Least Common Multiple of 6678 and 6683
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6678 and 6683 the smallest integer that is 44629074 that is divisible by both numbers.
Least Common Multiple (LCM) of 6678 and 6683 is 44629074.
LCM(6678,6683) = 44629074
LCM of 6678 and 6683
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6678 and 6683 by Prime method
- Least Common Multiple of 6678 and 6683 with GCF Formula
LCM of 6678 and 6683 is 44629074
Least common multiple can be found by multiplying the highest exponent prime factors of 6678 and 6683. First we will calculate the prime factors of 6678 and 6683.
Prime Factorization of 6678
| 2 | 6678 |
| 3 | 3339 |
| 3 | 1113 |
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 6678 are 2, 3, 7,53. Prime factorization of 6678 in exponential form is:
6678 = 21×32×71×531
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6678 and 6683.
LCM(6678,6683) = 21×32×71×411×531×1631
LCM(6678,6683) = 44629074
Factors of 6678
List of positive integer factors of 6678 that divides 6678 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678
Factors of 6683
List of positive integer factors of 6683 that divides 6683 without a remainder.
1, 41, 163, 6683
Least Common Multiple of 6678 and 6683 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6678 and 6683, than apply into the LCM equation.
GCF(6678,6683) = 1
LCM(6678,6683) = ( 6678 × 6683) / 1
LCM(6678,6683) = 44629074 / 1
LCM(6678,6683) = 44629074
Properties of LCM 6678 and 6683
(i) The LCM of 6683 and 6678 is associative
LCM of 6678 and 6683 = LCM of 6683 and 6678
Related Least Common Multiples of 6678
Related Least Common Multiples of 6683
Frequently Asked Questions on LCM of 6678 and 6683
1. What is the LCM of 6678 and 6683?
Answer: LCM of 6678 and 6683 is 44629074.
2. What are the Factors of 6678?
Answer: Factors of 6678 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678. There are 24 integers that are factors of 6678. The greatest factor of 6678 is 6678.
3. 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.
4. How to Find the LCM of 6678 and 6683?
Answer:
Least Common Multiple of 6678 and 6683 = 44629074
Step 1: Find the prime factorization of 6678
6678 = 2 x 3 x 3 x 7 x 53
Step 2: Find the prime factorization of 6683
6683 = 41 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44629074 = 2 x 3 x 3 x 7 x 41 x 53 x 163
Step 4: Therefore, the least common multiple of 6678 and 6683 is 44629074.