Least Common Multiple of 2829 and 2836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2829 and 2836 the smallest integer that is 8023044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2829 and 2836 is 8023044.

LCM(2829,2836) = 8023044

LCM of 2829 and 2836

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

LCM of:
and

Least Common Multiple of 2829 and 2836

LCM of 2829 and 2836 is 8023044

Least common multiple can be found by multiplying the highest exponent prime factors of 2829 and 2836. First we will calculate the prime factors of 2829 and 2836.

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

Prime Factorization of 2836


2 2836
2 1418
709 709
1

Prime factors of 2836 are 2,709. Prime factorization of 2836 in exponential form is:

2836 = 22×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 2829 and 2836.

LCM(2829,2836) = 22×31×231×411×7091
LCM(2829,2836) = 8023044

Factors of 2829

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

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

Factors of 2836

List of positive integer factors of 2836 that divides 2836 without a remainder.

1, 2, 4, 709, 1418, 2836

Least Common Multiple of 2829 and 2836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2829 and 2836, than apply into the LCM equation.

GCF(2829,2836) = 1
LCM(2829,2836) = ( 2829 × 2836) / 1
LCM(2829,2836) = 8023044 / 1
LCM(2829,2836) = 8023044

Properties of LCM 2829 and 2836

(i) The LCM of 2836 and 2829 is associative

LCM of 2829 and 2836 = LCM of 2836 and 2829

Related Least Common Multiples of 2829

Related Least Common Multiples of 2836

Frequently Asked Questions on LCM of 2829 and 2836

1. What is the LCM of 2829 and 2836?

Answer: LCM of 2829 and 2836 is 8023044.

2. 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.

3. What are the Factors of 2836?

Answer: Factors of 2836 are 1, 2, 4, 709, 1418, 2836. There are 6 integers that are factors of 2836. The greatest factor of 2836 is 2836.

4. How to Find the LCM of 2829 and 2836?

Answer:

Least Common Multiple of 2829 and 2836 = 8023044

Step 1: Find the prime factorization of 2829

2829 = 3 x 23 x 41

Step 2: Find the prime factorization of 2836

2836 = 2 x 2 x 709

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

LCM = 8023044 = 2 x 2 x 3 x 23 x 41 x 709

Step 4: Therefore, the least common multiple of 2829 and 2836 is 8023044.