Least Common Multiple of 2696 and 2704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2696 and 2704 the smallest integer that is 911248 that is divisible by both numbers.

Least Common Multiple (LCM) of 2696 and 2704 is 911248.

LCM(2696,2704) = 911248

LCM of 2696 and 2704

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

LCM of:
and

Least Common Multiple of 2696 and 2704

LCM of 2696 and 2704 is 911248

Least common multiple can be found by multiplying the highest exponent prime factors of 2696 and 2704. First we will calculate the prime factors of 2696 and 2704.

Prime Factorization of 2696


2 2696
2 1348
2 674
337 337
1

Prime factors of 2696 are 2,337. Prime factorization of 2696 in exponential form is:

2696 = 23×3371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2696 and 2704.

LCM(2696,2704) = 24×132×3371
LCM(2696,2704) = 911248

Factors of 2696

List of positive integer factors of 2696 that divides 2696 without a remainder.

1, 2, 4, 8, 337, 674, 1348, 2696

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

Least Common Multiple of 2696 and 2704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2696 and 2704, than apply into the LCM equation.

GCF(2696,2704) = 8
LCM(2696,2704) = ( 2696 × 2704) / 8
LCM(2696,2704) = 7289984 / 8
LCM(2696,2704) = 911248

Properties of LCM 2696 and 2704

(i) The LCM of 2704 and 2696 is associative

LCM of 2696 and 2704 = LCM of 2704 and 2696

Related Least Common Multiples of 2696

Related Least Common Multiples of 2704

Frequently Asked Questions on LCM of 2696 and 2704

1. What is the LCM of 2696 and 2704?

Answer: LCM of 2696 and 2704 is 911248.

2. What are the Factors of 2696?

Answer: Factors of 2696 are 1, 2, 4, 8, 337, 674, 1348, 2696. There are 8 integers that are factors of 2696. The greatest factor of 2696 is 2696.

3. 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.

4. How to Find the LCM of 2696 and 2704?

Answer:

Least Common Multiple of 2696 and 2704 = 911248

Step 1: Find the prime factorization of 2696

2696 = 2 x 2 x 2 x 337

Step 2: Find the prime factorization of 2704

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

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

LCM = 911248 = 2 x 2 x 2 x 2 x 13 x 13 x 337

Step 4: Therefore, the least common multiple of 2696 and 2704 is 911248.