Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5326 and 5333 the smallest integer that is 28403558 that is divisible by both numbers.
Least Common Multiple (LCM) of 5326 and 5333 is 28403558.
LCM(5326,5333) = 28403558
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 5326 and 5333. First we will calculate the prime factors of 5326 and 5333.
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
Prime Factorization of 5333
5333 | 5333 |
1 |
Prime factors of 5333 are 5333. Prime factorization of 5333 in exponential form is:
5333 = 53331
Now multiplying the highest exponent prime factors to calculate the LCM of 5326 and 5333.
LCM(5326,5333) = 21×26631×53331
LCM(5326,5333) = 28403558
Factors of 5326
List of positive integer factors of 5326 that divides 5326 without a remainder.
1, 2, 2663, 5326
Factors of 5333
List of positive integer factors of 5333 that divides 5333 without a remainder.
1, 5333
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5326 and 5333, than apply into the LCM equation.
GCF(5326,5333) = 1
LCM(5326,5333) = ( 5326 × 5333) / 1
LCM(5326,5333) = 28403558 / 1
LCM(5326,5333) = 28403558
(i) The LCM of 5333 and 5326 is associative
LCM of 5326 and 5333 = LCM of 5333 and 5326
1. What is the LCM of 5326 and 5333?
Answer: LCM of 5326 and 5333 is 28403558.
2. 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.
3. What are the Factors of 5333?
Answer: Factors of 5333 are 1, 5333. There are 2 integers that are factors of 5333. The greatest factor of 5333 is 5333.
4. How to Find the LCM of 5326 and 5333?
Answer:
Least Common Multiple of 5326 and 5333 = 28403558
Step 1: Find the prime factorization of 5326
5326 = 2 x 2663
Step 2: Find the prime factorization of 5333
5333 = 5333
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28403558 = 2 x 2663 x 5333
Step 4: Therefore, the least common multiple of 5326 and 5333 is 28403558.