Least Common Multiple of 5868 and 5875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 5868 and 5875 the smallest integer that is 34474500 that is divisible by both numbers.

Least Common Multiple (LCM) of 5868 and 5875 is 34474500.

LCM(5868,5875) = 34474500

LCM of 5868 and 5875

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

LCM of:
and

Least Common Multiple of 5868 and 5875

LCM of 5868 and 5875 is 34474500

Least common multiple can be found by multiplying the highest exponent prime factors of 5868 and 5875. First we will calculate the prime factors of 5868 and 5875.

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

Prime Factorization of 5875


5 5875
5 1175
5 235
47 47
1

Prime factors of 5875 are 5,47. Prime factorization of 5875 in exponential form is:

5875 = 53×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5868 and 5875.

LCM(5868,5875) = 22×32×53×471×1631
LCM(5868,5875) = 34474500

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

Factors of 5875

List of positive integer factors of 5875 that divides 5875 without a remainder.

1, 5, 25, 47, 125, 235, 1175, 5875

Least Common Multiple of 5868 and 5875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5868 and 5875, than apply into the LCM equation.

GCF(5868,5875) = 1
LCM(5868,5875) = ( 5868 × 5875) / 1
LCM(5868,5875) = 34474500 / 1
LCM(5868,5875) = 34474500

Properties of LCM 5868 and 5875

(i) The LCM of 5875 and 5868 is associative

LCM of 5868 and 5875 = LCM of 5875 and 5868

Frequently Asked Questions on LCM of 5868 and 5875

1. What is the LCM of 5868 and 5875?

Answer: LCM of 5868 and 5875 is 34474500.

2. 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.

3. What are the Factors of 5875?

Answer: Factors of 5875 are 1, 5, 25, 47, 125, 235, 1175, 5875. There are 8 integers that are factors of 5875. The greatest factor of 5875 is 5875.

4. How to Find the LCM of 5868 and 5875?

Answer:

Least Common Multiple of 5868 and 5875 = 34474500

Step 1: Find the prime factorization of 5868

5868 = 2 x 2 x 3 x 3 x 163

Step 2: Find the prime factorization of 5875

5875 = 5 x 5 x 5 x 47

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

LCM = 34474500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 47 x 163

Step 4: Therefore, the least common multiple of 5868 and 5875 is 34474500.