Least Common Multiple of 2709 and 2711

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 2711 the smallest integer that is 7344099 that is divisible by both numbers.

Least Common Multiple (LCM) of 2709 and 2711 is 7344099.

LCM(2709,2711) = 7344099

LCM of 2709 and 2711

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

LCM of:
and

Least Common Multiple of 2709 and 2711

LCM of 2709 and 2711 is 7344099

Least common multiple can be found by multiplying the highest exponent prime factors of 2709 and 2711. First we will calculate the prime factors of 2709 and 2711.

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 2711


2711 2711
1

Prime factors of 2711 are 2711. Prime factorization of 2711 in exponential form is:

2711 = 27111

Now multiplying the highest exponent prime factors to calculate the LCM of 2709 and 2711.

LCM(2709,2711) = 32×71×431×27111
LCM(2709,2711) = 7344099

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 2711

List of positive integer factors of 2711 that divides 2711 without a remainder.

1, 2711

Least Common Multiple of 2709 and 2711 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 2711, than apply into the LCM equation.

GCF(2709,2711) = 1
LCM(2709,2711) = ( 2709 × 2711) / 1
LCM(2709,2711) = 7344099 / 1
LCM(2709,2711) = 7344099

Properties of LCM 2709 and 2711

(i) The LCM of 2711 and 2709 is associative

LCM of 2709 and 2711 = LCM of 2711 and 2709

Related Least Common Multiples of 2709

Related Least Common Multiples of 2711

Frequently Asked Questions on LCM of 2709 and 2711

1. What is the LCM of 2709 and 2711?

Answer: LCM of 2709 and 2711 is 7344099.

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 2711?

Answer: Factors of 2711 are 1, 2711. There are 2 integers that are factors of 2711. The greatest factor of 2711 is 2711.

4. How to Find the LCM of 2709 and 2711?

Answer:

Least Common Multiple of 2709 and 2711 = 7344099

Step 1: Find the prime factorization of 2709

2709 = 3 x 3 x 7 x 43

Step 2: Find the prime factorization of 2711

2711 = 2711

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

LCM = 7344099 = 3 x 3 x 7 x 43 x 2711

Step 4: Therefore, the least common multiple of 2709 and 2711 is 7344099.