Least Common Multiple of 31306 and 31311
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31306 and 31311 the smallest integer that is 980222166 that is divisible by both numbers.
Least Common Multiple (LCM) of 31306 and 31311 is 980222166.
LCM(31306,31311) = 980222166
LCM of 31306 and 31311
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31306 and 31311 by Prime method
- Least Common Multiple of 31306 and 31311 with GCF Formula
LCM of 31306 and 31311 is 980222166
Least common multiple can be found by multiplying the highest exponent prime factors of 31306 and 31311. First we will calculate the prime factors of 31306 and 31311.
Prime Factorization of 31306
| 2 | 31306 |
| 11 | 15653 |
| 1423 | 1423 |
| 1 |
Prime factors of 31306 are 2, 11,1423. Prime factorization of 31306 in exponential form is:
31306 = 21×111×14231
Prime Factorization of 31311
| 3 | 31311 |
| 3 | 10437 |
| 7 | 3479 |
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 31311 are 3, 7,71. Prime factorization of 31311 in exponential form is:
31311 = 32×72×711
Now multiplying the highest exponent prime factors to calculate the LCM of 31306 and 31311.
LCM(31306,31311) = 21×32×72×111×711×14231
LCM(31306,31311) = 980222166
Factors of 31306
List of positive integer factors of 31306 that divides 31306 without a remainder.
1, 2, 11, 22, 1423, 2846, 15653, 31306
Factors of 31311
List of positive integer factors of 31311 that divides 31311 without a remainder.
1, 3, 7, 9, 21, 49, 63, 71, 147, 213, 441, 497, 639, 1491, 3479, 4473, 10437, 31311
Least Common Multiple of 31306 and 31311 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31306 and 31311, than apply into the LCM equation.
GCF(31306,31311) = 1
LCM(31306,31311) = ( 31306 × 31311) / 1
LCM(31306,31311) = 980222166 / 1
LCM(31306,31311) = 980222166
Properties of LCM 31306 and 31311
(i) The LCM of 31311 and 31306 is associative
LCM of 31306 and 31311 = LCM of 31311 and 31306
Related Least Common Multiples of 31306
Related Least Common Multiples of 31311
Frequently Asked Questions on LCM of 31306 and 31311
1. What is the LCM of 31306 and 31311?
Answer: LCM of 31306 and 31311 is 980222166.
2. What are the Factors of 31306?
Answer: Factors of 31306 are 1, 2, 11, 22, 1423, 2846, 15653, 31306. There are 8 integers that are factors of 31306. The greatest factor of 31306 is 31306.
3. What are the Factors of 31311?
Answer: Factors of 31311 are 1, 3, 7, 9, 21, 49, 63, 71, 147, 213, 441, 497, 639, 1491, 3479, 4473, 10437, 31311. There are 18 integers that are factors of 31311. The greatest factor of 31311 is 31311.
4. How to Find the LCM of 31306 and 31311?
Answer:
Least Common Multiple of 31306 and 31311 = 980222166
Step 1: Find the prime factorization of 31306
31306 = 2 x 11 x 1423
Step 2: Find the prime factorization of 31311
31311 = 3 x 3 x 7 x 7 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 980222166 = 2 x 3 x 3 x 7 x 7 x 11 x 71 x 1423
Step 4: Therefore, the least common multiple of 31306 and 31311 is 980222166.