Least Common Multiple of 2828 and 2833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2828 and 2833 the smallest integer that is 8011724 that is divisible by both numbers.

Least Common Multiple (LCM) of 2828 and 2833 is 8011724.

LCM(2828,2833) = 8011724

LCM of 2828 and 2833

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

LCM of:
and

Least Common Multiple of 2828 and 2833

LCM of 2828 and 2833 is 8011724

Least common multiple can be found by multiplying the highest exponent prime factors of 2828 and 2833. First we will calculate the prime factors of 2828 and 2833.

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

Prime Factorization of 2833


2833 2833
1

Prime factors of 2833 are 2833. Prime factorization of 2833 in exponential form is:

2833 = 28331

Now multiplying the highest exponent prime factors to calculate the LCM of 2828 and 2833.

LCM(2828,2833) = 22×71×1011×28331
LCM(2828,2833) = 8011724

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

Factors of 2833

List of positive integer factors of 2833 that divides 2833 without a remainder.

1, 2833

Least Common Multiple of 2828 and 2833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2828 and 2833, than apply into the LCM equation.

GCF(2828,2833) = 1
LCM(2828,2833) = ( 2828 × 2833) / 1
LCM(2828,2833) = 8011724 / 1
LCM(2828,2833) = 8011724

Properties of LCM 2828 and 2833

(i) The LCM of 2833 and 2828 is associative

LCM of 2828 and 2833 = LCM of 2833 and 2828

Related Least Common Multiples of 2828

Related Least Common Multiples of 2833

Frequently Asked Questions on LCM of 2828 and 2833

1. What is the LCM of 2828 and 2833?

Answer: LCM of 2828 and 2833 is 8011724.

2. 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.

3. What are the Factors of 2833?

Answer: Factors of 2833 are 1, 2833. There are 2 integers that are factors of 2833. The greatest factor of 2833 is 2833.

4. How to Find the LCM of 2828 and 2833?

Answer:

Least Common Multiple of 2828 and 2833 = 8011724

Step 1: Find the prime factorization of 2828

2828 = 2 x 2 x 7 x 101

Step 2: Find the prime factorization of 2833

2833 = 2833

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

LCM = 8011724 = 2 x 2 x 7 x 101 x 2833

Step 4: Therefore, the least common multiple of 2828 and 2833 is 8011724.