Least Common Multiple of 6639 and 6647
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 6647 the smallest integer that is 44129433 that is divisible by both numbers.
Least Common Multiple (LCM) of 6639 and 6647 is 44129433.
LCM(6639,6647) = 44129433
LCM of 6639 and 6647
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6639 and 6647 by Prime method
- Least Common Multiple of 6639 and 6647 with GCF Formula
LCM of 6639 and 6647 is 44129433
Least common multiple can be found by multiplying the highest exponent prime factors of 6639 and 6647. First we will calculate the prime factors of 6639 and 6647.
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 6647
| 17 | 6647 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 6647 are 17,23. Prime factorization of 6647 in exponential form is:
6647 = 172×231
Now multiplying the highest exponent prime factors to calculate the LCM of 6639 and 6647.
LCM(6639,6647) = 31×172×231×22131
LCM(6639,6647) = 44129433
Factors of 6639
List of positive integer factors of 6639 that divides 6639 without a remainder.
1, 3, 2213, 6639
Factors of 6647
List of positive integer factors of 6647 that divides 6647 without a remainder.
1, 17, 23, 289, 391, 6647
Least Common Multiple of 6639 and 6647 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6639 and 6647, than apply into the LCM equation.
GCF(6639,6647) = 1
LCM(6639,6647) = ( 6639 × 6647) / 1
LCM(6639,6647) = 44129433 / 1
LCM(6639,6647) = 44129433
Properties of LCM 6639 and 6647
(i) The LCM of 6647 and 6639 is associative
LCM of 6639 and 6647 = LCM of 6647 and 6639
Related Least Common Multiples of 6639
Related Least Common Multiples of 6647
Frequently Asked Questions on LCM of 6639 and 6647
1. What is the LCM of 6639 and 6647?
Answer: LCM of 6639 and 6647 is 44129433.
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 6647?
Answer: Factors of 6647 are 1, 17, 23, 289, 391, 6647. There are 6 integers that are factors of 6647. The greatest factor of 6647 is 6647.
4. How to Find the LCM of 6639 and 6647?
Answer:
Least Common Multiple of 6639 and 6647 = 44129433
Step 1: Find the prime factorization of 6639
6639 = 3 x 2213
Step 2: Find the prime factorization of 6647
6647 = 17 x 17 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44129433 = 3 x 17 x 17 x 23 x 2213
Step 4: Therefore, the least common multiple of 6639 and 6647 is 44129433.