Least Common Multiple of 1695 and 1703
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1695 and 1703 the smallest integer that is 2886585 that is divisible by both numbers.
Least Common Multiple (LCM) of 1695 and 1703 is 2886585.
LCM(1695,1703) = 2886585
LCM of 1695 and 1703
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1695 and 1703 by Prime method
- Least Common Multiple of 1695 and 1703 with GCF Formula
LCM of 1695 and 1703 is 2886585
Least common multiple can be found by multiplying the highest exponent prime factors of 1695 and 1703. First we will calculate the prime factors of 1695 and 1703.
Prime Factorization of 1695
| 3 | 1695 |
| 5 | 565 |
| 113 | 113 |
| 1 |
Prime factors of 1695 are 3, 5,113. Prime factorization of 1695 in exponential form is:
1695 = 31×51×1131
Prime Factorization of 1703
| 13 | 1703 |
| 131 | 131 |
| 1 |
Prime factors of 1703 are 13,131. Prime factorization of 1703 in exponential form is:
1703 = 131×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 1695 and 1703.
LCM(1695,1703) = 31×51×131×1131×1311
LCM(1695,1703) = 2886585
Factors of 1695
List of positive integer factors of 1695 that divides 1695 without a remainder.
1, 3, 5, 15, 113, 339, 565, 1695
Factors of 1703
List of positive integer factors of 1703 that divides 1703 without a remainder.
1, 13, 131, 1703
Least Common Multiple of 1695 and 1703 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1695 and 1703, than apply into the LCM equation.
GCF(1695,1703) = 1
LCM(1695,1703) = ( 1695 × 1703) / 1
LCM(1695,1703) = 2886585 / 1
LCM(1695,1703) = 2886585
Properties of LCM 1695 and 1703
(i) The LCM of 1703 and 1695 is associative
LCM of 1695 and 1703 = LCM of 1703 and 1695
Related Least Common Multiples of 1695
Related Least Common Multiples of 1703
Frequently Asked Questions on LCM of 1695 and 1703
1. What is the LCM of 1695 and 1703?
Answer: LCM of 1695 and 1703 is 2886585.
2. What are the Factors of 1695?
Answer: Factors of 1695 are 1, 3, 5, 15, 113, 339, 565, 1695. There are 8 integers that are factors of 1695. The greatest factor of 1695 is 1695.
3. What are the Factors of 1703?
Answer: Factors of 1703 are 1, 13, 131, 1703. There are 4 integers that are factors of 1703. The greatest factor of 1703 is 1703.
4. How to Find the LCM of 1695 and 1703?
Answer:
Least Common Multiple of 1695 and 1703 = 2886585
Step 1: Find the prime factorization of 1695
1695 = 3 x 5 x 113
Step 2: Find the prime factorization of 1703
1703 = 13 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2886585 = 3 x 5 x 13 x 113 x 131
Step 4: Therefore, the least common multiple of 1695 and 1703 is 2886585.