Least Common Multiple of 5642 and 5647
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5642 and 5647 the smallest integer that is 31860374 that is divisible by both numbers.
Least Common Multiple (LCM) of 5642 and 5647 is 31860374.
LCM(5642,5647) = 31860374
LCM of 5642 and 5647
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5642 and 5647 by Prime method
- Least Common Multiple of 5642 and 5647 with GCF Formula
LCM of 5642 and 5647 is 31860374
Least common multiple can be found by multiplying the highest exponent prime factors of 5642 and 5647. First we will calculate the prime factors of 5642 and 5647.
Prime Factorization of 5642
| 2 | 5642 |
| 7 | 2821 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 5642 are 2, 7, 13,31. Prime factorization of 5642 in exponential form is:
5642 = 21×71×131×311
Prime Factorization of 5647
| 5647 | 5647 |
| 1 |
Prime factors of 5647 are 5647. Prime factorization of 5647 in exponential form is:
5647 = 56471
Now multiplying the highest exponent prime factors to calculate the LCM of 5642 and 5647.
LCM(5642,5647) = 21×71×131×311×56471
LCM(5642,5647) = 31860374
Factors of 5642
List of positive integer factors of 5642 that divides 5642 without a remainder.
1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642
Factors of 5647
List of positive integer factors of 5647 that divides 5647 without a remainder.
1, 5647
Least Common Multiple of 5642 and 5647 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5642 and 5647, than apply into the LCM equation.
GCF(5642,5647) = 1
LCM(5642,5647) = ( 5642 × 5647) / 1
LCM(5642,5647) = 31860374 / 1
LCM(5642,5647) = 31860374
Properties of LCM 5642 and 5647
(i) The LCM of 5647 and 5642 is associative
LCM of 5642 and 5647 = LCM of 5647 and 5642
Related Least Common Multiples of 5642
Related Least Common Multiples of 5647
Frequently Asked Questions on LCM of 5642 and 5647
1. What is the LCM of 5642 and 5647?
Answer: LCM of 5642 and 5647 is 31860374.
2. What are the Factors of 5642?
Answer: Factors of 5642 are 1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642. There are 16 integers that are factors of 5642. The greatest factor of 5642 is 5642.
3. What are the Factors of 5647?
Answer: Factors of 5647 are 1, 5647. There are 2 integers that are factors of 5647. The greatest factor of 5647 is 5647.
4. How to Find the LCM of 5642 and 5647?
Answer:
Least Common Multiple of 5642 and 5647 = 31860374
Step 1: Find the prime factorization of 5642
5642 = 2 x 7 x 13 x 31
Step 2: Find the prime factorization of 5647
5647 = 5647
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31860374 = 2 x 7 x 13 x 31 x 5647
Step 4: Therefore, the least common multiple of 5642 and 5647 is 31860374.