Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5809 and 5816 the smallest integer that is 33785144 that is divisible by both numbers.
Least Common Multiple (LCM) of 5809 and 5816 is 33785144.
LCM(5809,5816) = 33785144
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5809 and 5816. First we will calculate the prime factors of 5809 and 5816.
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
Prime Factorization of 5816
2 | 5816 |
2 | 2908 |
2 | 1454 |
727 | 727 |
1 |
Prime factors of 5816 are 2,727. Prime factorization of 5816 in exponential form is:
5816 = 23×7271
Now multiplying the highest exponent prime factors to calculate the LCM of 5809 and 5816.
LCM(5809,5816) = 23×371×1571×7271
LCM(5809,5816) = 33785144
Factors of 5809
List of positive integer factors of 5809 that divides 5809 without a remainder.
1, 37, 157, 5809
Factors of 5816
List of positive integer factors of 5816 that divides 5816 without a remainder.
1, 2, 4, 8, 727, 1454, 2908, 5816
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5809 and 5816, than apply into the LCM equation.
GCF(5809,5816) = 1
LCM(5809,5816) = ( 5809 × 5816) / 1
LCM(5809,5816) = 33785144 / 1
LCM(5809,5816) = 33785144
(i) The LCM of 5816 and 5809 is associative
LCM of 5809 and 5816 = LCM of 5816 and 5809
1. What is the LCM of 5809 and 5816?
Answer: LCM of 5809 and 5816 is 33785144.
2. 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.
3. What are the Factors of 5816?
Answer: Factors of 5816 are 1, 2, 4, 8, 727, 1454, 2908, 5816. There are 8 integers that are factors of 5816. The greatest factor of 5816 is 5816.
4. How to Find the LCM of 5809 and 5816?
Answer:
Least Common Multiple of 5809 and 5816 = 33785144
Step 1: Find the prime factorization of 5809
5809 = 37 x 157
Step 2: Find the prime factorization of 5816
5816 = 2 x 2 x 2 x 727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33785144 = 2 x 2 x 2 x 37 x 157 x 727
Step 4: Therefore, the least common multiple of 5809 and 5816 is 33785144.