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 5651 the smallest integer that is 31911197 that is divisible by both numbers.
Least Common Multiple (LCM) of 5647 and 5651 is 31911197.
LCM(5647,5651) = 31911197
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 5651. First we will calculate the prime factors of 5647 and 5651.
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 5651
5651 | 5651 |
1 |
Prime factors of 5651 are 5651. Prime factorization of 5651 in exponential form is:
5651 = 56511
Now multiplying the highest exponent prime factors to calculate the LCM of 5647 and 5651.
LCM(5647,5651) = 56471×56511
LCM(5647,5651) = 31911197
Factors of 5647
List of positive integer factors of 5647 that divides 5647 without a remainder.
1, 5647
Factors of 5651
List of positive integer factors of 5651 that divides 5651 without a remainder.
1, 5651
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5647 and 5651, than apply into the LCM equation.
GCF(5647,5651) = 1
LCM(5647,5651) = ( 5647 × 5651) / 1
LCM(5647,5651) = 31911197 / 1
LCM(5647,5651) = 31911197
(i) The LCM of 5651 and 5647 is associative
LCM of 5647 and 5651 = LCM of 5651 and 5647
1. What is the LCM of 5647 and 5651?
Answer: LCM of 5647 and 5651 is 31911197.
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 5651?
Answer: Factors of 5651 are 1, 5651. There are 2 integers that are factors of 5651. The greatest factor of 5651 is 5651.
4. How to Find the LCM of 5647 and 5651?
Answer:
Least Common Multiple of 5647 and 5651 = 31911197
Step 1: Find the prime factorization of 5647
5647 = 5647
Step 2: Find the prime factorization of 5651
5651 = 5651
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31911197 = 5647 x 5651
Step 4: Therefore, the least common multiple of 5647 and 5651 is 31911197.