Least Common Multiple of 5856 and 5864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5856 and 5864 the smallest integer that is 4292448 that is divisible by both numbers.

Least Common Multiple (LCM) of 5856 and 5864 is 4292448.

LCM(5856,5864) = 4292448

LCM of 5856 and 5864

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

LCM of:
and

Least Common Multiple of 5856 and 5864

LCM of 5856 and 5864 is 4292448

Least common multiple can be found by multiplying the highest exponent prime factors of 5856 and 5864. First we will calculate the prime factors of 5856 and 5864.

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

Prime Factorization of 5864


2 5864
2 2932
2 1466
733 733
1

Prime factors of 5864 are 2,733. Prime factorization of 5864 in exponential form is:

5864 = 23×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 5856 and 5864.

LCM(5856,5864) = 25×31×611×7331
LCM(5856,5864) = 4292448

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

Factors of 5864

List of positive integer factors of 5864 that divides 5864 without a remainder.

1, 2, 4, 8, 733, 1466, 2932, 5864

Least Common Multiple of 5856 and 5864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5856 and 5864, than apply into the LCM equation.

GCF(5856,5864) = 8
LCM(5856,5864) = ( 5856 × 5864) / 8
LCM(5856,5864) = 34339584 / 8
LCM(5856,5864) = 4292448

Properties of LCM 5856 and 5864

(i) The LCM of 5864 and 5856 is associative

LCM of 5856 and 5864 = LCM of 5864 and 5856

Related Least Common Multiples of 5856

Related Least Common Multiples of 5864

Frequently Asked Questions on LCM of 5856 and 5864

1. What is the LCM of 5856 and 5864?

Answer: LCM of 5856 and 5864 is 4292448.

2. 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.

3. What are the Factors of 5864?

Answer: Factors of 5864 are 1, 2, 4, 8, 733, 1466, 2932, 5864. There are 8 integers that are factors of 5864. The greatest factor of 5864 is 5864.

4. How to Find the LCM of 5856 and 5864?

Answer:

Least Common Multiple of 5856 and 5864 = 4292448

Step 1: Find the prime factorization of 5856

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

Step 2: Find the prime factorization of 5864

5864 = 2 x 2 x 2 x 733

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

LCM = 4292448 = 2 x 2 x 2 x 2 x 2 x 3 x 61 x 733

Step 4: Therefore, the least common multiple of 5856 and 5864 is 4292448.