Least Common Multiple of 2849 and 2856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2849 and 2856 the smallest integer that is 1162392 that is divisible by both numbers.

Least Common Multiple (LCM) of 2849 and 2856 is 1162392.

LCM(2849,2856) = 1162392

LCM of 2849 and 2856

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

LCM of:
and

Least Common Multiple of 2849 and 2856

LCM of 2849 and 2856 is 1162392

Least common multiple can be found by multiplying the highest exponent prime factors of 2849 and 2856. First we will calculate the prime factors of 2849 and 2856.

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

Prime Factorization of 2856


2 2856
2 1428
2 714
3 357
7 119
17 17
1

Prime factors of 2856 are 2, 3, 7,17. Prime factorization of 2856 in exponential form is:

2856 = 23×31×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2849 and 2856.

LCM(2849,2856) = 23×31×71×111×171×371
LCM(2849,2856) = 1162392

Factors of 2849

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

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

Factors of 2856

List of positive integer factors of 2856 that divides 2856 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856

Least Common Multiple of 2849 and 2856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2849 and 2856, than apply into the LCM equation.

GCF(2849,2856) = 7
LCM(2849,2856) = ( 2849 × 2856) / 7
LCM(2849,2856) = 8136744 / 7
LCM(2849,2856) = 1162392

Properties of LCM 2849 and 2856

(i) The LCM of 2856 and 2849 is associative

LCM of 2849 and 2856 = LCM of 2856 and 2849

Related Least Common Multiples of 2849

Related Least Common Multiples of 2856

Frequently Asked Questions on LCM of 2849 and 2856

1. What is the LCM of 2849 and 2856?

Answer: LCM of 2849 and 2856 is 1162392.

2. 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.

3. What are the Factors of 2856?

Answer: Factors of 2856 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856. There are 32 integers that are factors of 2856. The greatest factor of 2856 is 2856.

4. How to Find the LCM of 2849 and 2856?

Answer:

Least Common Multiple of 2849 and 2856 = 1162392

Step 1: Find the prime factorization of 2849

2849 = 7 x 11 x 37

Step 2: Find the prime factorization of 2856

2856 = 2 x 2 x 2 x 3 x 7 x 17

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

LCM = 1162392 = 2 x 2 x 2 x 3 x 7 x 11 x 17 x 37

Step 4: Therefore, the least common multiple of 2849 and 2856 is 1162392.