Least Common Multiple of 2836 and 2843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2836 and 2843 the smallest integer that is 8062748 that is divisible by both numbers.

Least Common Multiple (LCM) of 2836 and 2843 is 8062748.

LCM(2836,2843) = 8062748

LCM of 2836 and 2843

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

LCM of:
and

Least Common Multiple of 2836 and 2843

LCM of 2836 and 2843 is 8062748

Least common multiple can be found by multiplying the highest exponent prime factors of 2836 and 2843. First we will calculate the prime factors of 2836 and 2843.

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

Prime Factorization of 2843


2843 2843
1

Prime factors of 2843 are 2843. Prime factorization of 2843 in exponential form is:

2843 = 28431

Now multiplying the highest exponent prime factors to calculate the LCM of 2836 and 2843.

LCM(2836,2843) = 22×7091×28431
LCM(2836,2843) = 8062748

Factors of 2836

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

1, 2, 4, 709, 1418, 2836

Factors of 2843

List of positive integer factors of 2843 that divides 2843 without a remainder.

1, 2843

Least Common Multiple of 2836 and 2843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2836 and 2843, than apply into the LCM equation.

GCF(2836,2843) = 1
LCM(2836,2843) = ( 2836 × 2843) / 1
LCM(2836,2843) = 8062748 / 1
LCM(2836,2843) = 8062748

Properties of LCM 2836 and 2843

(i) The LCM of 2843 and 2836 is associative

LCM of 2836 and 2843 = LCM of 2843 and 2836

Related Least Common Multiples of 2836

Related Least Common Multiples of 2843

Frequently Asked Questions on LCM of 2836 and 2843

1. What is the LCM of 2836 and 2843?

Answer: LCM of 2836 and 2843 is 8062748.

2. 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.

3. What are the Factors of 2843?

Answer: Factors of 2843 are 1, 2843. There are 2 integers that are factors of 2843. The greatest factor of 2843 is 2843.

4. How to Find the LCM of 2836 and 2843?

Answer:

Least Common Multiple of 2836 and 2843 = 8062748

Step 1: Find the prime factorization of 2836

2836 = 2 x 2 x 709

Step 2: Find the prime factorization of 2843

2843 = 2843

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

LCM = 8062748 = 2 x 2 x 709 x 2843

Step 4: Therefore, the least common multiple of 2836 and 2843 is 8062748.