Least Common Multiple of 2836 and 2844

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 2844 the smallest integer that is 2016396 that is divisible by both numbers.

Least Common Multiple (LCM) of 2836 and 2844 is 2016396.

LCM(2836,2844) = 2016396

LCM of 2836 and 2844

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

LCM of:
and

Least Common Multiple of 2836 and 2844

LCM of 2836 and 2844 is 2016396

Least common multiple can be found by multiplying the highest exponent prime factors of 2836 and 2844. First we will calculate the prime factors of 2836 and 2844.

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 2844


2 2844
2 1422
3 711
3 237
79 79
1

Prime factors of 2844 are 2, 3,79. Prime factorization of 2844 in exponential form is:

2844 = 22×32×791

Now multiplying the highest exponent prime factors to calculate the LCM of 2836 and 2844.

LCM(2836,2844) = 22×32×791×7091
LCM(2836,2844) = 2016396

Factors of 2836

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

1, 2, 4, 709, 1418, 2836

Factors of 2844

List of positive integer factors of 2844 that divides 2844 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 79, 158, 237, 316, 474, 711, 948, 1422, 2844

Least Common Multiple of 2836 and 2844 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 2844, than apply into the LCM equation.

GCF(2836,2844) = 4
LCM(2836,2844) = ( 2836 × 2844) / 4
LCM(2836,2844) = 8065584 / 4
LCM(2836,2844) = 2016396

Properties of LCM 2836 and 2844

(i) The LCM of 2844 and 2836 is associative

LCM of 2836 and 2844 = LCM of 2844 and 2836

Related Least Common Multiples of 2836

Related Least Common Multiples of 2844

Frequently Asked Questions on LCM of 2836 and 2844

1. What is the LCM of 2836 and 2844?

Answer: LCM of 2836 and 2844 is 2016396.

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 2844?

Answer: Factors of 2844 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 79, 158, 237, 316, 474, 711, 948, 1422, 2844. There are 18 integers that are factors of 2844. The greatest factor of 2844 is 2844.

4. How to Find the LCM of 2836 and 2844?

Answer:

Least Common Multiple of 2836 and 2844 = 2016396

Step 1: Find the prime factorization of 2836

2836 = 2 x 2 x 709

Step 2: Find the prime factorization of 2844

2844 = 2 x 2 x 3 x 3 x 79

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

LCM = 2016396 = 2 x 2 x 3 x 3 x 79 x 709

Step 4: Therefore, the least common multiple of 2836 and 2844 is 2016396.