Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6640 and 6644 the smallest integer that is 11029040 that is divisible by both numbers.
Least Common Multiple (LCM) of 6640 and 6644 is 11029040.
LCM(6640,6644) = 11029040
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 6640 and 6644. First we will calculate the prime factors of 6640 and 6644.
Prime Factorization of 6640
2 | 6640 |
2 | 3320 |
2 | 1660 |
2 | 830 |
5 | 415 |
83 | 83 |
1 |
Prime factors of 6640 are 2, 5,83. Prime factorization of 6640 in exponential form is:
6640 = 24×51×831
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 6640 and 6644.
LCM(6640,6644) = 24×51×111×831×1511
LCM(6640,6644) = 11029040
Factors of 6640
List of positive integer factors of 6640 that divides 6640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640
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 6640 and 6644, than apply into the LCM equation.
GCF(6640,6644) = 4
LCM(6640,6644) = ( 6640 × 6644) / 4
LCM(6640,6644) = 44116160 / 4
LCM(6640,6644) = 11029040
(i) The LCM of 6644 and 6640 is associative
LCM of 6640 and 6644 = LCM of 6644 and 6640
1. What is the LCM of 6640 and 6644?
Answer: LCM of 6640 and 6644 is 11029040.
2. What are the Factors of 6640?
Answer: Factors of 6640 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640. There are 20 integers that are factors of 6640. The greatest factor of 6640 is 6640.
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 6640 and 6644?
Answer:
Least Common Multiple of 6640 and 6644 = 11029040
Step 1: Find the prime factorization of 6640
6640 = 2 x 2 x 2 x 2 x 5 x 83
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 = 11029040 = 2 x 2 x 2 x 2 x 5 x 11 x 83 x 151
Step 4: Therefore, the least common multiple of 6640 and 6644 is 11029040.