Least Common Multiple of 6699 and 6706
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6699 and 6706 the smallest integer that is 6417642 that is divisible by both numbers.
Least Common Multiple (LCM) of 6699 and 6706 is 6417642.
LCM(6699,6706) = 6417642
LCM of 6699 and 6706
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6699 and 6706 by Prime method
- Least Common Multiple of 6699 and 6706 with GCF Formula
LCM of 6699 and 6706 is 6417642
Least common multiple can be found by multiplying the highest exponent prime factors of 6699 and 6706. First we will calculate the prime factors of 6699 and 6706.
Prime Factorization of 6699
| 3 | 6699 |
| 7 | 2233 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 6699 are 3, 7, 11,29. Prime factorization of 6699 in exponential form is:
6699 = 31×71×111×291
Prime Factorization of 6706
| 2 | 6706 |
| 7 | 3353 |
| 479 | 479 |
| 1 |
Prime factors of 6706 are 2, 7,479. Prime factorization of 6706 in exponential form is:
6706 = 21×71×4791
Now multiplying the highest exponent prime factors to calculate the LCM of 6699 and 6706.
LCM(6699,6706) = 21×31×71×111×291×4791
LCM(6699,6706) = 6417642
Factors of 6699
List of positive integer factors of 6699 that divides 6699 without a remainder.
1, 3, 7, 11, 21, 29, 33, 77, 87, 203, 231, 319, 609, 957, 2233, 6699
Factors of 6706
List of positive integer factors of 6706 that divides 6706 without a remainder.
1, 2, 7, 14, 479, 958, 3353, 6706
Least Common Multiple of 6699 and 6706 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6699 and 6706, than apply into the LCM equation.
GCF(6699,6706) = 7
LCM(6699,6706) = ( 6699 × 6706) / 7
LCM(6699,6706) = 44923494 / 7
LCM(6699,6706) = 6417642
Properties of LCM 6699 and 6706
(i) The LCM of 6706 and 6699 is associative
LCM of 6699 and 6706 = LCM of 6706 and 6699
Related Least Common Multiples of 6699
Related Least Common Multiples of 6706
Frequently Asked Questions on LCM of 6699 and 6706
1. What is the LCM of 6699 and 6706?
Answer: LCM of 6699 and 6706 is 6417642.
2. What are the Factors of 6699?
Answer: Factors of 6699 are 1, 3, 7, 11, 21, 29, 33, 77, 87, 203, 231, 319, 609, 957, 2233, 6699. There are 16 integers that are factors of 6699. The greatest factor of 6699 is 6699.
3. What are the Factors of 6706?
Answer: Factors of 6706 are 1, 2, 7, 14, 479, 958, 3353, 6706. There are 8 integers that are factors of 6706. The greatest factor of 6706 is 6706.
4. How to Find the LCM of 6699 and 6706?
Answer:
Least Common Multiple of 6699 and 6706 = 6417642
Step 1: Find the prime factorization of 6699
6699 = 3 x 7 x 11 x 29
Step 2: Find the prime factorization of 6706
6706 = 2 x 7 x 479
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6417642 = 2 x 3 x 7 x 11 x 29 x 479
Step 4: Therefore, the least common multiple of 6699 and 6706 is 6417642.