Least Common Multiple of 5864 and 5869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5864 and 5869 the smallest integer that is 34415816 that is divisible by both numbers.

Least Common Multiple (LCM) of 5864 and 5869 is 34415816.

LCM(5864,5869) = 34415816

LCM of 5864 and 5869

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

LCM of:
and

Least Common Multiple of 5864 and 5869

LCM of 5864 and 5869 is 34415816

Least common multiple can be found by multiplying the highest exponent prime factors of 5864 and 5869. First we will calculate the prime factors of 5864 and 5869.

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

Prime Factorization of 5869


5869 5869
1

Prime factors of 5869 are 5869. Prime factorization of 5869 in exponential form is:

5869 = 58691

Now multiplying the highest exponent prime factors to calculate the LCM of 5864 and 5869.

LCM(5864,5869) = 23×7331×58691
LCM(5864,5869) = 34415816

Factors of 5864

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

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

Factors of 5869

List of positive integer factors of 5869 that divides 5869 without a remainder.

1, 5869

Least Common Multiple of 5864 and 5869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5864 and 5869, than apply into the LCM equation.

GCF(5864,5869) = 1
LCM(5864,5869) = ( 5864 × 5869) / 1
LCM(5864,5869) = 34415816 / 1
LCM(5864,5869) = 34415816

Properties of LCM 5864 and 5869

(i) The LCM of 5869 and 5864 is associative

LCM of 5864 and 5869 = LCM of 5869 and 5864

Related Least Common Multiples of 5864

Related Least Common Multiples of 5869

Frequently Asked Questions on LCM of 5864 and 5869

1. What is the LCM of 5864 and 5869?

Answer: LCM of 5864 and 5869 is 34415816.

2. 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.

3. What are the Factors of 5869?

Answer: Factors of 5869 are 1, 5869. There are 2 integers that are factors of 5869. The greatest factor of 5869 is 5869.

4. How to Find the LCM of 5864 and 5869?

Answer:

Least Common Multiple of 5864 and 5869 = 34415816

Step 1: Find the prime factorization of 5864

5864 = 2 x 2 x 2 x 733

Step 2: Find the prime factorization of 5869

5869 = 5869

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

LCM = 34415816 = 2 x 2 x 2 x 733 x 5869

Step 4: Therefore, the least common multiple of 5864 and 5869 is 34415816.