Least Common Multiple of 5868 and 5872

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 5872 the smallest integer that is 8614224 that is divisible by both numbers.

Least Common Multiple (LCM) of 5868 and 5872 is 8614224.

LCM(5868,5872) = 8614224

LCM of 5868 and 5872

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

LCM of:
and

Least Common Multiple of 5868 and 5872

LCM of 5868 and 5872 is 8614224

Least common multiple can be found by multiplying the highest exponent prime factors of 5868 and 5872. First we will calculate the prime factors of 5868 and 5872.

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 5872


2 5872
2 2936
2 1468
2 734
367 367
1

Prime factors of 5872 are 2,367. Prime factorization of 5872 in exponential form is:

5872 = 24×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 5868 and 5872.

LCM(5868,5872) = 24×32×1631×3671
LCM(5868,5872) = 8614224

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 5872

List of positive integer factors of 5872 that divides 5872 without a remainder.

1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872

Least Common Multiple of 5868 and 5872 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 5872, than apply into the LCM equation.

GCF(5868,5872) = 4
LCM(5868,5872) = ( 5868 × 5872) / 4
LCM(5868,5872) = 34456896 / 4
LCM(5868,5872) = 8614224

Properties of LCM 5868 and 5872

(i) The LCM of 5872 and 5868 is associative

LCM of 5868 and 5872 = LCM of 5872 and 5868

Related Least Common Multiples of 5868

Related Least Common Multiples of 5872

Frequently Asked Questions on LCM of 5868 and 5872

1. What is the LCM of 5868 and 5872?

Answer: LCM of 5868 and 5872 is 8614224.

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 5872?

Answer: Factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872. There are 10 integers that are factors of 5872. The greatest factor of 5872 is 5872.

4. How to Find the LCM of 5868 and 5872?

Answer:

Least Common Multiple of 5868 and 5872 = 8614224

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 5872

5872 = 2 x 2 x 2 x 2 x 367

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

LCM = 8614224 = 2 x 2 x 2 x 2 x 3 x 3 x 163 x 367

Step 4: Therefore, the least common multiple of 5868 and 5872 is 8614224.