Least Common Multiple of 5638 and 5643
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5638 and 5643 the smallest integer that is 31815234 that is divisible by both numbers.
Least Common Multiple (LCM) of 5638 and 5643 is 31815234.
LCM(5638,5643) = 31815234
LCM of 5638 and 5643
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5638 and 5643 by Prime method
- Least Common Multiple of 5638 and 5643 with GCF Formula
LCM of 5638 and 5643 is 31815234
Least common multiple can be found by multiplying the highest exponent prime factors of 5638 and 5643. First we will calculate the prime factors of 5638 and 5643.
Prime Factorization of 5638
| 2 | 5638 |
| 2819 | 2819 |
| 1 |
Prime factors of 5638 are 2,2819. Prime factorization of 5638 in exponential form is:
5638 = 21×28191
Prime Factorization of 5643
| 3 | 5643 |
| 3 | 1881 |
| 3 | 627 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 5643 are 3, 11,19. Prime factorization of 5643 in exponential form is:
5643 = 33×111×191
Now multiplying the highest exponent prime factors to calculate the LCM of 5638 and 5643.
LCM(5638,5643) = 21×33×111×191×28191
LCM(5638,5643) = 31815234
Factors of 5638
List of positive integer factors of 5638 that divides 5638 without a remainder.
1, 2, 2819, 5638
Factors of 5643
List of positive integer factors of 5643 that divides 5643 without a remainder.
1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643
Least Common Multiple of 5638 and 5643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5638 and 5643, than apply into the LCM equation.
GCF(5638,5643) = 1
LCM(5638,5643) = ( 5638 × 5643) / 1
LCM(5638,5643) = 31815234 / 1
LCM(5638,5643) = 31815234
Properties of LCM 5638 and 5643
(i) The LCM of 5643 and 5638 is associative
LCM of 5638 and 5643 = LCM of 5643 and 5638
Related Least Common Multiples of 5638
Related Least Common Multiples of 5643
Frequently Asked Questions on LCM of 5638 and 5643
1. What is the LCM of 5638 and 5643?
Answer: LCM of 5638 and 5643 is 31815234.
2. What are the Factors of 5638?
Answer: Factors of 5638 are 1, 2, 2819, 5638. There are 4 integers that are factors of 5638. The greatest factor of 5638 is 5638.
3. What are the Factors of 5643?
Answer: Factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643. There are 16 integers that are factors of 5643. The greatest factor of 5643 is 5643.
4. How to Find the LCM of 5638 and 5643?
Answer:
Least Common Multiple of 5638 and 5643 = 31815234
Step 1: Find the prime factorization of 5638
5638 = 2 x 2819
Step 2: Find the prime factorization of 5643
5643 = 3 x 3 x 3 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31815234 = 2 x 3 x 3 x 3 x 11 x 19 x 2819
Step 4: Therefore, the least common multiple of 5638 and 5643 is 31815234.