Least Common Multiple of 311402 and 311407
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 311407 the smallest integer that is 96972762614 that is divisible by both numbers.
Least Common Multiple (LCM) of 311402 and 311407 is 96972762614.
LCM(311402,311407) = 96972762614
LCM of 311402 and 311407
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 311402 and 311407 by Prime method
- Least Common Multiple of 311402 and 311407 with GCF Formula
LCM of 311402 and 311407 is 96972762614
Least common multiple can be found by multiplying the highest exponent prime factors of 311402 and 311407. First we will calculate the prime factors of 311402 and 311407.
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 311407
| 311407 | 311407 |
| 1 |
Prime factors of 311407 are 311407. Prime factorization of 311407 in exponential form is:
311407 = 3114071
Now multiplying the highest exponent prime factors to calculate the LCM of 311402 and 311407.
LCM(311402,311407) = 21×71×131×291×591×3114071
LCM(311402,311407) = 96972762614
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 311407
List of positive integer factors of 311407 that divides 311407 without a remainder.
1, 311407
Least Common Multiple of 311402 and 311407 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 311407, than apply into the LCM equation.
GCF(311402,311407) = 1
LCM(311402,311407) = ( 311402 × 311407) / 1
LCM(311402,311407) = 96972762614 / 1
LCM(311402,311407) = 96972762614
Properties of LCM 311402 and 311407
(i) The LCM of 311407 and 311402 is associative
LCM of 311402 and 311407 = LCM of 311407 and 311402
Related Least Common Multiples of 311402
Related Least Common Multiples of 311407
Frequently Asked Questions on LCM of 311402 and 311407
1. What is the LCM of 311402 and 311407?
Answer: LCM of 311402 and 311407 is 96972762614.
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 311407?
Answer: Factors of 311407 are 1, 311407. There are 2 integers that are factors of 311407. The greatest factor of 311407 is 311407.
4. How to Find the LCM of 311402 and 311407?
Answer:
Least Common Multiple of 311402 and 311407 = 96972762614
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 311407
311407 = 311407
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96972762614 = 2 x 7 x 13 x 29 x 59 x 311407
Step 4: Therefore, the least common multiple of 311402 and 311407 is 96972762614.