Least Common Multiple of 1707 and 1711
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1707 and 1711 the smallest integer that is 2920677 that is divisible by both numbers.
Least Common Multiple (LCM) of 1707 and 1711 is 2920677.
LCM(1707,1711) = 2920677
LCM of 1707 and 1711
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1707 and 1711 by Prime method
- Least Common Multiple of 1707 and 1711 with GCF Formula
LCM of 1707 and 1711 is 2920677
Least common multiple can be found by multiplying the highest exponent prime factors of 1707 and 1711. First we will calculate the prime factors of 1707 and 1711.
Prime Factorization of 1707
| 3 | 1707 |
| 569 | 569 |
| 1 |
Prime factors of 1707 are 3,569. Prime factorization of 1707 in exponential form is:
1707 = 31×5691
Prime Factorization of 1711
| 29 | 1711 |
| 59 | 59 |
| 1 |
Prime factors of 1711 are 29,59. Prime factorization of 1711 in exponential form is:
1711 = 291×591
Now multiplying the highest exponent prime factors to calculate the LCM of 1707 and 1711.
LCM(1707,1711) = 31×291×591×5691
LCM(1707,1711) = 2920677
Factors of 1707
List of positive integer factors of 1707 that divides 1707 without a remainder.
1, 3, 569, 1707
Factors of 1711
List of positive integer factors of 1711 that divides 1711 without a remainder.
1, 29, 59, 1711
Least Common Multiple of 1707 and 1711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1707 and 1711, than apply into the LCM equation.
GCF(1707,1711) = 1
LCM(1707,1711) = ( 1707 × 1711) / 1
LCM(1707,1711) = 2920677 / 1
LCM(1707,1711) = 2920677
Properties of LCM 1707 and 1711
(i) The LCM of 1711 and 1707 is associative
LCM of 1707 and 1711 = LCM of 1711 and 1707
Related Least Common Multiples of 1707
Related Least Common Multiples of 1711
Frequently Asked Questions on LCM of 1707 and 1711
1. What is the LCM of 1707 and 1711?
Answer: LCM of 1707 and 1711 is 2920677.
2. What are the Factors of 1707?
Answer: Factors of 1707 are 1, 3, 569, 1707. There are 4 integers that are factors of 1707. The greatest factor of 1707 is 1707.
3. What are the Factors of 1711?
Answer: Factors of 1711 are 1, 29, 59, 1711. There are 4 integers that are factors of 1711. The greatest factor of 1711 is 1711.
4. How to Find the LCM of 1707 and 1711?
Answer:
Least Common Multiple of 1707 and 1711 = 2920677
Step 1: Find the prime factorization of 1707
1707 = 3 x 569
Step 2: Find the prime factorization of 1711
1711 = 29 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2920677 = 3 x 29 x 59 x 569
Step 4: Therefore, the least common multiple of 1707 and 1711 is 2920677.
