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 5808 the smallest integer that is 5616336 that is divisible by both numbers.
Least Common Multiple (LCM) of 5802 and 5808 is 5616336.
LCM(5802,5808) = 5616336
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 5802 and 5808. First we will calculate the prime factors of 5802 and 5808.
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 5808
2 | 5808 |
2 | 2904 |
2 | 1452 |
2 | 726 |
3 | 363 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 5808 are 2, 3,11. Prime factorization of 5808 in exponential form is:
5808 = 24×31×112
Now multiplying the highest exponent prime factors to calculate the LCM of 5802 and 5808.
LCM(5802,5808) = 24×31×112×9671
LCM(5802,5808) = 5616336
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 5808
List of positive integer factors of 5808 that divides 5808 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 121, 132, 176, 242, 264, 363, 484, 528, 726, 968, 1452, 1936, 2904, 5808
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5802 and 5808, than apply into the LCM equation.
GCF(5802,5808) = 6
LCM(5802,5808) = ( 5802 × 5808) / 6
LCM(5802,5808) = 33698016 / 6
LCM(5802,5808) = 5616336
(i) The LCM of 5808 and 5802 is associative
LCM of 5802 and 5808 = LCM of 5808 and 5802
1. What is the LCM of 5802 and 5808?
Answer: LCM of 5802 and 5808 is 5616336.
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 5808?
Answer: Factors of 5808 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 121, 132, 176, 242, 264, 363, 484, 528, 726, 968, 1452, 1936, 2904, 5808. There are 30 integers that are factors of 5808. The greatest factor of 5808 is 5808.
4. How to Find the LCM of 5802 and 5808?
Answer:
Least Common Multiple of 5802 and 5808 = 5616336
Step 1: Find the prime factorization of 5802
5802 = 2 x 3 x 967
Step 2: Find the prime factorization of 5808
5808 = 2 x 2 x 2 x 2 x 3 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5616336 = 2 x 2 x 2 x 2 x 3 x 11 x 11 x 967
Step 4: Therefore, the least common multiple of 5802 and 5808 is 5616336.