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 1709 the smallest integer that is 2917263 that is divisible by both numbers.
Least Common Multiple (LCM) of 1707 and 1709 is 2917263.
LCM(1707,1709) = 2917263
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1707 and 1709. First we will calculate the prime factors of 1707 and 1709.
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 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 1707 and 1709.
LCM(1707,1709) = 31×5691×17091
LCM(1707,1709) = 2917263
Factors of 1707
List of positive integer factors of 1707 that divides 1707 without a remainder.
1, 3, 569, 1707
Factors of 1709
List of positive integer factors of 1709 that divides 1709 without a remainder.
1, 1709
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1707 and 1709, than apply into the LCM equation.
GCF(1707,1709) = 1
LCM(1707,1709) = ( 1707 × 1709) / 1
LCM(1707,1709) = 2917263 / 1
LCM(1707,1709) = 2917263
(i) The LCM of 1709 and 1707 is associative
LCM of 1707 and 1709 = LCM of 1709 and 1707
1. What is the LCM of 1707 and 1709?
Answer: LCM of 1707 and 1709 is 2917263.
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 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 1707 and 1709?
Answer:
Least Common Multiple of 1707 and 1709 = 2917263
Step 1: Find the prime factorization of 1707
1707 = 3 x 569
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 = 2917263 = 3 x 569 x 1709
Step 4: Therefore, the least common multiple of 1707 and 1709 is 2917263.