Least Common Multiple of 1709 and 1717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1709 and 1717 the smallest integer that is 2934353 that is divisible by both numbers.

Least Common Multiple (LCM) of 1709 and 1717 is 2934353.

LCM(1709,1717) = 2934353

LCM of 1709 and 1717

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1709 and 1717

LCM of 1709 and 1717 is 2934353

Least common multiple can be found by multiplying the highest exponent prime factors of 1709 and 1717. First we will calculate the prime factors of 1709 and 1717.

Prime Factorization of 1709


1709 1709
1

Prime factors of 1709 are 1709. Prime factorization of 1709 in exponential form is:

1709 = 17091

Prime Factorization of 1717


17 1717
101 101
1

Prime factors of 1717 are 17,101. Prime factorization of 1717 in exponential form is:

1717 = 171×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1709 and 1717.

LCM(1709,1717) = 171×1011×17091
LCM(1709,1717) = 2934353

Factors of 1709

List of positive integer factors of 1709 that divides 1709 without a remainder.

1, 1709

Factors of 1717

List of positive integer factors of 1717 that divides 1717 without a remainder.

1, 17, 101, 1717

Least Common Multiple of 1709 and 1717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1709 and 1717, than apply into the LCM equation.

GCF(1709,1717) = 1
LCM(1709,1717) = ( 1709 × 1717) / 1
LCM(1709,1717) = 2934353 / 1
LCM(1709,1717) = 2934353

Properties of LCM 1709 and 1717

(i) The LCM of 1717 and 1709 is associative

LCM of 1709 and 1717 = LCM of 1717 and 1709

Related Least Common Multiples of 1709

Related Least Common Multiples of 1717

Frequently Asked Questions on LCM of 1709 and 1717

1. What is the LCM of 1709 and 1717?

Answer: LCM of 1709 and 1717 is 2934353.

2. 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.

3. What are the Factors of 1717?

Answer: Factors of 1717 are 1, 17, 101, 1717. There are 4 integers that are factors of 1717. The greatest factor of 1717 is 1717.

4. How to Find the LCM of 1709 and 1717?

Answer:

Least Common Multiple of 1709 and 1717 = 2934353

Step 1: Find the prime factorization of 1709

1709 = 1709

Step 2: Find the prime factorization of 1717

1717 = 17 x 101

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2934353 = 17 x 101 x 1709

Step 4: Therefore, the least common multiple of 1709 and 1717 is 2934353.