Least Common Multiple of 2708 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 2708 and 2709 the smallest integer that is 7335972 that is divisible by both numbers.

Least Common Multiple (LCM) of 2708 and 2709 is 7335972.

LCM(2708,2709) = 7335972

LCM of 2708 and 2709

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

LCM of:
and

Least Common Multiple of 2708 and 2709

LCM of 2708 and 2709 is 7335972

Least common multiple can be found by multiplying the highest exponent prime factors of 2708 and 2709. First we will calculate the prime factors of 2708 and 2709.

Prime Factorization of 2708


2 2708
2 1354
677 677
1

Prime factors of 2708 are 2,677. Prime factorization of 2708 in exponential form is:

2708 = 22×6771

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 2708 and 2709.

LCM(2708,2709) = 22×32×71×431×6771
LCM(2708,2709) = 7335972

Factors of 2708

List of positive integer factors of 2708 that divides 2708 without a remainder.

1, 2, 4, 677, 1354, 2708

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 2708 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 2708 and 2709, than apply into the LCM equation.

GCF(2708,2709) = 1
LCM(2708,2709) = ( 2708 × 2709) / 1
LCM(2708,2709) = 7335972 / 1
LCM(2708,2709) = 7335972

Properties of LCM 2708 and 2709

(i) The LCM of 2709 and 2708 is associative

LCM of 2708 and 2709 = LCM of 2709 and 2708

Related Least Common Multiples of 2708

Related Least Common Multiples of 2709

Frequently Asked Questions on LCM of 2708 and 2709

1. What is the LCM of 2708 and 2709?

Answer: LCM of 2708 and 2709 is 7335972.

2. What are the Factors of 2708?

Answer: Factors of 2708 are 1, 2, 4, 677, 1354, 2708. There are 6 integers that are factors of 2708. The greatest factor of 2708 is 2708.

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 2708 and 2709?

Answer:

Least Common Multiple of 2708 and 2709 = 7335972

Step 1: Find the prime factorization of 2708

2708 = 2 x 2 x 677

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 = 7335972 = 2 x 2 x 3 x 3 x 7 x 43 x 677

Step 4: Therefore, the least common multiple of 2708 and 2709 is 7335972.