Least Common Multiple of 5872 and 5878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5872 and 5878 the smallest integer that is 17257808 that is divisible by both numbers.

Least Common Multiple (LCM) of 5872 and 5878 is 17257808.

LCM(5872,5878) = 17257808

LCM of 5872 and 5878

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

LCM of:
and

Least Common Multiple of 5872 and 5878

LCM of 5872 and 5878 is 17257808

Least common multiple can be found by multiplying the highest exponent prime factors of 5872 and 5878. First we will calculate the prime factors of 5872 and 5878.

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

Prime Factorization of 5878


2 5878
2939 2939
1

Prime factors of 5878 are 2,2939. Prime factorization of 5878 in exponential form is:

5878 = 21×29391

Now multiplying the highest exponent prime factors to calculate the LCM of 5872 and 5878.

LCM(5872,5878) = 24×3671×29391
LCM(5872,5878) = 17257808

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

Factors of 5878

List of positive integer factors of 5878 that divides 5878 without a remainder.

1, 2, 2939, 5878

Least Common Multiple of 5872 and 5878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5872 and 5878, than apply into the LCM equation.

GCF(5872,5878) = 2
LCM(5872,5878) = ( 5872 × 5878) / 2
LCM(5872,5878) = 34515616 / 2
LCM(5872,5878) = 17257808

Properties of LCM 5872 and 5878

(i) The LCM of 5878 and 5872 is associative

LCM of 5872 and 5878 = LCM of 5878 and 5872

Related Least Common Multiples of 5872

Related Least Common Multiples of 5878

Frequently Asked Questions on LCM of 5872 and 5878

1. What is the LCM of 5872 and 5878?

Answer: LCM of 5872 and 5878 is 17257808.

2. 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.

3. What are the Factors of 5878?

Answer: Factors of 5878 are 1, 2, 2939, 5878. There are 4 integers that are factors of 5878. The greatest factor of 5878 is 5878.

4. How to Find the LCM of 5872 and 5878?

Answer:

Least Common Multiple of 5872 and 5878 = 17257808

Step 1: Find the prime factorization of 5872

5872 = 2 x 2 x 2 x 2 x 367

Step 2: Find the prime factorization of 5878

5878 = 2 x 2939

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

LCM = 17257808 = 2 x 2 x 2 x 2 x 367 x 2939

Step 4: Therefore, the least common multiple of 5872 and 5878 is 17257808.