Least Common Multiple of 2709 and 2714

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 2714 the smallest integer that is 7352226 that is divisible by both numbers.

Least Common Multiple (LCM) of 2709 and 2714 is 7352226.

LCM(2709,2714) = 7352226

LCM of 2709 and 2714

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

LCM of:
and

Least Common Multiple of 2709 and 2714

LCM of 2709 and 2714 is 7352226

Least common multiple can be found by multiplying the highest exponent prime factors of 2709 and 2714. First we will calculate the prime factors of 2709 and 2714.

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 2714


2 2714
23 1357
59 59
1

Prime factors of 2714 are 2, 23,59. Prime factorization of 2714 in exponential form is:

2714 = 21×231×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2709 and 2714.

LCM(2709,2714) = 21×32×71×231×431×591
LCM(2709,2714) = 7352226

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 2714

List of positive integer factors of 2714 that divides 2714 without a remainder.

1, 2, 23, 46, 59, 118, 1357, 2714

Least Common Multiple of 2709 and 2714 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 2714, than apply into the LCM equation.

GCF(2709,2714) = 1
LCM(2709,2714) = ( 2709 × 2714) / 1
LCM(2709,2714) = 7352226 / 1
LCM(2709,2714) = 7352226

Properties of LCM 2709 and 2714

(i) The LCM of 2714 and 2709 is associative

LCM of 2709 and 2714 = LCM of 2714 and 2709

Related Least Common Multiples of 2709

Related Least Common Multiples of 2714

Frequently Asked Questions on LCM of 2709 and 2714

1. What is the LCM of 2709 and 2714?

Answer: LCM of 2709 and 2714 is 7352226.

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 2714?

Answer: Factors of 2714 are 1, 2, 23, 46, 59, 118, 1357, 2714. There are 8 integers that are factors of 2714. The greatest factor of 2714 is 2714.

4. How to Find the LCM of 2709 and 2714?

Answer:

Least Common Multiple of 2709 and 2714 = 7352226

Step 1: Find the prime factorization of 2709

2709 = 3 x 3 x 7 x 43

Step 2: Find the prime factorization of 2714

2714 = 2 x 23 x 59

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

LCM = 7352226 = 2 x 3 x 3 x 7 x 23 x 43 x 59

Step 4: Therefore, the least common multiple of 2709 and 2714 is 7352226.