Least Common Multiple of 3695 and 3703
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3695 and 3703 the smallest integer that is 13682585 that is divisible by both numbers.
Least Common Multiple (LCM) of 3695 and 3703 is 13682585.
LCM(3695,3703) = 13682585
LCM of 3695 and 3703
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3695 and 3703 by Prime method
- Least Common Multiple of 3695 and 3703 with GCF Formula
LCM of 3695 and 3703 is 13682585
Least common multiple can be found by multiplying the highest exponent prime factors of 3695 and 3703. First we will calculate the prime factors of 3695 and 3703.
Prime Factorization of 3695
| 5 | 3695 |
| 739 | 739 |
| 1 |
Prime factors of 3695 are 5,739. Prime factorization of 3695 in exponential form is:
3695 = 51×7391
Prime Factorization of 3703
| 7 | 3703 |
| 23 | 529 |
| 23 | 23 |
| 1 |
Prime factors of 3703 are 7,23. Prime factorization of 3703 in exponential form is:
3703 = 71×232
Now multiplying the highest exponent prime factors to calculate the LCM of 3695 and 3703.
LCM(3695,3703) = 51×71×232×7391
LCM(3695,3703) = 13682585
Factors of 3695
List of positive integer factors of 3695 that divides 3695 without a remainder.
1, 5, 739, 3695
Factors of 3703
List of positive integer factors of 3703 that divides 3703 without a remainder.
1, 7, 23, 161, 529, 3703
Least Common Multiple of 3695 and 3703 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3695 and 3703, than apply into the LCM equation.
GCF(3695,3703) = 1
LCM(3695,3703) = ( 3695 × 3703) / 1
LCM(3695,3703) = 13682585 / 1
LCM(3695,3703) = 13682585
Properties of LCM 3695 and 3703
(i) The LCM of 3703 and 3695 is associative
LCM of 3695 and 3703 = LCM of 3703 and 3695
Related Least Common Multiples of 3695
Related Least Common Multiples of 3703
Frequently Asked Questions on LCM of 3695 and 3703
1. What is the LCM of 3695 and 3703?
Answer: LCM of 3695 and 3703 is 13682585.
2. What are the Factors of 3695?
Answer: Factors of 3695 are 1, 5, 739, 3695. There are 4 integers that are factors of 3695. The greatest factor of 3695 is 3695.
3. What are the Factors of 3703?
Answer: Factors of 3703 are 1, 7, 23, 161, 529, 3703. There are 6 integers that are factors of 3703. The greatest factor of 3703 is 3703.
4. How to Find the LCM of 3695 and 3703?
Answer:
Least Common Multiple of 3695 and 3703 = 13682585
Step 1: Find the prime factorization of 3695
3695 = 5 x 739
Step 2: Find the prime factorization of 3703
3703 = 7 x 23 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13682585 = 5 x 7 x 23 x 23 x 739
Step 4: Therefore, the least common multiple of 3695 and 3703 is 13682585.