Least Common Multiple of 2824 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 2824 and 2828 the smallest integer that is 1996568 that is divisible by both numbers.

Least Common Multiple (LCM) of 2824 and 2828 is 1996568.

LCM(2824,2828) = 1996568

LCM of 2824 and 2828

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

LCM of:
and

Least Common Multiple of 2824 and 2828

LCM of 2824 and 2828 is 1996568

Least common multiple can be found by multiplying the highest exponent prime factors of 2824 and 2828. First we will calculate the prime factors of 2824 and 2828.

Prime Factorization of 2824


2 2824
2 1412
2 706
353 353
1

Prime factors of 2824 are 2,353. Prime factorization of 2824 in exponential form is:

2824 = 23×3531

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 2824 and 2828.

LCM(2824,2828) = 23×71×1011×3531
LCM(2824,2828) = 1996568

Factors of 2824

List of positive integer factors of 2824 that divides 2824 without a remainder.

1, 2, 4, 8, 353, 706, 1412, 2824

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 2824 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 2824 and 2828, than apply into the LCM equation.

GCF(2824,2828) = 4
LCM(2824,2828) = ( 2824 × 2828) / 4
LCM(2824,2828) = 7986272 / 4
LCM(2824,2828) = 1996568

Properties of LCM 2824 and 2828

(i) The LCM of 2828 and 2824 is associative

LCM of 2824 and 2828 = LCM of 2828 and 2824

Related Least Common Multiples of 2824

Related Least Common Multiples of 2828

Frequently Asked Questions on LCM of 2824 and 2828

1. What is the LCM of 2824 and 2828?

Answer: LCM of 2824 and 2828 is 1996568.

2. What are the Factors of 2824?

Answer: Factors of 2824 are 1, 2, 4, 8, 353, 706, 1412, 2824. There are 8 integers that are factors of 2824. The greatest factor of 2824 is 2824.

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 2824 and 2828?

Answer:

Least Common Multiple of 2824 and 2828 = 1996568

Step 1: Find the prime factorization of 2824

2824 = 2 x 2 x 2 x 353

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 = 1996568 = 2 x 2 x 2 x 7 x 101 x 353

Step 4: Therefore, the least common multiple of 2824 and 2828 is 1996568.