Least Common Multiple of 2715 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 2715 and 2723 the smallest integer that is 7392945 that is divisible by both numbers.

Least Common Multiple (LCM) of 2715 and 2723 is 7392945.

LCM(2715,2723) = 7392945

LCM of 2715 and 2723

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

LCM of:
and

Least Common Multiple of 2715 and 2723

LCM of 2715 and 2723 is 7392945

Least common multiple can be found by multiplying the highest exponent prime factors of 2715 and 2723. First we will calculate the prime factors of 2715 and 2723.

Prime Factorization of 2715


3 2715
5 905
181 181
1

Prime factors of 2715 are 3, 5,181. Prime factorization of 2715 in exponential form is:

2715 = 31×51×1811

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 2715 and 2723.

LCM(2715,2723) = 31×51×71×1811×3891
LCM(2715,2723) = 7392945

Factors of 2715

List of positive integer factors of 2715 that divides 2715 without a remainder.

1, 3, 5, 15, 181, 543, 905, 2715

Factors of 2723

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

1, 7, 389, 2723

Least Common Multiple of 2715 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 2715 and 2723, than apply into the LCM equation.

GCF(2715,2723) = 1
LCM(2715,2723) = ( 2715 × 2723) / 1
LCM(2715,2723) = 7392945 / 1
LCM(2715,2723) = 7392945

Properties of LCM 2715 and 2723

(i) The LCM of 2723 and 2715 is associative

LCM of 2715 and 2723 = LCM of 2723 and 2715

Related Least Common Multiples of 2715

Related Least Common Multiples of 2723

Frequently Asked Questions on LCM of 2715 and 2723

1. What is the LCM of 2715 and 2723?

Answer: LCM of 2715 and 2723 is 7392945.

2. What are the Factors of 2715?

Answer: Factors of 2715 are 1, 3, 5, 15, 181, 543, 905, 2715. There are 8 integers that are factors of 2715. The greatest factor of 2715 is 2715.

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 2715 and 2723?

Answer:

Least Common Multiple of 2715 and 2723 = 7392945

Step 1: Find the prime factorization of 2715

2715 = 3 x 5 x 181

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 = 7392945 = 3 x 5 x 7 x 181 x 389

Step 4: Therefore, the least common multiple of 2715 and 2723 is 7392945.