Least Common Multiple of 2844 and 2849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2844 and 2849 the smallest integer that is 8102556 that is divisible by both numbers.

Least Common Multiple (LCM) of 2844 and 2849 is 8102556.

LCM(2844,2849) = 8102556

LCM of 2844 and 2849

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

LCM of:
and

Least Common Multiple of 2844 and 2849

LCM of 2844 and 2849 is 8102556

Least common multiple can be found by multiplying the highest exponent prime factors of 2844 and 2849. First we will calculate the prime factors of 2844 and 2849.

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

Prime Factorization of 2849


7 2849
11 407
37 37
1

Prime factors of 2849 are 7, 11,37. Prime factorization of 2849 in exponential form is:

2849 = 71×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2844 and 2849.

LCM(2844,2849) = 22×32×71×111×371×791
LCM(2844,2849) = 8102556

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

Factors of 2849

List of positive integer factors of 2849 that divides 2849 without a remainder.

1, 7, 11, 37, 77, 259, 407, 2849

Least Common Multiple of 2844 and 2849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2844 and 2849, than apply into the LCM equation.

GCF(2844,2849) = 1
LCM(2844,2849) = ( 2844 × 2849) / 1
LCM(2844,2849) = 8102556 / 1
LCM(2844,2849) = 8102556

Properties of LCM 2844 and 2849

(i) The LCM of 2849 and 2844 is associative

LCM of 2844 and 2849 = LCM of 2849 and 2844

Related Least Common Multiples of 2844

Related Least Common Multiples of 2849

Frequently Asked Questions on LCM of 2844 and 2849

1. What is the LCM of 2844 and 2849?

Answer: LCM of 2844 and 2849 is 8102556.

2. 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.

3. What are the Factors of 2849?

Answer: Factors of 2849 are 1, 7, 11, 37, 77, 259, 407, 2849. There are 8 integers that are factors of 2849. The greatest factor of 2849 is 2849.

4. How to Find the LCM of 2844 and 2849?

Answer:

Least Common Multiple of 2844 and 2849 = 8102556

Step 1: Find the prime factorization of 2844

2844 = 2 x 2 x 3 x 3 x 79

Step 2: Find the prime factorization of 2849

2849 = 7 x 11 x 37

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

LCM = 8102556 = 2 x 2 x 3 x 3 x 7 x 11 x 37 x 79

Step 4: Therefore, the least common multiple of 2844 and 2849 is 8102556.