Least Common Multiple of 2708 and 2710

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 2710 the smallest integer that is 3669340 that is divisible by both numbers.

Least Common Multiple (LCM) of 2708 and 2710 is 3669340.

LCM(2708,2710) = 3669340

LCM of 2708 and 2710

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

LCM of:
and

Least Common Multiple of 2708 and 2710

LCM of 2708 and 2710 is 3669340

Least common multiple can be found by multiplying the highest exponent prime factors of 2708 and 2710. First we will calculate the prime factors of 2708 and 2710.

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 2710


2 2710
5 1355
271 271
1

Prime factors of 2710 are 2, 5,271. Prime factorization of 2710 in exponential form is:

2710 = 21×51×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 2708 and 2710.

LCM(2708,2710) = 22×51×2711×6771
LCM(2708,2710) = 3669340

Factors of 2708

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

1, 2, 4, 677, 1354, 2708

Factors of 2710

List of positive integer factors of 2710 that divides 2710 without a remainder.

1, 2, 5, 10, 271, 542, 1355, 2710

Least Common Multiple of 2708 and 2710 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 2710, than apply into the LCM equation.

GCF(2708,2710) = 2
LCM(2708,2710) = ( 2708 × 2710) / 2
LCM(2708,2710) = 7338680 / 2
LCM(2708,2710) = 3669340

Properties of LCM 2708 and 2710

(i) The LCM of 2710 and 2708 is associative

LCM of 2708 and 2710 = LCM of 2710 and 2708

Frequently Asked Questions on LCM of 2708 and 2710

1. What is the LCM of 2708 and 2710?

Answer: LCM of 2708 and 2710 is 3669340.

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 2710?

Answer: Factors of 2710 are 1, 2, 5, 10, 271, 542, 1355, 2710. There are 8 integers that are factors of 2710. The greatest factor of 2710 is 2710.

4. How to Find the LCM of 2708 and 2710?

Answer:

Least Common Multiple of 2708 and 2710 = 3669340

Step 1: Find the prime factorization of 2708

2708 = 2 x 2 x 677

Step 2: Find the prime factorization of 2710

2710 = 2 x 5 x 271

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

LCM = 3669340 = 2 x 2 x 5 x 271 x 677

Step 4: Therefore, the least common multiple of 2708 and 2710 is 3669340.