Least Common Multiple of 2823 and 2829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2823 and 2829 the smallest integer that is 2662089 that is divisible by both numbers.

Least Common Multiple (LCM) of 2823 and 2829 is 2662089.

LCM(2823,2829) = 2662089

LCM of 2823 and 2829

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

LCM of:
and

Least Common Multiple of 2823 and 2829

LCM of 2823 and 2829 is 2662089

Least common multiple can be found by multiplying the highest exponent prime factors of 2823 and 2829. First we will calculate the prime factors of 2823 and 2829.

Prime Factorization of 2823


3 2823
941 941
1

Prime factors of 2823 are 3,941. Prime factorization of 2823 in exponential form is:

2823 = 31×9411

Prime Factorization of 2829


3 2829
23 943
41 41
1

Prime factors of 2829 are 3, 23,41. Prime factorization of 2829 in exponential form is:

2829 = 31×231×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2823 and 2829.

LCM(2823,2829) = 31×231×411×9411
LCM(2823,2829) = 2662089

Factors of 2823

List of positive integer factors of 2823 that divides 2823 without a remainder.

1, 3, 941, 2823

Factors of 2829

List of positive integer factors of 2829 that divides 2829 without a remainder.

1, 3, 23, 41, 69, 123, 943, 2829

Least Common Multiple of 2823 and 2829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2823 and 2829, than apply into the LCM equation.

GCF(2823,2829) = 3
LCM(2823,2829) = ( 2823 × 2829) / 3
LCM(2823,2829) = 7986267 / 3
LCM(2823,2829) = 2662089

Properties of LCM 2823 and 2829

(i) The LCM of 2829 and 2823 is associative

LCM of 2823 and 2829 = LCM of 2829 and 2823

Related Least Common Multiples of 2823

Related Least Common Multiples of 2829

Frequently Asked Questions on LCM of 2823 and 2829

1. What is the LCM of 2823 and 2829?

Answer: LCM of 2823 and 2829 is 2662089.

2. What are the Factors of 2823?

Answer: Factors of 2823 are 1, 3, 941, 2823. There are 4 integers that are factors of 2823. The greatest factor of 2823 is 2823.

3. What are the Factors of 2829?

Answer: Factors of 2829 are 1, 3, 23, 41, 69, 123, 943, 2829. There are 8 integers that are factors of 2829. The greatest factor of 2829 is 2829.

4. How to Find the LCM of 2823 and 2829?

Answer:

Least Common Multiple of 2823 and 2829 = 2662089

Step 1: Find the prime factorization of 2823

2823 = 3 x 941

Step 2: Find the prime factorization of 2829

2829 = 3 x 23 x 41

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

LCM = 2662089 = 3 x 23 x 41 x 941

Step 4: Therefore, the least common multiple of 2823 and 2829 is 2662089.