Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5318 and 5326 the smallest integer that is 14161834 that is divisible by both numbers.
Least Common Multiple (LCM) of 5318 and 5326 is 14161834.
LCM(5318,5326) = 14161834
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 5318 and 5326. First we will calculate the prime factors of 5318 and 5326.
Prime Factorization of 5318
2 | 5318 |
2659 | 2659 |
1 |
Prime factors of 5318 are 2,2659. Prime factorization of 5318 in exponential form is:
5318 = 21×26591
Prime Factorization of 5326
2 | 5326 |
2663 | 2663 |
1 |
Prime factors of 5326 are 2,2663. Prime factorization of 5326 in exponential form is:
5326 = 21×26631
Now multiplying the highest exponent prime factors to calculate the LCM of 5318 and 5326.
LCM(5318,5326) = 21×26591×26631
LCM(5318,5326) = 14161834
Factors of 5318
List of positive integer factors of 5318 that divides 5318 without a remainder.
1, 2, 2659, 5318
Factors of 5326
List of positive integer factors of 5326 that divides 5326 without a remainder.
1, 2, 2663, 5326
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5318 and 5326, than apply into the LCM equation.
GCF(5318,5326) = 2
LCM(5318,5326) = ( 5318 × 5326) / 2
LCM(5318,5326) = 28323668 / 2
LCM(5318,5326) = 14161834
(i) The LCM of 5326 and 5318 is associative
LCM of 5318 and 5326 = LCM of 5326 and 5318
1. What is the LCM of 5318 and 5326?
Answer: LCM of 5318 and 5326 is 14161834.
2. What are the Factors of 5318?
Answer: Factors of 5318 are 1, 2, 2659, 5318. There are 4 integers that are factors of 5318. The greatest factor of 5318 is 5318.
3. What are the Factors of 5326?
Answer: Factors of 5326 are 1, 2, 2663, 5326. There are 4 integers that are factors of 5326. The greatest factor of 5326 is 5326.
4. How to Find the LCM of 5318 and 5326?
Answer:
Least Common Multiple of 5318 and 5326 = 14161834
Step 1: Find the prime factorization of 5318
5318 = 2 x 2659
Step 2: Find the prime factorization of 5326
5326 = 2 x 2663
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14161834 = 2 x 2659 x 2663
Step 4: Therefore, the least common multiple of 5318 and 5326 is 14161834.