Least Common Multiple of 5868 and 5873

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 5873 the smallest integer that is 34462764 that is divisible by both numbers.

Least Common Multiple (LCM) of 5868 and 5873 is 34462764.

LCM(5868,5873) = 34462764

LCM of 5868 and 5873

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

LCM of:
and

Least Common Multiple of 5868 and 5873

LCM of 5868 and 5873 is 34462764

Least common multiple can be found by multiplying the highest exponent prime factors of 5868 and 5873. First we will calculate the prime factors of 5868 and 5873.

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 5873


7 5873
839 839
1

Prime factors of 5873 are 7,839. Prime factorization of 5873 in exponential form is:

5873 = 71×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 5868 and 5873.

LCM(5868,5873) = 22×32×71×1631×8391
LCM(5868,5873) = 34462764

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 5873

List of positive integer factors of 5873 that divides 5873 without a remainder.

1, 7, 839, 5873

Least Common Multiple of 5868 and 5873 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 5873, than apply into the LCM equation.

GCF(5868,5873) = 1
LCM(5868,5873) = ( 5868 × 5873) / 1
LCM(5868,5873) = 34462764 / 1
LCM(5868,5873) = 34462764

Properties of LCM 5868 and 5873

(i) The LCM of 5873 and 5868 is associative

LCM of 5868 and 5873 = LCM of 5873 and 5868

Related Least Common Multiples of 5868

Related Least Common Multiples of 5873

Frequently Asked Questions on LCM of 5868 and 5873

1. What is the LCM of 5868 and 5873?

Answer: LCM of 5868 and 5873 is 34462764.

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 5873?

Answer: Factors of 5873 are 1, 7, 839, 5873. There are 4 integers that are factors of 5873. The greatest factor of 5873 is 5873.

4. How to Find the LCM of 5868 and 5873?

Answer:

Least Common Multiple of 5868 and 5873 = 34462764

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 5873

5873 = 7 x 839

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

LCM = 34462764 = 2 x 2 x 3 x 3 x 7 x 163 x 839

Step 4: Therefore, the least common multiple of 5868 and 5873 is 34462764.