Least Common Multiple of 5864 and 5868

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 5868 the smallest integer that is 8602488 that is divisible by both numbers.

Least Common Multiple (LCM) of 5864 and 5868 is 8602488.

LCM(5864,5868) = 8602488

LCM of 5864 and 5868

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

LCM of:
and

Least Common Multiple of 5864 and 5868

LCM of 5864 and 5868 is 8602488

Least common multiple can be found by multiplying the highest exponent prime factors of 5864 and 5868. First we will calculate the prime factors of 5864 and 5868.

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 5868


2 5868
2 2934
3 1467
3 489
163 163
1

Prime factors of 5868 are 2, 3,163. Prime factorization of 5868 in exponential form is:

5868 = 22×32×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 5864 and 5868.

LCM(5864,5868) = 23×32×1631×7331
LCM(5864,5868) = 8602488

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 5868

List of positive integer factors of 5868 that divides 5868 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868

Least Common Multiple of 5864 and 5868 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 5868, than apply into the LCM equation.

GCF(5864,5868) = 4
LCM(5864,5868) = ( 5864 × 5868) / 4
LCM(5864,5868) = 34409952 / 4
LCM(5864,5868) = 8602488

Properties of LCM 5864 and 5868

(i) The LCM of 5868 and 5864 is associative

LCM of 5864 and 5868 = LCM of 5868 and 5864

Related Least Common Multiples of 5864

Related Least Common Multiples of 5868

Frequently Asked Questions on LCM of 5864 and 5868

1. What is the LCM of 5864 and 5868?

Answer: LCM of 5864 and 5868 is 8602488.

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 5868?

Answer: Factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868. There are 18 integers that are factors of 5868. The greatest factor of 5868 is 5868.

4. How to Find the LCM of 5864 and 5868?

Answer:

Least Common Multiple of 5864 and 5868 = 8602488

Step 1: Find the prime factorization of 5864

5864 = 2 x 2 x 2 x 733

Step 2: Find the prime factorization of 5868

5868 = 2 x 2 x 3 x 3 x 163

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

LCM = 8602488 = 2 x 2 x 2 x 3 x 3 x 163 x 733

Step 4: Therefore, the least common multiple of 5864 and 5868 is 8602488.