Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6637 and 6644 the smallest integer that is 44096228 that is divisible by both numbers.
Least Common Multiple (LCM) of 6637 and 6644 is 44096228.
LCM(6637,6644) = 44096228
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 6637 and 6644. First we will calculate the prime factors of 6637 and 6644.
Prime Factorization of 6637
6637 | 6637 |
1 |
Prime factors of 6637 are 6637. Prime factorization of 6637 in exponential form is:
6637 = 66371
Prime Factorization of 6644
2 | 6644 |
2 | 3322 |
11 | 1661 |
151 | 151 |
1 |
Prime factors of 6644 are 2, 11,151. Prime factorization of 6644 in exponential form is:
6644 = 22×111×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 6637 and 6644.
LCM(6637,6644) = 22×111×1511×66371
LCM(6637,6644) = 44096228
Factors of 6637
List of positive integer factors of 6637 that divides 6637 without a remainder.
1, 6637
Factors of 6644
List of positive integer factors of 6644 that divides 6644 without a remainder.
1, 2, 4, 11, 22, 44, 151, 302, 604, 1661, 3322, 6644
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6637 and 6644, than apply into the LCM equation.
GCF(6637,6644) = 1
LCM(6637,6644) = ( 6637 × 6644) / 1
LCM(6637,6644) = 44096228 / 1
LCM(6637,6644) = 44096228
(i) The LCM of 6644 and 6637 is associative
LCM of 6637 and 6644 = LCM of 6644 and 6637
1. What is the LCM of 6637 and 6644?
Answer: LCM of 6637 and 6644 is 44096228.
2. What are the Factors of 6637?
Answer: Factors of 6637 are 1, 6637. There are 2 integers that are factors of 6637. The greatest factor of 6637 is 6637.
3. What are the Factors of 6644?
Answer: Factors of 6644 are 1, 2, 4, 11, 22, 44, 151, 302, 604, 1661, 3322, 6644. There are 12 integers that are factors of 6644. The greatest factor of 6644 is 6644.
4. How to Find the LCM of 6637 and 6644?
Answer:
Least Common Multiple of 6637 and 6644 = 44096228
Step 1: Find the prime factorization of 6637
6637 = 6637
Step 2: Find the prime factorization of 6644
6644 = 2 x 2 x 11 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44096228 = 2 x 2 x 11 x 151 x 6637
Step 4: Therefore, the least common multiple of 6637 and 6644 is 44096228.