Least Common Multiple of 2821 and 2828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2821 and 2828 the smallest integer that is 1139684 that is divisible by both numbers.

Least Common Multiple (LCM) of 2821 and 2828 is 1139684.

LCM(2821,2828) = 1139684

LCM of 2821 and 2828

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

LCM of:
and

Least Common Multiple of 2821 and 2828

LCM of 2821 and 2828 is 1139684

Least common multiple can be found by multiplying the highest exponent prime factors of 2821 and 2828. First we will calculate the prime factors of 2821 and 2828.

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

Prime Factorization of 2828


2 2828
2 1414
7 707
101 101
1

Prime factors of 2828 are 2, 7,101. Prime factorization of 2828 in exponential form is:

2828 = 22×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 2821 and 2828.

LCM(2821,2828) = 22×71×131×311×1011
LCM(2821,2828) = 1139684

Factors of 2821

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

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

Factors of 2828

List of positive integer factors of 2828 that divides 2828 without a remainder.

1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828

Least Common Multiple of 2821 and 2828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2821 and 2828, than apply into the LCM equation.

GCF(2821,2828) = 7
LCM(2821,2828) = ( 2821 × 2828) / 7
LCM(2821,2828) = 7977788 / 7
LCM(2821,2828) = 1139684

Properties of LCM 2821 and 2828

(i) The LCM of 2828 and 2821 is associative

LCM of 2821 and 2828 = LCM of 2828 and 2821

Related Least Common Multiples of 2821

Related Least Common Multiples of 2828

Frequently Asked Questions on LCM of 2821 and 2828

1. What is the LCM of 2821 and 2828?

Answer: LCM of 2821 and 2828 is 1139684.

2. 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.

3. What are the Factors of 2828?

Answer: Factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828. There are 12 integers that are factors of 2828. The greatest factor of 2828 is 2828.

4. How to Find the LCM of 2821 and 2828?

Answer:

Least Common Multiple of 2821 and 2828 = 1139684

Step 1: Find the prime factorization of 2821

2821 = 7 x 13 x 31

Step 2: Find the prime factorization of 2828

2828 = 2 x 2 x 7 x 101

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

LCM = 1139684 = 2 x 2 x 7 x 13 x 31 x 101

Step 4: Therefore, the least common multiple of 2821 and 2828 is 1139684.