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 6646 the smallest integer that is 22064720 that is divisible by both numbers.
Least Common Multiple (LCM) of 6640 and 6646 is 22064720.
LCM(6640,6646) = 22064720
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 6646. First we will calculate the prime factors of 6640 and 6646.
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 6646
2 | 6646 |
3323 | 3323 |
1 |
Prime factors of 6646 are 2,3323. Prime factorization of 6646 in exponential form is:
6646 = 21×33231
Now multiplying the highest exponent prime factors to calculate the LCM of 6640 and 6646.
LCM(6640,6646) = 24×51×831×33231
LCM(6640,6646) = 22064720
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 6646
List of positive integer factors of 6646 that divides 6646 without a remainder.
1, 2, 3323, 6646
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6640 and 6646, than apply into the LCM equation.
GCF(6640,6646) = 2
LCM(6640,6646) = ( 6640 × 6646) / 2
LCM(6640,6646) = 44129440 / 2
LCM(6640,6646) = 22064720
(i) The LCM of 6646 and 6640 is associative
LCM of 6640 and 6646 = LCM of 6646 and 6640
1. What is the LCM of 6640 and 6646?
Answer: LCM of 6640 and 6646 is 22064720.
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 6646?
Answer: Factors of 6646 are 1, 2, 3323, 6646. There are 4 integers that are factors of 6646. The greatest factor of 6646 is 6646.
4. How to Find the LCM of 6640 and 6646?
Answer:
Least Common Multiple of 6640 and 6646 = 22064720
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 6646
6646 = 2 x 3323
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22064720 = 2 x 2 x 2 x 2 x 5 x 83 x 3323
Step 4: Therefore, the least common multiple of 6640 and 6646 is 22064720.