Least Common Multiple of 313434 and 313441
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 313434 and 313441 the smallest integer that is 98243066394 that is divisible by both numbers.
Least Common Multiple (LCM) of 313434 and 313441 is 98243066394.
LCM(313434,313441) = 98243066394
LCM of 313434 and 313441
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 313434 and 313441 by Prime method
- Least Common Multiple of 313434 and 313441 with GCF Formula
LCM of 313434 and 313441 is 98243066394
Least common multiple can be found by multiplying the highest exponent prime factors of 313434 and 313441. First we will calculate the prime factors of 313434 and 313441.
Prime Factorization of 313434
| 2 | 313434 |
| 3 | 156717 |
| 3 | 52239 |
| 11 | 17413 |
| 1583 | 1583 |
| 1 |
Prime factors of 313434 are 2, 3, 11,1583. Prime factorization of 313434 in exponential form is:
313434 = 21×32×111×15831
Prime Factorization of 313441
| 31 | 313441 |
| 10111 | 10111 |
| 1 |
Prime factors of 313441 are 31,10111. Prime factorization of 313441 in exponential form is:
313441 = 311×101111
Now multiplying the highest exponent prime factors to calculate the LCM of 313434 and 313441.
LCM(313434,313441) = 21×32×111×311×15831×101111
LCM(313434,313441) = 98243066394
Factors of 313434
List of positive integer factors of 313434 that divides 313434 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 1583, 3166, 4749, 9498, 14247, 17413, 28494, 34826, 52239, 104478, 156717, 313434
Factors of 313441
List of positive integer factors of 313441 that divides 313441 without a remainder.
1, 31, 10111, 313441
Least Common Multiple of 313434 and 313441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313434 and 313441, than apply into the LCM equation.
GCF(313434,313441) = 1
LCM(313434,313441) = ( 313434 × 313441) / 1
LCM(313434,313441) = 98243066394 / 1
LCM(313434,313441) = 98243066394
Properties of LCM 313434 and 313441
(i) The LCM of 313441 and 313434 is associative
LCM of 313434 and 313441 = LCM of 313441 and 313434
Related Least Common Multiples of 313434
Related Least Common Multiples of 313441
Frequently Asked Questions on LCM of 313434 and 313441
1. What is the LCM of 313434 and 313441?
Answer: LCM of 313434 and 313441 is 98243066394.
2. What are the Factors of 313434?
Answer: Factors of 313434 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 1583, 3166, 4749, 9498, 14247, 17413, 28494, 34826, 52239, 104478, 156717, 313434. There are 24 integers that are factors of 313434. The greatest factor of 313434 is 313434.
3. What are the Factors of 313441?
Answer: Factors of 313441 are 1, 31, 10111, 313441. There are 4 integers that are factors of 313441. The greatest factor of 313441 is 313441.
4. How to Find the LCM of 313434 and 313441?
Answer:
Least Common Multiple of 313434 and 313441 = 98243066394
Step 1: Find the prime factorization of 313434
313434 = 2 x 3 x 3 x 11 x 1583
Step 2: Find the prime factorization of 313441
313441 = 31 x 10111
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98243066394 = 2 x 3 x 3 x 11 x 31 x 1583 x 10111
Step 4: Therefore, the least common multiple of 313434 and 313441 is 98243066394.