Least Common Multiple of 6699 and 6703
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 6703 the smallest integer that is 44903397 that is divisible by both numbers.
Least Common Multiple (LCM) of 6699 and 6703 is 44903397.
LCM(6699,6703) = 44903397
LCM of 6699 and 6703
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6699 and 6703 by Prime method
- Least Common Multiple of 6699 and 6703 with GCF Formula
LCM of 6699 and 6703 is 44903397
Least common multiple can be found by multiplying the highest exponent prime factors of 6699 and 6703. First we will calculate the prime factors of 6699 and 6703.
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 6703
| 6703 | 6703 |
| 1 |
Prime factors of 6703 are 6703. Prime factorization of 6703 in exponential form is:
6703 = 67031
Now multiplying the highest exponent prime factors to calculate the LCM of 6699 and 6703.
LCM(6699,6703) = 31×71×111×291×67031
LCM(6699,6703) = 44903397
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 6703
List of positive integer factors of 6703 that divides 6703 without a remainder.
1, 6703
Least Common Multiple of 6699 and 6703 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 6703, than apply into the LCM equation.
GCF(6699,6703) = 1
LCM(6699,6703) = ( 6699 × 6703) / 1
LCM(6699,6703) = 44903397 / 1
LCM(6699,6703) = 44903397
Properties of LCM 6699 and 6703
(i) The LCM of 6703 and 6699 is associative
LCM of 6699 and 6703 = LCM of 6703 and 6699
Related Least Common Multiples of 6699
Related Least Common Multiples of 6703
Frequently Asked Questions on LCM of 6699 and 6703
1. What is the LCM of 6699 and 6703?
Answer: LCM of 6699 and 6703 is 44903397.
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 6703?
Answer: Factors of 6703 are 1, 6703. There are 2 integers that are factors of 6703. The greatest factor of 6703 is 6703.
4. How to Find the LCM of 6699 and 6703?
Answer:
Least Common Multiple of 6699 and 6703 = 44903397
Step 1: Find the prime factorization of 6699
6699 = 3 x 7 x 11 x 29
Step 2: Find the prime factorization of 6703
6703 = 6703
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44903397 = 3 x 7 x 11 x 29 x 6703
Step 4: Therefore, the least common multiple of 6699 and 6703 is 44903397.