Least Common Multiple of 695 and 697
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 695 and 697 the smallest integer that is 484415 that is divisible by both numbers.
Least Common Multiple (LCM) of 695 and 697 is 484415.
LCM(695,697) = 484415
LCM of 695 and 697
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 695 and 697 by Prime method
- Least Common Multiple of 695 and 697 with GCF Formula
LCM of 695 and 697 is 484415
Least common multiple can be found by multiplying the highest exponent prime factors of 695 and 697. First we will calculate the prime factors of 695 and 697.
Prime Factorization of 695
| 5 | 695 |
| 139 | 139 |
| 1 |
Prime factors of 695 are 5,139. Prime factorization of 695 in exponential form is:
695 = 51×1391
Prime Factorization of 697
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 697 are 17,41. Prime factorization of 697 in exponential form is:
697 = 171×411
Now multiplying the highest exponent prime factors to calculate the LCM of 695 and 697.
LCM(695,697) = 51×171×411×1391
LCM(695,697) = 484415
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Least Common Multiple of 695 and 697 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 695 and 697, than apply into the LCM equation.
GCF(695,697) = 1
LCM(695,697) = ( 695 × 697) / 1
LCM(695,697) = 484415 / 1
LCM(695,697) = 484415
Properties of LCM 695 and 697
(i) The LCM of 697 and 695 is associative
LCM of 695 and 697 = LCM of 697 and 695
Related Least Common Multiples of 695
Related Least Common Multiples of 697
Frequently Asked Questions on LCM of 695 and 697
1. What is the LCM of 695 and 697?
Answer: LCM of 695 and 697 is 484415.
2. What are the Factors of 695?
Answer: Factors of 695 are 1, 5, 139, 695. There are 4 integers that are factors of 695. The greatest factor of 695 is 695.
3. What are the Factors of 697?
Answer: Factors of 697 are 1, 17, 41, 697. There are 4 integers that are factors of 697. The greatest factor of 697 is 697.
4. How to Find the LCM of 695 and 697?
Answer:
Least Common Multiple of 695 and 697 = 484415
Step 1: Find the prime factorization of 695
695 = 5 x 139
Step 2: Find the prime factorization of 697
697 = 17 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 484415 = 5 x 17 x 41 x 139
Step 4: Therefore, the least common multiple of 695 and 697 is 484415.