Least Common Multiple of 5849 and 5856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5849 and 5856 the smallest integer that is 34251744 that is divisible by both numbers.

Least Common Multiple (LCM) of 5849 and 5856 is 34251744.

LCM(5849,5856) = 34251744

LCM of 5849 and 5856

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

LCM of:
and

Least Common Multiple of 5849 and 5856

LCM of 5849 and 5856 is 34251744

Least common multiple can be found by multiplying the highest exponent prime factors of 5849 and 5856. First we will calculate the prime factors of 5849 and 5856.

Prime Factorization of 5849


5849 5849
1

Prime factors of 5849 are 5849. Prime factorization of 5849 in exponential form is:

5849 = 58491

Prime Factorization of 5856


2 5856
2 2928
2 1464
2 732
2 366
3 183
61 61
1

Prime factors of 5856 are 2, 3,61. Prime factorization of 5856 in exponential form is:

5856 = 25×31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5849 and 5856.

LCM(5849,5856) = 25×31×611×58491
LCM(5849,5856) = 34251744

Factors of 5849

List of positive integer factors of 5849 that divides 5849 without a remainder.

1, 5849

Factors of 5856

List of positive integer factors of 5856 that divides 5856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856

Least Common Multiple of 5849 and 5856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5849 and 5856, than apply into the LCM equation.

GCF(5849,5856) = 1
LCM(5849,5856) = ( 5849 × 5856) / 1
LCM(5849,5856) = 34251744 / 1
LCM(5849,5856) = 34251744

Properties of LCM 5849 and 5856

(i) The LCM of 5856 and 5849 is associative

LCM of 5849 and 5856 = LCM of 5856 and 5849

Related Least Common Multiples of 5849

Related Least Common Multiples of 5856

Frequently Asked Questions on LCM of 5849 and 5856

1. What is the LCM of 5849 and 5856?

Answer: LCM of 5849 and 5856 is 34251744.

2. What are the Factors of 5849?

Answer: Factors of 5849 are 1, 5849. There are 2 integers that are factors of 5849. The greatest factor of 5849 is 5849.

3. What are the Factors of 5856?

Answer: Factors of 5856 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856. There are 24 integers that are factors of 5856. The greatest factor of 5856 is 5856.

4. How to Find the LCM of 5849 and 5856?

Answer:

Least Common Multiple of 5849 and 5856 = 34251744

Step 1: Find the prime factorization of 5849

5849 = 5849

Step 2: Find the prime factorization of 5856

5856 = 2 x 2 x 2 x 2 x 2 x 3 x 61

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

LCM = 34251744 = 2 x 2 x 2 x 2 x 2 x 3 x 61 x 5849

Step 4: Therefore, the least common multiple of 5849 and 5856 is 34251744.