Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5816 and 5823 the smallest integer that is 33866568 that is divisible by both numbers.
Least Common Multiple (LCM) of 5816 and 5823 is 33866568.
LCM(5816,5823) = 33866568
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 5816 and 5823. First we will calculate the prime factors of 5816 and 5823.
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
Prime Factorization of 5823
3 | 5823 |
3 | 1941 |
647 | 647 |
1 |
Prime factors of 5823 are 3,647. Prime factorization of 5823 in exponential form is:
5823 = 32×6471
Now multiplying the highest exponent prime factors to calculate the LCM of 5816 and 5823.
LCM(5816,5823) = 23×32×6471×7271
LCM(5816,5823) = 33866568
Factors of 5816
List of positive integer factors of 5816 that divides 5816 without a remainder.
1, 2, 4, 8, 727, 1454, 2908, 5816
Factors of 5823
List of positive integer factors of 5823 that divides 5823 without a remainder.
1, 3, 9, 647, 1941, 5823
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5816 and 5823, than apply into the LCM equation.
GCF(5816,5823) = 1
LCM(5816,5823) = ( 5816 × 5823) / 1
LCM(5816,5823) = 33866568 / 1
LCM(5816,5823) = 33866568
(i) The LCM of 5823 and 5816 is associative
LCM of 5816 and 5823 = LCM of 5823 and 5816
1. What is the LCM of 5816 and 5823?
Answer: LCM of 5816 and 5823 is 33866568.
2. 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.
3. What are the Factors of 5823?
Answer: Factors of 5823 are 1, 3, 9, 647, 1941, 5823. There are 6 integers that are factors of 5823. The greatest factor of 5823 is 5823.
4. How to Find the LCM of 5816 and 5823?
Answer:
Least Common Multiple of 5816 and 5823 = 33866568
Step 1: Find the prime factorization of 5816
5816 = 2 x 2 x 2 x 727
Step 2: Find the prime factorization of 5823
5823 = 3 x 3 x 647
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33866568 = 2 x 2 x 2 x 3 x 3 x 647 x 727
Step 4: Therefore, the least common multiple of 5816 and 5823 is 33866568.