Least Common Multiple of 6699 and 6707
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 6707 the smallest integer that is 44930193 that is divisible by both numbers.
Least Common Multiple (LCM) of 6699 and 6707 is 44930193.
LCM(6699,6707) = 44930193
LCM of 6699 and 6707
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6699 and 6707 by Prime method
- Least Common Multiple of 6699 and 6707 with GCF Formula
LCM of 6699 and 6707 is 44930193
Least common multiple can be found by multiplying the highest exponent prime factors of 6699 and 6707. First we will calculate the prime factors of 6699 and 6707.
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 6707
| 19 | 6707 |
| 353 | 353 |
| 1 |
Prime factors of 6707 are 19,353. Prime factorization of 6707 in exponential form is:
6707 = 191×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 6699 and 6707.
LCM(6699,6707) = 31×71×111×191×291×3531
LCM(6699,6707) = 44930193
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 6707
List of positive integer factors of 6707 that divides 6707 without a remainder.
1, 19, 353, 6707
Least Common Multiple of 6699 and 6707 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 6707, than apply into the LCM equation.
GCF(6699,6707) = 1
LCM(6699,6707) = ( 6699 × 6707) / 1
LCM(6699,6707) = 44930193 / 1
LCM(6699,6707) = 44930193
Properties of LCM 6699 and 6707
(i) The LCM of 6707 and 6699 is associative
LCM of 6699 and 6707 = LCM of 6707 and 6699
Related Least Common Multiples of 6699
Related Least Common Multiples of 6707
Frequently Asked Questions on LCM of 6699 and 6707
1. What is the LCM of 6699 and 6707?
Answer: LCM of 6699 and 6707 is 44930193.
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 6707?
Answer: Factors of 6707 are 1, 19, 353, 6707. There are 4 integers that are factors of 6707. The greatest factor of 6707 is 6707.
4. How to Find the LCM of 6699 and 6707?
Answer:
Least Common Multiple of 6699 and 6707 = 44930193
Step 1: Find the prime factorization of 6699
6699 = 3 x 7 x 11 x 29
Step 2: Find the prime factorization of 6707
6707 = 19 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44930193 = 3 x 7 x 11 x 19 x 29 x 353
Step 4: Therefore, the least common multiple of 6699 and 6707 is 44930193.