Least Common Multiple of 6697 and 6705
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6697 and 6705 the smallest integer that is 44903385 that is divisible by both numbers.
Least Common Multiple (LCM) of 6697 and 6705 is 44903385.
LCM(6697,6705) = 44903385
LCM of 6697 and 6705
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6697 and 6705 by Prime method
- Least Common Multiple of 6697 and 6705 with GCF Formula
LCM of 6697 and 6705 is 44903385
Least common multiple can be found by multiplying the highest exponent prime factors of 6697 and 6705. First we will calculate the prime factors of 6697 and 6705.
Prime Factorization of 6697
| 37 | 6697 |
| 181 | 181 |
| 1 |
Prime factors of 6697 are 37,181. Prime factorization of 6697 in exponential form is:
6697 = 371×1811
Prime Factorization of 6705
| 3 | 6705 |
| 3 | 2235 |
| 5 | 745 |
| 149 | 149 |
| 1 |
Prime factors of 6705 are 3, 5,149. Prime factorization of 6705 in exponential form is:
6705 = 32×51×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 6697 and 6705.
LCM(6697,6705) = 32×51×371×1491×1811
LCM(6697,6705) = 44903385
Factors of 6697
List of positive integer factors of 6697 that divides 6697 without a remainder.
1, 37, 181, 6697
Factors of 6705
List of positive integer factors of 6705 that divides 6705 without a remainder.
1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705
Least Common Multiple of 6697 and 6705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6697 and 6705, than apply into the LCM equation.
GCF(6697,6705) = 1
LCM(6697,6705) = ( 6697 × 6705) / 1
LCM(6697,6705) = 44903385 / 1
LCM(6697,6705) = 44903385
Properties of LCM 6697 and 6705
(i) The LCM of 6705 and 6697 is associative
LCM of 6697 and 6705 = LCM of 6705 and 6697
Related Least Common Multiples of 6697
Related Least Common Multiples of 6705
Frequently Asked Questions on LCM of 6697 and 6705
1. What is the LCM of 6697 and 6705?
Answer: LCM of 6697 and 6705 is 44903385.
2. What are the Factors of 6697?
Answer: Factors of 6697 are 1, 37, 181, 6697. There are 4 integers that are factors of 6697. The greatest factor of 6697 is 6697.
3. What are the Factors of 6705?
Answer: Factors of 6705 are 1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705. There are 12 integers that are factors of 6705. The greatest factor of 6705 is 6705.
4. How to Find the LCM of 6697 and 6705?
Answer:
Least Common Multiple of 6697 and 6705 = 44903385
Step 1: Find the prime factorization of 6697
6697 = 37 x 181
Step 2: Find the prime factorization of 6705
6705 = 3 x 3 x 5 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44903385 = 3 x 3 x 5 x 37 x 149 x 181
Step 4: Therefore, the least common multiple of 6697 and 6705 is 44903385.