Least Common Multiple of 5833 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 5833 and 5837 the smallest integer that is 34047221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5833 and 5837 is 34047221.
LCM(5833,5837) = 34047221
LCM of 5833 and 5837
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5833 and 5837 by Prime method
- Least Common Multiple of 5833 and 5837 with GCF Formula
LCM of 5833 and 5837 is 34047221
Least common multiple can be found by multiplying the highest exponent prime factors of 5833 and 5837. First we will calculate the prime factors of 5833 and 5837.
Prime Factorization of 5833
| 19 | 5833 |
| 307 | 307 |
| 1 |
Prime factors of 5833 are 19,307. Prime factorization of 5833 in exponential form is:
5833 = 191×3071
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 5833 and 5837.
LCM(5833,5837) = 131×191×3071×4491
LCM(5833,5837) = 34047221
Factors of 5833
List of positive integer factors of 5833 that divides 5833 without a remainder.
1, 19, 307, 5833
Factors of 5837
List of positive integer factors of 5837 that divides 5837 without a remainder.
1, 13, 449, 5837
Least Common Multiple of 5833 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 5833 and 5837, than apply into the LCM equation.
GCF(5833,5837) = 1
LCM(5833,5837) = ( 5833 × 5837) / 1
LCM(5833,5837) = 34047221 / 1
LCM(5833,5837) = 34047221
Properties of LCM 5833 and 5837
(i) The LCM of 5837 and 5833 is associative
LCM of 5833 and 5837 = LCM of 5837 and 5833
Related Least Common Multiples of 5833
Related Least Common Multiples of 5837
Frequently Asked Questions on LCM of 5833 and 5837
1. What is the LCM of 5833 and 5837?
Answer: LCM of 5833 and 5837 is 34047221.
2. What are the Factors of 5833?
Answer: Factors of 5833 are 1, 19, 307, 5833. There are 4 integers that are factors of 5833. The greatest factor of 5833 is 5833.
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 5833 and 5837?
Answer:
Least Common Multiple of 5833 and 5837 = 34047221
Step 1: Find the prime factorization of 5833
5833 = 19 x 307
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 = 34047221 = 13 x 19 x 307 x 449
Step 4: Therefore, the least common multiple of 5833 and 5837 is 34047221.