Least Common Multiple of 31309 and 31315
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 31315 the smallest integer that is 980441335 that is divisible by both numbers.
Least Common Multiple (LCM) of 31309 and 31315 is 980441335.
LCM(31309,31315) = 980441335
LCM of 31309 and 31315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31309 and 31315 by Prime method
- Least Common Multiple of 31309 and 31315 with GCF Formula
LCM of 31309 and 31315 is 980441335
Least common multiple can be found by multiplying the highest exponent prime factors of 31309 and 31315. First we will calculate the prime factors of 31309 and 31315.
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 31315
| 5 | 31315 |
| 6263 | 6263 |
| 1 |
Prime factors of 31315 are 5,6263. Prime factorization of 31315 in exponential form is:
31315 = 51×62631
Now multiplying the highest exponent prime factors to calculate the LCM of 31309 and 31315.
LCM(31309,31315) = 51×1311×2391×62631
LCM(31309,31315) = 980441335
Factors of 31309
List of positive integer factors of 31309 that divides 31309 without a remainder.
1, 131, 239, 31309
Factors of 31315
List of positive integer factors of 31315 that divides 31315 without a remainder.
1, 5, 6263, 31315
Least Common Multiple of 31309 and 31315 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 31315, than apply into the LCM equation.
GCF(31309,31315) = 1
LCM(31309,31315) = ( 31309 × 31315) / 1
LCM(31309,31315) = 980441335 / 1
LCM(31309,31315) = 980441335
Properties of LCM 31309 and 31315
(i) The LCM of 31315 and 31309 is associative
LCM of 31309 and 31315 = LCM of 31315 and 31309
Related Least Common Multiples of 31309
Related Least Common Multiples of 31315
Frequently Asked Questions on LCM of 31309 and 31315
1. What is the LCM of 31309 and 31315?
Answer: LCM of 31309 and 31315 is 980441335.
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 31315?
Answer: Factors of 31315 are 1, 5, 6263, 31315. There are 4 integers that are factors of 31315. The greatest factor of 31315 is 31315.
4. How to Find the LCM of 31309 and 31315?
Answer:
Least Common Multiple of 31309 and 31315 = 980441335
Step 1: Find the prime factorization of 31309
31309 = 131 x 239
Step 2: Find the prime factorization of 31315
31315 = 5 x 6263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 980441335 = 5 x 131 x 239 x 6263
Step 4: Therefore, the least common multiple of 31309 and 31315 is 980441335.