Least Common Multiple of 311402 and 311403
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 311402 and 311403 the smallest integer that is 96971517006 that is divisible by both numbers.
Least Common Multiple (LCM) of 311402 and 311403 is 96971517006.
LCM(311402,311403) = 96971517006
LCM of 311402 and 311403
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 311402 and 311403 by Prime method
- Least Common Multiple of 311402 and 311403 with GCF Formula
LCM of 311402 and 311403 is 96971517006
Least common multiple can be found by multiplying the highest exponent prime factors of 311402 and 311403. First we will calculate the prime factors of 311402 and 311403.
Prime Factorization of 311402
| 2 | 311402 |
| 7 | 155701 |
| 13 | 22243 |
| 29 | 1711 |
| 59 | 59 |
| 1 |
Prime factors of 311402 are 2, 7, 13, 29,59. Prime factorization of 311402 in exponential form is:
311402 = 21×71×131×291×591
Prime Factorization of 311403
| 3 | 311403 |
| 103801 | 103801 |
| 1 |
Prime factors of 311403 are 3,103801. Prime factorization of 311403 in exponential form is:
311403 = 31×1038011
Now multiplying the highest exponent prime factors to calculate the LCM of 311402 and 311403.
LCM(311402,311403) = 21×31×71×131×291×591×1038011
LCM(311402,311403) = 96971517006
Factors of 311402
List of positive integer factors of 311402 that divides 311402 without a remainder.
1, 2, 7, 13, 14, 26, 29, 58, 59, 91, 118, 182, 203, 377, 406, 413, 754, 767, 826, 1534, 1711, 2639, 3422, 5278, 5369, 10738, 11977, 22243, 23954, 44486, 155701, 311402
Factors of 311403
List of positive integer factors of 311403 that divides 311403 without a remainder.
1, 3, 103801, 311403
Least Common Multiple of 311402 and 311403 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311402 and 311403, than apply into the LCM equation.
GCF(311402,311403) = 1
LCM(311402,311403) = ( 311402 × 311403) / 1
LCM(311402,311403) = 96971517006 / 1
LCM(311402,311403) = 96971517006
Properties of LCM 311402 and 311403
(i) The LCM of 311403 and 311402 is associative
LCM of 311402 and 311403 = LCM of 311403 and 311402
Related Least Common Multiples of 311402
Related Least Common Multiples of 311403
Frequently Asked Questions on LCM of 311402 and 311403
1. What is the LCM of 311402 and 311403?
Answer: LCM of 311402 and 311403 is 96971517006.
2. What are the Factors of 311402?
Answer: Factors of 311402 are 1, 2, 7, 13, 14, 26, 29, 58, 59, 91, 118, 182, 203, 377, 406, 413, 754, 767, 826, 1534, 1711, 2639, 3422, 5278, 5369, 10738, 11977, 22243, 23954, 44486, 155701, 311402. There are 32 integers that are factors of 311402. The greatest factor of 311402 is 311402.
3. What are the Factors of 311403?
Answer: Factors of 311403 are 1, 3, 103801, 311403. There are 4 integers that are factors of 311403. The greatest factor of 311403 is 311403.
4. How to Find the LCM of 311402 and 311403?
Answer:
Least Common Multiple of 311402 and 311403 = 96971517006
Step 1: Find the prime factorization of 311402
311402 = 2 x 7 x 13 x 29 x 59
Step 2: Find the prime factorization of 311403
311403 = 3 x 103801
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96971517006 = 2 x 3 x 7 x 13 x 29 x 59 x 103801
Step 4: Therefore, the least common multiple of 311402 and 311403 is 96971517006.