Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5637 and 5644 the smallest integer that is 31815228 that is divisible by both numbers.
Least Common Multiple (LCM) of 5637 and 5644 is 31815228.
LCM(5637,5644) = 31815228
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 5637 and 5644. First we will calculate the prime factors of 5637 and 5644.
Prime Factorization of 5637
3 | 5637 |
1879 | 1879 |
1 |
Prime factors of 5637 are 3,1879. Prime factorization of 5637 in exponential form is:
5637 = 31×18791
Prime Factorization of 5644
2 | 5644 |
2 | 2822 |
17 | 1411 |
83 | 83 |
1 |
Prime factors of 5644 are 2, 17,83. Prime factorization of 5644 in exponential form is:
5644 = 22×171×831
Now multiplying the highest exponent prime factors to calculate the LCM of 5637 and 5644.
LCM(5637,5644) = 22×31×171×831×18791
LCM(5637,5644) = 31815228
Factors of 5637
List of positive integer factors of 5637 that divides 5637 without a remainder.
1, 3, 1879, 5637
Factors of 5644
List of positive integer factors of 5644 that divides 5644 without a remainder.
1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5637 and 5644, than apply into the LCM equation.
GCF(5637,5644) = 1
LCM(5637,5644) = ( 5637 × 5644) / 1
LCM(5637,5644) = 31815228 / 1
LCM(5637,5644) = 31815228
(i) The LCM of 5644 and 5637 is associative
LCM of 5637 and 5644 = LCM of 5644 and 5637
1. What is the LCM of 5637 and 5644?
Answer: LCM of 5637 and 5644 is 31815228.
2. What are the Factors of 5637?
Answer: Factors of 5637 are 1, 3, 1879, 5637. There are 4 integers that are factors of 5637. The greatest factor of 5637 is 5637.
3. What are the Factors of 5644?
Answer: Factors of 5644 are 1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644. There are 12 integers that are factors of 5644. The greatest factor of 5644 is 5644.
4. How to Find the LCM of 5637 and 5644?
Answer:
Least Common Multiple of 5637 and 5644 = 31815228
Step 1: Find the prime factorization of 5637
5637 = 3 x 1879
Step 2: Find the prime factorization of 5644
5644 = 2 x 2 x 17 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31815228 = 2 x 2 x 3 x 17 x 83 x 1879
Step 4: Therefore, the least common multiple of 5637 and 5644 is 31815228.