Least Common Multiple of 6698 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 6698 and 6699 the smallest integer that is 44869902 that is divisible by both numbers.
Least Common Multiple (LCM) of 6698 and 6699 is 44869902.
LCM(6698,6699) = 44869902
LCM of 6698 and 6699
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6698 and 6699 by Prime method
- Least Common Multiple of 6698 and 6699 with GCF Formula
LCM of 6698 and 6699 is 44869902
Least common multiple can be found by multiplying the highest exponent prime factors of 6698 and 6699. First we will calculate the prime factors of 6698 and 6699.
Prime Factorization of 6698
| 2 | 6698 |
| 17 | 3349 |
| 197 | 197 |
| 1 |
Prime factors of 6698 are 2, 17,197. Prime factorization of 6698 in exponential form is:
6698 = 21×171×1971
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 6698 and 6699.
LCM(6698,6699) = 21×31×71×111×171×291×1971
LCM(6698,6699) = 44869902
Factors of 6698
List of positive integer factors of 6698 that divides 6698 without a remainder.
1, 2, 17, 34, 197, 394, 3349, 6698
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 6698 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 6698 and 6699, than apply into the LCM equation.
GCF(6698,6699) = 1
LCM(6698,6699) = ( 6698 × 6699) / 1
LCM(6698,6699) = 44869902 / 1
LCM(6698,6699) = 44869902
Properties of LCM 6698 and 6699
(i) The LCM of 6699 and 6698 is associative
LCM of 6698 and 6699 = LCM of 6699 and 6698
Related Least Common Multiples of 6698
Related Least Common Multiples of 6699
Frequently Asked Questions on LCM of 6698 and 6699
1. What is the LCM of 6698 and 6699?
Answer: LCM of 6698 and 6699 is 44869902.
2. What are the Factors of 6698?
Answer: Factors of 6698 are 1, 2, 17, 34, 197, 394, 3349, 6698. There are 8 integers that are factors of 6698. The greatest factor of 6698 is 6698.
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 6698 and 6699?
Answer:
Least Common Multiple of 6698 and 6699 = 44869902
Step 1: Find the prime factorization of 6698
6698 = 2 x 17 x 197
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 = 44869902 = 2 x 3 x 7 x 11 x 17 x 29 x 197
Step 4: Therefore, the least common multiple of 6698 and 6699 is 44869902.