Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5647 and 5653 the smallest integer that is 31922491 that is divisible by both numbers.
Least Common Multiple (LCM) of 5647 and 5653 is 31922491.
LCM(5647,5653) = 31922491
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 5647 and 5653. First we will calculate the prime factors of 5647 and 5653.
Prime Factorization of 5647
5647 | 5647 |
1 |
Prime factors of 5647 are 5647. Prime factorization of 5647 in exponential form is:
5647 = 56471
Prime Factorization of 5653
5653 | 5653 |
1 |
Prime factors of 5653 are 5653. Prime factorization of 5653 in exponential form is:
5653 = 56531
Now multiplying the highest exponent prime factors to calculate the LCM of 5647 and 5653.
LCM(5647,5653) = 56471×56531
LCM(5647,5653) = 31922491
Factors of 5647
List of positive integer factors of 5647 that divides 5647 without a remainder.
1, 5647
Factors of 5653
List of positive integer factors of 5653 that divides 5653 without a remainder.
1, 5653
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5647 and 5653, than apply into the LCM equation.
GCF(5647,5653) = 1
LCM(5647,5653) = ( 5647 × 5653) / 1
LCM(5647,5653) = 31922491 / 1
LCM(5647,5653) = 31922491
(i) The LCM of 5653 and 5647 is associative
LCM of 5647 and 5653 = LCM of 5653 and 5647
1. What is the LCM of 5647 and 5653?
Answer: LCM of 5647 and 5653 is 31922491.
2. 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.
3. What are the Factors of 5653?
Answer: Factors of 5653 are 1, 5653. There are 2 integers that are factors of 5653. The greatest factor of 5653 is 5653.
4. How to Find the LCM of 5647 and 5653?
Answer:
Least Common Multiple of 5647 and 5653 = 31922491
Step 1: Find the prime factorization of 5647
5647 = 5647
Step 2: Find the prime factorization of 5653
5653 = 5653
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31922491 = 5647 x 5653
Step 4: Therefore, the least common multiple of 5647 and 5653 is 31922491.