Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6639 and 6646 the smallest integer that is 44122794 that is divisible by both numbers.
Least Common Multiple (LCM) of 6639 and 6646 is 44122794.
LCM(6639,6646) = 44122794
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 6639 and 6646. First we will calculate the prime factors of 6639 and 6646.
Prime Factorization of 6639
3 | 6639 |
2213 | 2213 |
1 |
Prime factors of 6639 are 3,2213. Prime factorization of 6639 in exponential form is:
6639 = 31×22131
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 6639 and 6646.
LCM(6639,6646) = 21×31×22131×33231
LCM(6639,6646) = 44122794
Factors of 6639
List of positive integer factors of 6639 that divides 6639 without a remainder.
1, 3, 2213, 6639
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 6639 and 6646, than apply into the LCM equation.
GCF(6639,6646) = 1
LCM(6639,6646) = ( 6639 × 6646) / 1
LCM(6639,6646) = 44122794 / 1
LCM(6639,6646) = 44122794
(i) The LCM of 6646 and 6639 is associative
LCM of 6639 and 6646 = LCM of 6646 and 6639
1. What is the LCM of 6639 and 6646?
Answer: LCM of 6639 and 6646 is 44122794.
2. What are the Factors of 6639?
Answer: Factors of 6639 are 1, 3, 2213, 6639. There are 4 integers that are factors of 6639. The greatest factor of 6639 is 6639.
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 6639 and 6646?
Answer:
Least Common Multiple of 6639 and 6646 = 44122794
Step 1: Find the prime factorization of 6639
6639 = 3 x 2213
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 = 44122794 = 2 x 3 x 2213 x 3323
Step 4: Therefore, the least common multiple of 6639 and 6646 is 44122794.