Least Common Multiple of 311406 and 311413
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 311406 and 311413 the smallest integer that is 96975876678 that is divisible by both numbers.
Least Common Multiple (LCM) of 311406 and 311413 is 96975876678.
LCM(311406,311413) = 96975876678
LCM of 311406 and 311413
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 311406 and 311413 by Prime method
- Least Common Multiple of 311406 and 311413 with GCF Formula
LCM of 311406 and 311413 is 96975876678
Least common multiple can be found by multiplying the highest exponent prime factors of 311406 and 311413. First we will calculate the prime factors of 311406 and 311413.
Prime Factorization of 311406
| 2 | 311406 |
| 3 | 155703 |
| 17 | 51901 |
| 43 | 3053 |
| 71 | 71 |
| 1 |
Prime factors of 311406 are 2, 3, 17, 43,71. Prime factorization of 311406 in exponential form is:
311406 = 21×31×171×431×711
Prime Factorization of 311413
| 109 | 311413 |
| 2857 | 2857 |
| 1 |
Prime factors of 311413 are 109,2857. Prime factorization of 311413 in exponential form is:
311413 = 1091×28571
Now multiplying the highest exponent prime factors to calculate the LCM of 311406 and 311413.
LCM(311406,311413) = 21×31×171×431×711×1091×28571
LCM(311406,311413) = 96975876678
Factors of 311406
List of positive integer factors of 311406 that divides 311406 without a remainder.
1, 2, 3, 6, 17, 34, 43, 51, 71, 86, 102, 129, 142, 213, 258, 426, 731, 1207, 1462, 2193, 2414, 3053, 3621, 4386, 6106, 7242, 9159, 18318, 51901, 103802, 155703, 311406
Factors of 311413
List of positive integer factors of 311413 that divides 311413 without a remainder.
1, 109, 2857, 311413
Least Common Multiple of 311406 and 311413 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311406 and 311413, than apply into the LCM equation.
GCF(311406,311413) = 1
LCM(311406,311413) = ( 311406 × 311413) / 1
LCM(311406,311413) = 96975876678 / 1
LCM(311406,311413) = 96975876678
Properties of LCM 311406 and 311413
(i) The LCM of 311413 and 311406 is associative
LCM of 311406 and 311413 = LCM of 311413 and 311406
Related Least Common Multiples of 311406
Related Least Common Multiples of 311413
Frequently Asked Questions on LCM of 311406 and 311413
1. What is the LCM of 311406 and 311413?
Answer: LCM of 311406 and 311413 is 96975876678.
2. What are the Factors of 311406?
Answer: Factors of 311406 are 1, 2, 3, 6, 17, 34, 43, 51, 71, 86, 102, 129, 142, 213, 258, 426, 731, 1207, 1462, 2193, 2414, 3053, 3621, 4386, 6106, 7242, 9159, 18318, 51901, 103802, 155703, 311406. There are 32 integers that are factors of 311406. The greatest factor of 311406 is 311406.
3. What are the Factors of 311413?
Answer: Factors of 311413 are 1, 109, 2857, 311413. There are 4 integers that are factors of 311413. The greatest factor of 311413 is 311413.
4. How to Find the LCM of 311406 and 311413?
Answer:
Least Common Multiple of 311406 and 311413 = 96975876678
Step 1: Find the prime factorization of 311406
311406 = 2 x 3 x 17 x 43 x 71
Step 2: Find the prime factorization of 311413
311413 = 109 x 2857
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96975876678 = 2 x 3 x 17 x 43 x 71 x 109 x 2857
Step 4: Therefore, the least common multiple of 311406 and 311413 is 96975876678.