Least Common Multiple of 2838 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 2838 and 2844 the smallest integer that is 1345212 that is divisible by both numbers.

Least Common Multiple (LCM) of 2838 and 2844 is 1345212.

LCM(2838,2844) = 1345212

LCM of 2838 and 2844

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

LCM of:
and

Least Common Multiple of 2838 and 2844

LCM of 2838 and 2844 is 1345212

Least common multiple can be found by multiplying the highest exponent prime factors of 2838 and 2844. First we will calculate the prime factors of 2838 and 2844.

Prime Factorization of 2838


2 2838
3 1419
11 473
43 43
1

Prime factors of 2838 are 2, 3, 11,43. Prime factorization of 2838 in exponential form is:

2838 = 21×31×111×431

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 2838 and 2844.

LCM(2838,2844) = 22×32×111×431×791
LCM(2838,2844) = 1345212

Factors of 2838

List of positive integer factors of 2838 that divides 2838 without a remainder.

1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838

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 2838 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 2838 and 2844, than apply into the LCM equation.

GCF(2838,2844) = 6
LCM(2838,2844) = ( 2838 × 2844) / 6
LCM(2838,2844) = 8071272 / 6
LCM(2838,2844) = 1345212

Properties of LCM 2838 and 2844

(i) The LCM of 2844 and 2838 is associative

LCM of 2838 and 2844 = LCM of 2844 and 2838

Related Least Common Multiples of 2838

Related Least Common Multiples of 2844

Frequently Asked Questions on LCM of 2838 and 2844

1. What is the LCM of 2838 and 2844?

Answer: LCM of 2838 and 2844 is 1345212.

2. What are the Factors of 2838?

Answer: Factors of 2838 are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838. There are 16 integers that are factors of 2838. The greatest factor of 2838 is 2838.

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 2838 and 2844?

Answer:

Least Common Multiple of 2838 and 2844 = 1345212

Step 1: Find the prime factorization of 2838

2838 = 2 x 3 x 11 x 43

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 = 1345212 = 2 x 2 x 3 x 3 x 11 x 43 x 79

Step 4: Therefore, the least common multiple of 2838 and 2844 is 1345212.