Least Common Multiple of 695 and 703
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 703 the smallest integer that is 488585 that is divisible by both numbers.
Least Common Multiple (LCM) of 695 and 703 is 488585.
LCM(695,703) = 488585
LCM of 695 and 703
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 695 and 703 by Prime method
- Least Common Multiple of 695 and 703 with GCF Formula
LCM of 695 and 703 is 488585
Least common multiple can be found by multiplying the highest exponent prime factors of 695 and 703. First we will calculate the prime factors of 695 and 703.
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 703
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 703 are 19,37. Prime factorization of 703 in exponential form is:
703 = 191×371
Now multiplying the highest exponent prime factors to calculate the LCM of 695 and 703.
LCM(695,703) = 51×191×371×1391
LCM(695,703) = 488585
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Least Common Multiple of 695 and 703 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 703, than apply into the LCM equation.
GCF(695,703) = 1
LCM(695,703) = ( 695 × 703) / 1
LCM(695,703) = 488585 / 1
LCM(695,703) = 488585
Properties of LCM 695 and 703
(i) The LCM of 703 and 695 is associative
LCM of 695 and 703 = LCM of 703 and 695
Related Least Common Multiples of 695
Related Least Common Multiples of 703
Frequently Asked Questions on LCM of 695 and 703
1. What is the LCM of 695 and 703?
Answer: LCM of 695 and 703 is 488585.
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 703?
Answer: Factors of 703 are 1, 19, 37, 703. There are 4 integers that are factors of 703. The greatest factor of 703 is 703.
4. How to Find the LCM of 695 and 703?
Answer:
Least Common Multiple of 695 and 703 = 488585
Step 1: Find the prime factorization of 695
695 = 5 x 139
Step 2: Find the prime factorization of 703
703 = 19 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 488585 = 5 x 19 x 37 x 139
Step 4: Therefore, the least common multiple of 695 and 703 is 488585.