Least Common Multiple of 1705 and 1709
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1705 and 1709 the smallest integer that is 2913845 that is divisible by both numbers.
Least Common Multiple (LCM) of 1705 and 1709 is 2913845.
LCM(1705,1709) = 2913845
LCM of 1705 and 1709
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1705 and 1709 by Prime method
- Least Common Multiple of 1705 and 1709 with GCF Formula
LCM of 1705 and 1709 is 2913845
Least common multiple can be found by multiplying the highest exponent prime factors of 1705 and 1709. First we will calculate the prime factors of 1705 and 1709.
Prime Factorization of 1705
| 5 | 1705 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 1705 are 5, 11,31. Prime factorization of 1705 in exponential form is:
1705 = 51×111×311
Prime Factorization of 1709
| 1709 | 1709 |
| 1 |
Prime factors of 1709 are 1709. Prime factorization of 1709 in exponential form is:
1709 = 17091
Now multiplying the highest exponent prime factors to calculate the LCM of 1705 and 1709.
LCM(1705,1709) = 51×111×311×17091
LCM(1705,1709) = 2913845
Factors of 1705
List of positive integer factors of 1705 that divides 1705 without a remainder.
1, 5, 11, 31, 55, 155, 341, 1705
Factors of 1709
List of positive integer factors of 1709 that divides 1709 without a remainder.
1, 1709
Least Common Multiple of 1705 and 1709 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1705 and 1709, than apply into the LCM equation.
GCF(1705,1709) = 1
LCM(1705,1709) = ( 1705 × 1709) / 1
LCM(1705,1709) = 2913845 / 1
LCM(1705,1709) = 2913845
Properties of LCM 1705 and 1709
(i) The LCM of 1709 and 1705 is associative
LCM of 1705 and 1709 = LCM of 1709 and 1705
Related Least Common Multiples of 1705
Related Least Common Multiples of 1709
Frequently Asked Questions on LCM of 1705 and 1709
1. What is the LCM of 1705 and 1709?
Answer: LCM of 1705 and 1709 is 2913845.
2. What are the Factors of 1705?
Answer: Factors of 1705 are 1, 5, 11, 31, 55, 155, 341, 1705. There are 8 integers that are factors of 1705. The greatest factor of 1705 is 1705.
3. What are the Factors of 1709?
Answer: Factors of 1709 are 1, 1709. There are 2 integers that are factors of 1709. The greatest factor of 1709 is 1709.
4. How to Find the LCM of 1705 and 1709?
Answer:
Least Common Multiple of 1705 and 1709 = 2913845
Step 1: Find the prime factorization of 1705
1705 = 5 x 11 x 31
Step 2: Find the prime factorization of 1709
1709 = 1709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2913845 = 5 x 11 x 31 x 1709
Step 4: Therefore, the least common multiple of 1705 and 1709 is 2913845.