Least Common Multiple of 2699 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 2699 and 2704 the smallest integer that is 7298096 that is divisible by both numbers.

Least Common Multiple (LCM) of 2699 and 2704 is 7298096.

LCM(2699,2704) = 7298096

LCM of 2699 and 2704

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

LCM of:
and

Least Common Multiple of 2699 and 2704

LCM of 2699 and 2704 is 7298096

Least common multiple can be found by multiplying the highest exponent prime factors of 2699 and 2704. First we will calculate the prime factors of 2699 and 2704.

Prime Factorization of 2699


2699 2699
1

Prime factors of 2699 are 2699. Prime factorization of 2699 in exponential form is:

2699 = 26991

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 2699 and 2704.

LCM(2699,2704) = 24×132×26991
LCM(2699,2704) = 7298096

Factors of 2699

List of positive integer factors of 2699 that divides 2699 without a remainder.

1, 2699

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 2699 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 2699 and 2704, than apply into the LCM equation.

GCF(2699,2704) = 1
LCM(2699,2704) = ( 2699 × 2704) / 1
LCM(2699,2704) = 7298096 / 1
LCM(2699,2704) = 7298096

Properties of LCM 2699 and 2704

(i) The LCM of 2704 and 2699 is associative

LCM of 2699 and 2704 = LCM of 2704 and 2699

Related Least Common Multiples of 2699

Related Least Common Multiples of 2704

Frequently Asked Questions on LCM of 2699 and 2704

1. What is the LCM of 2699 and 2704?

Answer: LCM of 2699 and 2704 is 7298096.

2. What are the Factors of 2699?

Answer: Factors of 2699 are 1, 2699. There are 2 integers that are factors of 2699. The greatest factor of 2699 is 2699.

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 2699 and 2704?

Answer:

Least Common Multiple of 2699 and 2704 = 7298096

Step 1: Find the prime factorization of 2699

2699 = 2699

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 = 7298096 = 2 x 2 x 2 x 2 x 13 x 13 x 2699

Step 4: Therefore, the least common multiple of 2699 and 2704 is 7298096.