Least Common Multiple of 310407 and 310410
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 310407 and 310410 the smallest integer that is 32117812290 that is divisible by both numbers.
Least Common Multiple (LCM) of 310407 and 310410 is 32117812290.
LCM(310407,310410) = 32117812290
LCM of 310407 and 310410
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 310407 and 310410 by Prime method
- Least Common Multiple of 310407 and 310410 with GCF Formula
LCM of 310407 and 310410 is 32117812290
Least common multiple can be found by multiplying the highest exponent prime factors of 310407 and 310410. First we will calculate the prime factors of 310407 and 310410.
Prime Factorization of 310407
| 3 | 310407 |
| 107 | 103469 |
| 967 | 967 |
| 1 |
Prime factors of 310407 are 3, 107,967. Prime factorization of 310407 in exponential form is:
310407 = 31×1071×9671
Prime Factorization of 310410
| 2 | 310410 |
| 3 | 155205 |
| 3 | 51735 |
| 5 | 17245 |
| 3449 | 3449 |
| 1 |
Prime factors of 310410 are 2, 3, 5,3449. Prime factorization of 310410 in exponential form is:
310410 = 21×32×51×34491
Now multiplying the highest exponent prime factors to calculate the LCM of 310407 and 310410.
LCM(310407,310410) = 21×32×51×1071×9671×34491
LCM(310407,310410) = 32117812290
Factors of 310407
List of positive integer factors of 310407 that divides 310407 without a remainder.
1, 3, 107, 321, 967, 2901, 103469, 310407
Factors of 310410
List of positive integer factors of 310410 that divides 310410 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 3449, 6898, 10347, 17245, 20694, 31041, 34490, 51735, 62082, 103470, 155205, 310410
Least Common Multiple of 310407 and 310410 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310407 and 310410, than apply into the LCM equation.
GCF(310407,310410) = 3
LCM(310407,310410) = ( 310407 × 310410) / 3
LCM(310407,310410) = 96353436870 / 3
LCM(310407,310410) = 32117812290
Properties of LCM 310407 and 310410
(i) The LCM of 310410 and 310407 is associative
LCM of 310407 and 310410 = LCM of 310410 and 310407
Related Least Common Multiples of 310407
Related Least Common Multiples of 310410
Frequently Asked Questions on LCM of 310407 and 310410
1. What is the LCM of 310407 and 310410?
Answer: LCM of 310407 and 310410 is 32117812290.
2. What are the Factors of 310407?
Answer: Factors of 310407 are 1, 3, 107, 321, 967, 2901, 103469, 310407. There are 8 integers that are factors of 310407. The greatest factor of 310407 is 310407.
3. What are the Factors of 310410?
Answer: Factors of 310410 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 3449, 6898, 10347, 17245, 20694, 31041, 34490, 51735, 62082, 103470, 155205, 310410. There are 24 integers that are factors of 310410. The greatest factor of 310410 is 310410.
4. How to Find the LCM of 310407 and 310410?
Answer:
Least Common Multiple of 310407 and 310410 = 32117812290
Step 1: Find the prime factorization of 310407
310407 = 3 x 107 x 967
Step 2: Find the prime factorization of 310410
310410 = 2 x 3 x 3 x 5 x 3449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32117812290 = 2 x 3 x 3 x 5 x 107 x 967 x 3449
Step 4: Therefore, the least common multiple of 310407 and 310410 is 32117812290.