Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5826 and 5830 the smallest integer that is 16982790 that is divisible by both numbers.
Least Common Multiple (LCM) of 5826 and 5830 is 16982790.
LCM(5826,5830) = 16982790
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 5826 and 5830. First we will calculate the prime factors of 5826 and 5830.
Prime Factorization of 5826
2 | 5826 |
3 | 2913 |
971 | 971 |
1 |
Prime factors of 5826 are 2, 3,971. Prime factorization of 5826 in exponential form is:
5826 = 21×31×9711
Prime Factorization of 5830
2 | 5830 |
5 | 2915 |
11 | 583 |
53 | 53 |
1 |
Prime factors of 5830 are 2, 5, 11,53. Prime factorization of 5830 in exponential form is:
5830 = 21×51×111×531
Now multiplying the highest exponent prime factors to calculate the LCM of 5826 and 5830.
LCM(5826,5830) = 21×31×51×111×531×9711
LCM(5826,5830) = 16982790
Factors of 5826
List of positive integer factors of 5826 that divides 5826 without a remainder.
1, 2, 3, 6, 971, 1942, 2913, 5826
Factors of 5830
List of positive integer factors of 5830 that divides 5830 without a remainder.
1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5826 and 5830, than apply into the LCM equation.
GCF(5826,5830) = 2
LCM(5826,5830) = ( 5826 × 5830) / 2
LCM(5826,5830) = 33965580 / 2
LCM(5826,5830) = 16982790
(i) The LCM of 5830 and 5826 is associative
LCM of 5826 and 5830 = LCM of 5830 and 5826
1. What is the LCM of 5826 and 5830?
Answer: LCM of 5826 and 5830 is 16982790.
2. What are the Factors of 5826?
Answer: Factors of 5826 are 1, 2, 3, 6, 971, 1942, 2913, 5826. There are 8 integers that are factors of 5826. The greatest factor of 5826 is 5826.
3. What are the Factors of 5830?
Answer: Factors of 5830 are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830. There are 16 integers that are factors of 5830. The greatest factor of 5830 is 5830.
4. How to Find the LCM of 5826 and 5830?
Answer:
Least Common Multiple of 5826 and 5830 = 16982790
Step 1: Find the prime factorization of 5826
5826 = 2 x 3 x 971
Step 2: Find the prime factorization of 5830
5830 = 2 x 5 x 11 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16982790 = 2 x 3 x 5 x 11 x 53 x 971
Step 4: Therefore, the least common multiple of 5826 and 5830 is 16982790.