Least Common Multiple of 5358 and 5365
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 5365 the smallest integer that is 28745670 that is divisible by both numbers.
Least Common Multiple (LCM) of 5358 and 5365 is 28745670.
LCM(5358,5365) = 28745670
LCM of 5358 and 5365
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5358 and 5365 by Prime method
- Least Common Multiple of 5358 and 5365 with GCF Formula
LCM of 5358 and 5365 is 28745670
Least common multiple can be found by multiplying the highest exponent prime factors of 5358 and 5365. First we will calculate the prime factors of 5358 and 5365.
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 5365
| 5 | 5365 |
| 29 | 1073 |
| 37 | 37 |
| 1 |
Prime factors of 5365 are 5, 29,37. Prime factorization of 5365 in exponential form is:
5365 = 51×291×371
Now multiplying the highest exponent prime factors to calculate the LCM of 5358 and 5365.
LCM(5358,5365) = 21×31×51×191×291×371×471
LCM(5358,5365) = 28745670
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 5365
List of positive integer factors of 5365 that divides 5365 without a remainder.
1, 5, 29, 37, 145, 185, 1073, 5365
Least Common Multiple of 5358 and 5365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5358 and 5365, than apply into the LCM equation.
GCF(5358,5365) = 1
LCM(5358,5365) = ( 5358 × 5365) / 1
LCM(5358,5365) = 28745670 / 1
LCM(5358,5365) = 28745670
Properties of LCM 5358 and 5365
(i) The LCM of 5365 and 5358 is associative
LCM of 5358 and 5365 = LCM of 5365 and 5358
Related Least Common Multiples of 5358
Related Least Common Multiples of 5365
Frequently Asked Questions on LCM of 5358 and 5365
1. What is the LCM of 5358 and 5365?
Answer: LCM of 5358 and 5365 is 28745670.
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 5365?
Answer: Factors of 5365 are 1, 5, 29, 37, 145, 185, 1073, 5365. There are 8 integers that are factors of 5365. The greatest factor of 5365 is 5365.
4. How to Find the LCM of 5358 and 5365?
Answer:
Least Common Multiple of 5358 and 5365 = 28745670
Step 1: Find the prime factorization of 5358
5358 = 2 x 3 x 19 x 47
Step 2: Find the prime factorization of 5365
5365 = 5 x 29 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28745670 = 2 x 3 x 5 x 19 x 29 x 37 x 47
Step 4: Therefore, the least common multiple of 5358 and 5365 is 28745670.