Least Common Multiple of 2815 and 2821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2815 and 2821 the smallest integer that is 7941115 that is divisible by both numbers.

Least Common Multiple (LCM) of 2815 and 2821 is 7941115.

LCM(2815,2821) = 7941115

LCM of 2815 and 2821

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

LCM of:
and

Least Common Multiple of 2815 and 2821

LCM of 2815 and 2821 is 7941115

Least common multiple can be found by multiplying the highest exponent prime factors of 2815 and 2821. First we will calculate the prime factors of 2815 and 2821.

Prime Factorization of 2815


5 2815
563 563
1

Prime factors of 2815 are 5,563. Prime factorization of 2815 in exponential form is:

2815 = 51×5631

Prime Factorization of 2821


7 2821
13 403
31 31
1

Prime factors of 2821 are 7, 13,31. Prime factorization of 2821 in exponential form is:

2821 = 71×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2815 and 2821.

LCM(2815,2821) = 51×71×131×311×5631
LCM(2815,2821) = 7941115

Factors of 2815

List of positive integer factors of 2815 that divides 2815 without a remainder.

1, 5, 563, 2815

Factors of 2821

List of positive integer factors of 2821 that divides 2821 without a remainder.

1, 7, 13, 31, 91, 217, 403, 2821

Least Common Multiple of 2815 and 2821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2815 and 2821, than apply into the LCM equation.

GCF(2815,2821) = 1
LCM(2815,2821) = ( 2815 × 2821) / 1
LCM(2815,2821) = 7941115 / 1
LCM(2815,2821) = 7941115

Properties of LCM 2815 and 2821

(i) The LCM of 2821 and 2815 is associative

LCM of 2815 and 2821 = LCM of 2821 and 2815

Related Least Common Multiples of 2815

Related Least Common Multiples of 2821

Frequently Asked Questions on LCM of 2815 and 2821

1. What is the LCM of 2815 and 2821?

Answer: LCM of 2815 and 2821 is 7941115.

2. What are the Factors of 2815?

Answer: Factors of 2815 are 1, 5, 563, 2815. There are 4 integers that are factors of 2815. The greatest factor of 2815 is 2815.

3. What are the Factors of 2821?

Answer: Factors of 2821 are 1, 7, 13, 31, 91, 217, 403, 2821. There are 8 integers that are factors of 2821. The greatest factor of 2821 is 2821.

4. How to Find the LCM of 2815 and 2821?

Answer:

Least Common Multiple of 2815 and 2821 = 7941115

Step 1: Find the prime factorization of 2815

2815 = 5 x 563

Step 2: Find the prime factorization of 2821

2821 = 7 x 13 x 31

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

LCM = 7941115 = 5 x 7 x 13 x 31 x 563

Step 4: Therefore, the least common multiple of 2815 and 2821 is 7941115.