Least Common Multiple of 6683 and 6687
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6683 and 6687 the smallest integer that is 44689221 that is divisible by both numbers.
Least Common Multiple (LCM) of 6683 and 6687 is 44689221.
LCM(6683,6687) = 44689221
LCM of 6683 and 6687
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6683 and 6687 by Prime method
- Least Common Multiple of 6683 and 6687 with GCF Formula
LCM of 6683 and 6687 is 44689221
Least common multiple can be found by multiplying the highest exponent prime factors of 6683 and 6687. First we will calculate the prime factors of 6683 and 6687.
Prime Factorization of 6683
| 41 | 6683 |
| 163 | 163 |
| 1 |
Prime factors of 6683 are 41,163. Prime factorization of 6683 in exponential form is:
6683 = 411×1631
Prime Factorization of 6687
| 3 | 6687 |
| 3 | 2229 |
| 743 | 743 |
| 1 |
Prime factors of 6687 are 3,743. Prime factorization of 6687 in exponential form is:
6687 = 32×7431
Now multiplying the highest exponent prime factors to calculate the LCM of 6683 and 6687.
LCM(6683,6687) = 32×411×1631×7431
LCM(6683,6687) = 44689221
Factors of 6683
List of positive integer factors of 6683 that divides 6683 without a remainder.
1, 41, 163, 6683
Factors of 6687
List of positive integer factors of 6687 that divides 6687 without a remainder.
1, 3, 9, 743, 2229, 6687
Least Common Multiple of 6683 and 6687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6683 and 6687, than apply into the LCM equation.
GCF(6683,6687) = 1
LCM(6683,6687) = ( 6683 × 6687) / 1
LCM(6683,6687) = 44689221 / 1
LCM(6683,6687) = 44689221
Properties of LCM 6683 and 6687
(i) The LCM of 6687 and 6683 is associative
LCM of 6683 and 6687 = LCM of 6687 and 6683
Related Least Common Multiples of 6683
Related Least Common Multiples of 6687
Frequently Asked Questions on LCM of 6683 and 6687
1. What is the LCM of 6683 and 6687?
Answer: LCM of 6683 and 6687 is 44689221.
2. What are the Factors of 6683?
Answer: Factors of 6683 are 1, 41, 163, 6683. There are 4 integers that are factors of 6683. The greatest factor of 6683 is 6683.
3. What are the Factors of 6687?
Answer: Factors of 6687 are 1, 3, 9, 743, 2229, 6687. There are 6 integers that are factors of 6687. The greatest factor of 6687 is 6687.
4. How to Find the LCM of 6683 and 6687?
Answer:
Least Common Multiple of 6683 and 6687 = 44689221
Step 1: Find the prime factorization of 6683
6683 = 41 x 163
Step 2: Find the prime factorization of 6687
6687 = 3 x 3 x 743
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44689221 = 3 x 3 x 41 x 163 x 743
Step 4: Therefore, the least common multiple of 6683 and 6687 is 44689221.