Least Common Multiple of 5857 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 5857 and 5864 the smallest integer that is 34345448 that is divisible by both numbers.

Least Common Multiple (LCM) of 5857 and 5864 is 34345448.

LCM(5857,5864) = 34345448

LCM of 5857 and 5864

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

LCM of:
and

Least Common Multiple of 5857 and 5864

LCM of 5857 and 5864 is 34345448

Least common multiple can be found by multiplying the highest exponent prime factors of 5857 and 5864. First we will calculate the prime factors of 5857 and 5864.

Prime Factorization of 5857


5857 5857
1

Prime factors of 5857 are 5857. Prime factorization of 5857 in exponential form is:

5857 = 58571

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 5857 and 5864.

LCM(5857,5864) = 23×7331×58571
LCM(5857,5864) = 34345448

Factors of 5857

List of positive integer factors of 5857 that divides 5857 without a remainder.

1, 5857

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 5857 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 5857 and 5864, than apply into the LCM equation.

GCF(5857,5864) = 1
LCM(5857,5864) = ( 5857 × 5864) / 1
LCM(5857,5864) = 34345448 / 1
LCM(5857,5864) = 34345448

Properties of LCM 5857 and 5864

(i) The LCM of 5864 and 5857 is associative

LCM of 5857 and 5864 = LCM of 5864 and 5857

Related Least Common Multiples of 5857

Related Least Common Multiples of 5864

Frequently Asked Questions on LCM of 5857 and 5864

1. What is the LCM of 5857 and 5864?

Answer: LCM of 5857 and 5864 is 34345448.

2. What are the Factors of 5857?

Answer: Factors of 5857 are 1, 5857. There are 2 integers that are factors of 5857. The greatest factor of 5857 is 5857.

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 5857 and 5864?

Answer:

Least Common Multiple of 5857 and 5864 = 34345448

Step 1: Find the prime factorization of 5857

5857 = 5857

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 = 34345448 = 2 x 2 x 2 x 733 x 5857

Step 4: Therefore, the least common multiple of 5857 and 5864 is 34345448.