Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5358 and 5366 the smallest integer that is 14375514 that is divisible by both numbers.
Least Common Multiple (LCM) of 5358 and 5366 is 14375514.
LCM(5358,5366) = 14375514
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 5358 and 5366. First we will calculate the prime factors of 5358 and 5366.
Prime Factorization of 5358
2 | 5358 |
3 | 2679 |
19 | 893 |
47 | 47 |
1 |
Prime factors of 5358 are 2, 3, 19,47. Prime factorization of 5358 in exponential form is:
5358 = 21×31×191×471
Prime Factorization of 5366
2 | 5366 |
2683 | 2683 |
1 |
Prime factors of 5366 are 2,2683. Prime factorization of 5366 in exponential form is:
5366 = 21×26831
Now multiplying the highest exponent prime factors to calculate the LCM of 5358 and 5366.
LCM(5358,5366) = 21×31×191×471×26831
LCM(5358,5366) = 14375514
Factors of 5358
List of positive integer factors of 5358 that divides 5358 without a remainder.
1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358
Factors of 5366
List of positive integer factors of 5366 that divides 5366 without a remainder.
1, 2, 2683, 5366
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5358 and 5366, than apply into the LCM equation.
GCF(5358,5366) = 2
LCM(5358,5366) = ( 5358 × 5366) / 2
LCM(5358,5366) = 28751028 / 2
LCM(5358,5366) = 14375514
(i) The LCM of 5366 and 5358 is associative
LCM of 5358 and 5366 = LCM of 5366 and 5358
1. What is the LCM of 5358 and 5366?
Answer: LCM of 5358 and 5366 is 14375514.
2. What are the Factors of 5358?
Answer: Factors of 5358 are 1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358. There are 16 integers that are factors of 5358. The greatest factor of 5358 is 5358.
3. What are the Factors of 5366?
Answer: Factors of 5366 are 1, 2, 2683, 5366. There are 4 integers that are factors of 5366. The greatest factor of 5366 is 5366.
4. How to Find the LCM of 5358 and 5366?
Answer:
Least Common Multiple of 5358 and 5366 = 14375514
Step 1: Find the prime factorization of 5358
5358 = 2 x 3 x 19 x 47
Step 2: Find the prime factorization of 5366
5366 = 2 x 2683
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14375514 = 2 x 3 x 19 x 47 x 2683
Step 4: Therefore, the least common multiple of 5358 and 5366 is 14375514.