Least Common Multiple of 5802 and 5809
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5802 and 5809 the smallest integer that is 33703818 that is divisible by both numbers.
Least Common Multiple (LCM) of 5802 and 5809 is 33703818.
LCM(5802,5809) = 33703818
LCM of 5802 and 5809
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5802 and 5809 by Prime method
- Least Common Multiple of 5802 and 5809 with GCF Formula
LCM of 5802 and 5809 is 33703818
Least common multiple can be found by multiplying the highest exponent prime factors of 5802 and 5809. First we will calculate the prime factors of 5802 and 5809.
Prime Factorization of 5802
| 2 | 5802 |
| 3 | 2901 |
| 967 | 967 |
| 1 |
Prime factors of 5802 are 2, 3,967. Prime factorization of 5802 in exponential form is:
5802 = 21×31×9671
Prime Factorization of 5809
| 37 | 5809 |
| 157 | 157 |
| 1 |
Prime factors of 5809 are 37,157. Prime factorization of 5809 in exponential form is:
5809 = 371×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 5802 and 5809.
LCM(5802,5809) = 21×31×371×1571×9671
LCM(5802,5809) = 33703818
Factors of 5802
List of positive integer factors of 5802 that divides 5802 without a remainder.
1, 2, 3, 6, 967, 1934, 2901, 5802
Factors of 5809
List of positive integer factors of 5809 that divides 5809 without a remainder.
1, 37, 157, 5809
Least Common Multiple of 5802 and 5809 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5802 and 5809, than apply into the LCM equation.
GCF(5802,5809) = 1
LCM(5802,5809) = ( 5802 × 5809) / 1
LCM(5802,5809) = 33703818 / 1
LCM(5802,5809) = 33703818
Properties of LCM 5802 and 5809
(i) The LCM of 5809 and 5802 is associative
LCM of 5802 and 5809 = LCM of 5809 and 5802
Related Least Common Multiples of 5802
Related Least Common Multiples of 5809
Frequently Asked Questions on LCM of 5802 and 5809
1. What is the LCM of 5802 and 5809?
Answer: LCM of 5802 and 5809 is 33703818.
2. What are the Factors of 5802?
Answer: Factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802. There are 8 integers that are factors of 5802. The greatest factor of 5802 is 5802.
3. What are the Factors of 5809?
Answer: Factors of 5809 are 1, 37, 157, 5809. There are 4 integers that are factors of 5809. The greatest factor of 5809 is 5809.
4. How to Find the LCM of 5802 and 5809?
Answer:
Least Common Multiple of 5802 and 5809 = 33703818
Step 1: Find the prime factorization of 5802
5802 = 2 x 3 x 967
Step 2: Find the prime factorization of 5809
5809 = 37 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33703818 = 2 x 3 x 37 x 157 x 967
Step 4: Therefore, the least common multiple of 5802 and 5809 is 33703818.