Least Common Multiple of 2716 and 2723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2716 and 2723 the smallest integer that is 1056524 that is divisible by both numbers.

Least Common Multiple (LCM) of 2716 and 2723 is 1056524.

LCM(2716,2723) = 1056524

LCM of 2716 and 2723

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

LCM of:
and

Least Common Multiple of 2716 and 2723

LCM of 2716 and 2723 is 1056524

Least common multiple can be found by multiplying the highest exponent prime factors of 2716 and 2723. First we will calculate the prime factors of 2716 and 2723.

Prime Factorization of 2716


2 2716
2 1358
7 679
97 97
1

Prime factors of 2716 are 2, 7,97. Prime factorization of 2716 in exponential form is:

2716 = 22×71×971

Prime Factorization of 2723


7 2723
389 389
1

Prime factors of 2723 are 7,389. Prime factorization of 2723 in exponential form is:

2723 = 71×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 2716 and 2723.

LCM(2716,2723) = 22×71×971×3891
LCM(2716,2723) = 1056524

Factors of 2716

List of positive integer factors of 2716 that divides 2716 without a remainder.

1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716

Factors of 2723

List of positive integer factors of 2723 that divides 2723 without a remainder.

1, 7, 389, 2723

Least Common Multiple of 2716 and 2723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2716 and 2723, than apply into the LCM equation.

GCF(2716,2723) = 7
LCM(2716,2723) = ( 2716 × 2723) / 7
LCM(2716,2723) = 7395668 / 7
LCM(2716,2723) = 1056524

Properties of LCM 2716 and 2723

(i) The LCM of 2723 and 2716 is associative

LCM of 2716 and 2723 = LCM of 2723 and 2716

Related Least Common Multiples of 2716

Related Least Common Multiples of 2723

Frequently Asked Questions on LCM of 2716 and 2723

1. What is the LCM of 2716 and 2723?

Answer: LCM of 2716 and 2723 is 1056524.

2. What are the Factors of 2716?

Answer: Factors of 2716 are 1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716. There are 12 integers that are factors of 2716. The greatest factor of 2716 is 2716.

3. What are the Factors of 2723?

Answer: Factors of 2723 are 1, 7, 389, 2723. There are 4 integers that are factors of 2723. The greatest factor of 2723 is 2723.

4. How to Find the LCM of 2716 and 2723?

Answer:

Least Common Multiple of 2716 and 2723 = 1056524

Step 1: Find the prime factorization of 2716

2716 = 2 x 2 x 7 x 97

Step 2: Find the prime factorization of 2723

2723 = 7 x 389

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

LCM = 1056524 = 2 x 2 x 7 x 97 x 389

Step 4: Therefore, the least common multiple of 2716 and 2723 is 1056524.