Least Common Multiple of 5864 and 5871

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 5871 the smallest integer that is 34427544 that is divisible by both numbers.

Least Common Multiple (LCM) of 5864 and 5871 is 34427544.

LCM(5864,5871) = 34427544

LCM of 5864 and 5871

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

LCM of:
and

Least Common Multiple of 5864 and 5871

LCM of 5864 and 5871 is 34427544

Least common multiple can be found by multiplying the highest exponent prime factors of 5864 and 5871. First we will calculate the prime factors of 5864 and 5871.

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 5871


3 5871
19 1957
103 103
1

Prime factors of 5871 are 3, 19,103. Prime factorization of 5871 in exponential form is:

5871 = 31×191×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5864 and 5871.

LCM(5864,5871) = 23×31×191×1031×7331
LCM(5864,5871) = 34427544

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 5871

List of positive integer factors of 5871 that divides 5871 without a remainder.

1, 3, 19, 57, 103, 309, 1957, 5871

Least Common Multiple of 5864 and 5871 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 5871, than apply into the LCM equation.

GCF(5864,5871) = 1
LCM(5864,5871) = ( 5864 × 5871) / 1
LCM(5864,5871) = 34427544 / 1
LCM(5864,5871) = 34427544

Properties of LCM 5864 and 5871

(i) The LCM of 5871 and 5864 is associative

LCM of 5864 and 5871 = LCM of 5871 and 5864

Related Least Common Multiples of 5864

Related Least Common Multiples of 5871

Frequently Asked Questions on LCM of 5864 and 5871

1. What is the LCM of 5864 and 5871?

Answer: LCM of 5864 and 5871 is 34427544.

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 5871?

Answer: Factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871. There are 8 integers that are factors of 5871. The greatest factor of 5871 is 5871.

4. How to Find the LCM of 5864 and 5871?

Answer:

Least Common Multiple of 5864 and 5871 = 34427544

Step 1: Find the prime factorization of 5864

5864 = 2 x 2 x 2 x 733

Step 2: Find the prime factorization of 5871

5871 = 3 x 19 x 103

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

LCM = 34427544 = 2 x 2 x 2 x 3 x 19 x 103 x 733

Step 4: Therefore, the least common multiple of 5864 and 5871 is 34427544.