Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5641 and 5647 the smallest integer that is 31854727 that is divisible by both numbers.
Least Common Multiple (LCM) of 5641 and 5647 is 31854727.
LCM(5641,5647) = 31854727
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 5641 and 5647. First we will calculate the prime factors of 5641 and 5647.
Prime Factorization of 5641
5641 | 5641 |
1 |
Prime factors of 5641 are 5641. Prime factorization of 5641 in exponential form is:
5641 = 56411
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 5641 and 5647.
LCM(5641,5647) = 56411×56471
LCM(5641,5647) = 31854727
Factors of 5641
List of positive integer factors of 5641 that divides 5641 without a remainder.
1, 5641
Factors of 5647
List of positive integer factors of 5647 that divides 5647 without a remainder.
1, 5647
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5641 and 5647, than apply into the LCM equation.
GCF(5641,5647) = 1
LCM(5641,5647) = ( 5641 × 5647) / 1
LCM(5641,5647) = 31854727 / 1
LCM(5641,5647) = 31854727
(i) The LCM of 5647 and 5641 is associative
LCM of 5641 and 5647 = LCM of 5647 and 5641
1. What is the LCM of 5641 and 5647?
Answer: LCM of 5641 and 5647 is 31854727.
2. What are the Factors of 5641?
Answer: Factors of 5641 are 1, 5641. There are 2 integers that are factors of 5641. The greatest factor of 5641 is 5641.
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 5641 and 5647?
Answer:
Least Common Multiple of 5641 and 5647 = 31854727
Step 1: Find the prime factorization of 5641
5641 = 5641
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 = 31854727 = 5641 x 5647
Step 4: Therefore, the least common multiple of 5641 and 5647 is 31854727.