Least Common Multiple of 6695 and 6699
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6695 and 6699 the smallest integer that is 44849805 that is divisible by both numbers.
Least Common Multiple (LCM) of 6695 and 6699 is 44849805.
LCM(6695,6699) = 44849805
LCM of 6695 and 6699
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6695 and 6699 by Prime method
- Least Common Multiple of 6695 and 6699 with GCF Formula
LCM of 6695 and 6699 is 44849805
Least common multiple can be found by multiplying the highest exponent prime factors of 6695 and 6699. First we will calculate the prime factors of 6695 and 6699.
Prime Factorization of 6695
| 5 | 6695 |
| 13 | 1339 |
| 103 | 103 |
| 1 |
Prime factors of 6695 are 5, 13,103. Prime factorization of 6695 in exponential form is:
6695 = 51×131×1031
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6695 and 6699.
LCM(6695,6699) = 31×51×71×111×131×291×1031
LCM(6695,6699) = 44849805
Factors of 6695
List of positive integer factors of 6695 that divides 6695 without a remainder.
1, 5, 13, 65, 103, 515, 1339, 6695
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
Least Common Multiple of 6695 and 6699 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6695 and 6699, than apply into the LCM equation.
GCF(6695,6699) = 1
LCM(6695,6699) = ( 6695 × 6699) / 1
LCM(6695,6699) = 44849805 / 1
LCM(6695,6699) = 44849805
Properties of LCM 6695 and 6699
(i) The LCM of 6699 and 6695 is associative
LCM of 6695 and 6699 = LCM of 6699 and 6695
Related Least Common Multiples of 6695
Related Least Common Multiples of 6699
Frequently Asked Questions on LCM of 6695 and 6699
1. What is the LCM of 6695 and 6699?
Answer: LCM of 6695 and 6699 is 44849805.
2. What are the Factors of 6695?
Answer: Factors of 6695 are 1, 5, 13, 65, 103, 515, 1339, 6695. There are 8 integers that are factors of 6695. The greatest factor of 6695 is 6695.
3. 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.
4. How to Find the LCM of 6695 and 6699?
Answer:
Least Common Multiple of 6695 and 6699 = 44849805
Step 1: Find the prime factorization of 6695
6695 = 5 x 13 x 103
Step 2: Find the prime factorization of 6699
6699 = 3 x 7 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44849805 = 3 x 5 x 7 x 11 x 13 x 29 x 103
Step 4: Therefore, the least common multiple of 6695 and 6699 is 44849805.