Least Common Multiple of 5830 and 5837
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5830 and 5837 the smallest integer that is 34029710 that is divisible by both numbers.
Least Common Multiple (LCM) of 5830 and 5837 is 34029710.
LCM(5830,5837) = 34029710
LCM of 5830 and 5837
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5830 and 5837 by Prime method
- Least Common Multiple of 5830 and 5837 with GCF Formula
LCM of 5830 and 5837 is 34029710
Least common multiple can be found by multiplying the highest exponent prime factors of 5830 and 5837. First we will calculate the prime factors of 5830 and 5837.
Prime Factorization of 5830
| 2 | 5830 |
| 5 | 2915 |
| 11 | 583 |
| 53 | 53 |
| 1 |
Prime factors of 5830 are 2, 5, 11,53. Prime factorization of 5830 in exponential form is:
5830 = 21×51×111×531
Prime Factorization of 5837
| 13 | 5837 |
| 449 | 449 |
| 1 |
Prime factors of 5837 are 13,449. Prime factorization of 5837 in exponential form is:
5837 = 131×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 5830 and 5837.
LCM(5830,5837) = 21×51×111×131×531×4491
LCM(5830,5837) = 34029710
Factors of 5830
List of positive integer factors of 5830 that divides 5830 without a remainder.
1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830
Factors of 5837
List of positive integer factors of 5837 that divides 5837 without a remainder.
1, 13, 449, 5837
Least Common Multiple of 5830 and 5837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5830 and 5837, than apply into the LCM equation.
GCF(5830,5837) = 1
LCM(5830,5837) = ( 5830 × 5837) / 1
LCM(5830,5837) = 34029710 / 1
LCM(5830,5837) = 34029710
Properties of LCM 5830 and 5837
(i) The LCM of 5837 and 5830 is associative
LCM of 5830 and 5837 = LCM of 5837 and 5830
Related Least Common Multiples of 5830
Related Least Common Multiples of 5837
Frequently Asked Questions on LCM of 5830 and 5837
1. What is the LCM of 5830 and 5837?
Answer: LCM of 5830 and 5837 is 34029710.
2. What are the Factors of 5830?
Answer: Factors of 5830 are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830. There are 16 integers that are factors of 5830. The greatest factor of 5830 is 5830.
3. What are the Factors of 5837?
Answer: Factors of 5837 are 1, 13, 449, 5837. There are 4 integers that are factors of 5837. The greatest factor of 5837 is 5837.
4. How to Find the LCM of 5830 and 5837?
Answer:
Least Common Multiple of 5830 and 5837 = 34029710
Step 1: Find the prime factorization of 5830
5830 = 2 x 5 x 11 x 53
Step 2: Find the prime factorization of 5837
5837 = 13 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34029710 = 2 x 5 x 11 x 13 x 53 x 449
Step 4: Therefore, the least common multiple of 5830 and 5837 is 34029710.