Least Common Multiple of 2709 and 2713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2709 and 2713 the smallest integer that is 7349517 that is divisible by both numbers.

Least Common Multiple (LCM) of 2709 and 2713 is 7349517.

LCM(2709,2713) = 7349517

LCM of 2709 and 2713

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

LCM of:
and

Least Common Multiple of 2709 and 2713

LCM of 2709 and 2713 is 7349517

Least common multiple can be found by multiplying the highest exponent prime factors of 2709 and 2713. First we will calculate the prime factors of 2709 and 2713.

Prime Factorization of 2709


3 2709
3 903
7 301
43 43
1

Prime factors of 2709 are 3, 7,43. Prime factorization of 2709 in exponential form is:

2709 = 32×71×431

Prime Factorization of 2713


2713 2713
1

Prime factors of 2713 are 2713. Prime factorization of 2713 in exponential form is:

2713 = 27131

Now multiplying the highest exponent prime factors to calculate the LCM of 2709 and 2713.

LCM(2709,2713) = 32×71×431×27131
LCM(2709,2713) = 7349517

Factors of 2709

List of positive integer factors of 2709 that divides 2709 without a remainder.

1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903, 2709

Factors of 2713

List of positive integer factors of 2713 that divides 2713 without a remainder.

1, 2713

Least Common Multiple of 2709 and 2713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2709 and 2713, than apply into the LCM equation.

GCF(2709,2713) = 1
LCM(2709,2713) = ( 2709 × 2713) / 1
LCM(2709,2713) = 7349517 / 1
LCM(2709,2713) = 7349517

Properties of LCM 2709 and 2713

(i) The LCM of 2713 and 2709 is associative

LCM of 2709 and 2713 = LCM of 2713 and 2709

Related Least Common Multiples of 2709

Related Least Common Multiples of 2713

Frequently Asked Questions on LCM of 2709 and 2713

1. What is the LCM of 2709 and 2713?

Answer: LCM of 2709 and 2713 is 7349517.

2. What are the Factors of 2709?

Answer: Factors of 2709 are 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903, 2709. There are 12 integers that are factors of 2709. The greatest factor of 2709 is 2709.

3. What are the Factors of 2713?

Answer: Factors of 2713 are 1, 2713. There are 2 integers that are factors of 2713. The greatest factor of 2713 is 2713.

4. How to Find the LCM of 2709 and 2713?

Answer:

Least Common Multiple of 2709 and 2713 = 7349517

Step 1: Find the prime factorization of 2709

2709 = 3 x 3 x 7 x 43

Step 2: Find the prime factorization of 2713

2713 = 2713

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

LCM = 7349517 = 3 x 3 x 7 x 43 x 2713

Step 4: Therefore, the least common multiple of 2709 and 2713 is 7349517.