003009.
2. What are the Factors of 31301?
Answer: Factors of 31301 are 1, 113, 277, 31301. There are 4 integers that are factors of 31301. The greatest factor of 31301 is 31301.
3. 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.
4. How to Find the LCM of 31301 and 31309?
Answer:
Least Common Multiple of 31301 and 31309 = 980003009
Step 1: Find the prime factorization of 31301
31301 = 113 x 277
Step 2: Find the prime factorization of 31309
31309 = 131 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 980003009 = 113 x 131 x 239 x 277
Step 4: Therefore, the least common multiple of 31301 and 31309 is 980003009.