Least Common Multiple of 6695 and 6701
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 6701 the smallest integer that is 44863195 that is divisible by both numbers.
Least Common Multiple (LCM) of 6695 and 6701 is 44863195.
LCM(6695,6701) = 44863195
LCM of 6695 and 6701
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6695 and 6701 by Prime method
- Least Common Multiple of 6695 and 6701 with GCF Formula
LCM of 6695 and 6701 is 44863195
Least common multiple can be found by multiplying the highest exponent prime factors of 6695 and 6701. First we will calculate the prime factors of 6695 and 6701.
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 6701
| 6701 | 6701 |
| 1 |
Prime factors of 6701 are 6701. Prime factorization of 6701 in exponential form is:
6701 = 67011
Now multiplying the highest exponent prime factors to calculate the LCM of 6695 and 6701.
LCM(6695,6701) = 51×131×1031×67011
LCM(6695,6701) = 44863195
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 6701
List of positive integer factors of 6701 that divides 6701 without a remainder.
1, 6701
Least Common Multiple of 6695 and 6701 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 6701, than apply into the LCM equation.
GCF(6695,6701) = 1
LCM(6695,6701) = ( 6695 × 6701) / 1
LCM(6695,6701) = 44863195 / 1
LCM(6695,6701) = 44863195
Properties of LCM 6695 and 6701
(i) The LCM of 6701 and 6695 is associative
LCM of 6695 and 6701 = LCM of 6701 and 6695
Related Least Common Multiples of 6695
Related Least Common Multiples of 6701
Frequently Asked Questions on LCM of 6695 and 6701
1. What is the LCM of 6695 and 6701?
Answer: LCM of 6695 and 6701 is 44863195.
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 6701?
Answer: Factors of 6701 are 1, 6701. There are 2 integers that are factors of 6701. The greatest factor of 6701 is 6701.
4. How to Find the LCM of 6695 and 6701?
Answer:
Least Common Multiple of 6695 and 6701 = 44863195
Step 1: Find the prime factorization of 6695
6695 = 5 x 13 x 103
Step 2: Find the prime factorization of 6701
6701 = 6701
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44863195 = 5 x 13 x 103 x 6701
Step 4: Therefore, the least common multiple of 6695 and 6701 is 44863195.