Least Common Multiple of 2706 and 2709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2706 and 2709 the smallest integer that is 2443518 that is divisible by both numbers.

Least Common Multiple (LCM) of 2706 and 2709 is 2443518.

LCM(2706,2709) = 2443518

LCM of 2706 and 2709

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

LCM of:
and

Least Common Multiple of 2706 and 2709

LCM of 2706 and 2709 is 2443518

Least common multiple can be found by multiplying the highest exponent prime factors of 2706 and 2709. First we will calculate the prime factors of 2706 and 2709.

Prime Factorization of 2706


2 2706
3 1353
11 451
41 41
1

Prime factors of 2706 are 2, 3, 11,41. Prime factorization of 2706 in exponential form is:

2706 = 21×31×111×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2706 and 2709.

LCM(2706,2709) = 21×32×71×111×411×431
LCM(2706,2709) = 2443518

Factors of 2706

List of positive integer factors of 2706 that divides 2706 without a remainder.

1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706

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

Least Common Multiple of 2706 and 2709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2706 and 2709, than apply into the LCM equation.

GCF(2706,2709) = 3
LCM(2706,2709) = ( 2706 × 2709) / 3
LCM(2706,2709) = 7330554 / 3
LCM(2706,2709) = 2443518

Properties of LCM 2706 and 2709

(i) The LCM of 2709 and 2706 is associative

LCM of 2706 and 2709 = LCM of 2709 and 2706

Related Least Common Multiples of 2706

Related Least Common Multiples of 2709

Frequently Asked Questions on LCM of 2706 and 2709

1. What is the LCM of 2706 and 2709?

Answer: LCM of 2706 and 2709 is 2443518.

2. What are the Factors of 2706?

Answer: Factors of 2706 are 1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706. There are 16 integers that are factors of 2706. The greatest factor of 2706 is 2706.

3. 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.

4. How to Find the LCM of 2706 and 2709?

Answer:

Least Common Multiple of 2706 and 2709 = 2443518

Step 1: Find the prime factorization of 2706

2706 = 2 x 3 x 11 x 41

Step 2: Find the prime factorization of 2709

2709 = 3 x 3 x 7 x 43

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

LCM = 2443518 = 2 x 3 x 3 x 7 x 11 x 41 x 43

Step 4: Therefore, the least common multiple of 2706 and 2709 is 2443518.