Least Common Multiple of 2704 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 2704 and 2710 the smallest integer that is 3663920 that is divisible by both numbers.

Least Common Multiple (LCM) of 2704 and 2710 is 3663920.

LCM(2704,2710) = 3663920

LCM of 2704 and 2710

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

LCM of:
and

Least Common Multiple of 2704 and 2710

LCM of 2704 and 2710 is 3663920

Least common multiple can be found by multiplying the highest exponent prime factors of 2704 and 2710. First we will calculate the prime factors of 2704 and 2710.

Prime Factorization of 2704


2 2704
2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 2704 are 2,13. Prime factorization of 2704 in exponential form is:

2704 = 24×132

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 2704 and 2710.

LCM(2704,2710) = 24×51×132×2711
LCM(2704,2710) = 3663920

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704

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 2704 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 2704 and 2710, than apply into the LCM equation.

GCF(2704,2710) = 2
LCM(2704,2710) = ( 2704 × 2710) / 2
LCM(2704,2710) = 7327840 / 2
LCM(2704,2710) = 3663920

Properties of LCM 2704 and 2710

(i) The LCM of 2710 and 2704 is associative

LCM of 2704 and 2710 = LCM of 2710 and 2704

Related Least Common Multiples of 2704

Related Least Common Multiples of 2710

Frequently Asked Questions on LCM of 2704 and 2710

1. What is the LCM of 2704 and 2710?

Answer: LCM of 2704 and 2710 is 3663920.

2. What are the Factors of 2704?

Answer: Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. There are 15 integers that are factors of 2704. The greatest factor of 2704 is 2704.

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 2704 and 2710?

Answer:

Least Common Multiple of 2704 and 2710 = 3663920

Step 1: Find the prime factorization of 2704

2704 = 2 x 2 x 2 x 2 x 13 x 13

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 = 3663920 = 2 x 2 x 2 x 2 x 5 x 13 x 13 x 271

Step 4: Therefore, the least common multiple of 2704 and 2710 is 3663920.