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 5834 the smallest integer that is 16994442 that is divisible by both numbers.
Least Common Multiple (LCM) of 5826 and 5834 is 16994442.
LCM(5826,5834) = 16994442
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 5834. First we will calculate the prime factors of 5826 and 5834.
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 5834
2 | 5834 |
2917 | 2917 |
1 |
Prime factors of 5834 are 2,2917. Prime factorization of 5834 in exponential form is:
5834 = 21×29171
Now multiplying the highest exponent prime factors to calculate the LCM of 5826 and 5834.
LCM(5826,5834) = 21×31×9711×29171
LCM(5826,5834) = 16994442
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 5834
List of positive integer factors of 5834 that divides 5834 without a remainder.
1, 2, 2917, 5834
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5826 and 5834, than apply into the LCM equation.
GCF(5826,5834) = 2
LCM(5826,5834) = ( 5826 × 5834) / 2
LCM(5826,5834) = 33988884 / 2
LCM(5826,5834) = 16994442
(i) The LCM of 5834 and 5826 is associative
LCM of 5826 and 5834 = LCM of 5834 and 5826
1. What is the LCM of 5826 and 5834?
Answer: LCM of 5826 and 5834 is 16994442.
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 5834?
Answer: Factors of 5834 are 1, 2, 2917, 5834. There are 4 integers that are factors of 5834. The greatest factor of 5834 is 5834.
4. How to Find the LCM of 5826 and 5834?
Answer:
Least Common Multiple of 5826 and 5834 = 16994442
Step 1: Find the prime factorization of 5826
5826 = 2 x 3 x 971
Step 2: Find the prime factorization of 5834
5834 = 2 x 2917
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16994442 = 2 x 3 x 971 x 2917
Step 4: Therefore, the least common multiple of 5826 and 5834 is 16994442.