Least Common Multiple of 1709 and 1713

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 1713 the smallest integer that is 2927517 that is divisible by both numbers.

Least Common Multiple (LCM) of 1709 and 1713 is 2927517.

LCM(1709,1713) = 2927517

LCM of 1709 and 1713

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

LCM of:
and

Least Common Multiple of 1709 and 1713

LCM of 1709 and 1713 is 2927517

Least common multiple can be found by multiplying the highest exponent prime factors of 1709 and 1713. First we will calculate the prime factors of 1709 and 1713.

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 1713


3 1713
571 571
1

Prime factors of 1713 are 3,571. Prime factorization of 1713 in exponential form is:

1713 = 31×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 1709 and 1713.

LCM(1709,1713) = 31×5711×17091
LCM(1709,1713) = 2927517

Factors of 1709

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

1, 1709

Factors of 1713

List of positive integer factors of 1713 that divides 1713 without a remainder.

1, 3, 571, 1713

Least Common Multiple of 1709 and 1713 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 1713, than apply into the LCM equation.

GCF(1709,1713) = 1
LCM(1709,1713) = ( 1709 × 1713) / 1
LCM(1709,1713) = 2927517 / 1
LCM(1709,1713) = 2927517

Properties of LCM 1709 and 1713

(i) The LCM of 1713 and 1709 is associative

LCM of 1709 and 1713 = LCM of 1713 and 1709

Related Least Common Multiples of 1709

Related Least Common Multiples of 1713

Frequently Asked Questions on LCM of 1709 and 1713

1. What is the LCM of 1709 and 1713?

Answer: LCM of 1709 and 1713 is 2927517.

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 1713?

Answer: Factors of 1713 are 1, 3, 571, 1713. There are 4 integers that are factors of 1713. The greatest factor of 1713 is 1713.

4. How to Find the LCM of 1709 and 1713?

Answer:

Least Common Multiple of 1709 and 1713 = 2927517

Step 1: Find the prime factorization of 1709

1709 = 1709

Step 2: Find the prime factorization of 1713

1713 = 3 x 571

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

LCM = 2927517 = 3 x 571 x 1709

Step 4: Therefore, the least common multiple of 1709 and 1713 is 2927517.