Least Common Multiple of 2715 and 2721

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 2721 the smallest integer that is 2462505 that is divisible by both numbers.

Least Common Multiple (LCM) of 2715 and 2721 is 2462505.

LCM(2715,2721) = 2462505

LCM of 2715 and 2721

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

LCM of:
and

Least Common Multiple of 2715 and 2721

LCM of 2715 and 2721 is 2462505

Least common multiple can be found by multiplying the highest exponent prime factors of 2715 and 2721. First we will calculate the prime factors of 2715 and 2721.

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 2721


3 2721
907 907
1

Prime factors of 2721 are 3,907. Prime factorization of 2721 in exponential form is:

2721 = 31×9071

Now multiplying the highest exponent prime factors to calculate the LCM of 2715 and 2721.

LCM(2715,2721) = 31×51×1811×9071
LCM(2715,2721) = 2462505

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 2721

List of positive integer factors of 2721 that divides 2721 without a remainder.

1, 3, 907, 2721

Least Common Multiple of 2715 and 2721 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 2721, than apply into the LCM equation.

GCF(2715,2721) = 3
LCM(2715,2721) = ( 2715 × 2721) / 3
LCM(2715,2721) = 7387515 / 3
LCM(2715,2721) = 2462505

Properties of LCM 2715 and 2721

(i) The LCM of 2721 and 2715 is associative

LCM of 2715 and 2721 = LCM of 2721 and 2715

Related Least Common Multiples of 2715

Related Least Common Multiples of 2721

Frequently Asked Questions on LCM of 2715 and 2721

1. What is the LCM of 2715 and 2721?

Answer: LCM of 2715 and 2721 is 2462505.

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 2721?

Answer: Factors of 2721 are 1, 3, 907, 2721. There are 4 integers that are factors of 2721. The greatest factor of 2721 is 2721.

4. How to Find the LCM of 2715 and 2721?

Answer:

Least Common Multiple of 2715 and 2721 = 2462505

Step 1: Find the prime factorization of 2715

2715 = 3 x 5 x 181

Step 2: Find the prime factorization of 2721

2721 = 3 x 907

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

LCM = 2462505 = 3 x 5 x 181 x 907

Step 4: Therefore, the least common multiple of 2715 and 2721 is 2462505.