Least Common Multiple of 5870 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 5870 and 5872 the smallest integer that is 17234320 that is divisible by both numbers.

Least Common Multiple (LCM) of 5870 and 5872 is 17234320.

LCM(5870,5872) = 17234320

LCM of 5870 and 5872

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

LCM of:
and

Least Common Multiple of 5870 and 5872

LCM of 5870 and 5872 is 17234320

Least common multiple can be found by multiplying the highest exponent prime factors of 5870 and 5872. First we will calculate the prime factors of 5870 and 5872.

Prime Factorization of 5870


2 5870
5 2935
587 587
1

Prime factors of 5870 are 2, 5,587. Prime factorization of 5870 in exponential form is:

5870 = 21×51×5871

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 5870 and 5872.

LCM(5870,5872) = 24×51×3671×5871
LCM(5870,5872) = 17234320

Factors of 5870

List of positive integer factors of 5870 that divides 5870 without a remainder.

1, 2, 5, 10, 587, 1174, 2935, 5870

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 5870 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 5870 and 5872, than apply into the LCM equation.

GCF(5870,5872) = 2
LCM(5870,5872) = ( 5870 × 5872) / 2
LCM(5870,5872) = 34468640 / 2
LCM(5870,5872) = 17234320

Properties of LCM 5870 and 5872

(i) The LCM of 5872 and 5870 is associative

LCM of 5870 and 5872 = LCM of 5872 and 5870

Related Least Common Multiples of 5870

Related Least Common Multiples of 5872

Frequently Asked Questions on LCM of 5870 and 5872

1. What is the LCM of 5870 and 5872?

Answer: LCM of 5870 and 5872 is 17234320.

2. What are the Factors of 5870?

Answer: Factors of 5870 are 1, 2, 5, 10, 587, 1174, 2935, 5870. There are 8 integers that are factors of 5870. The greatest factor of 5870 is 5870.

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 5870 and 5872?

Answer:

Least Common Multiple of 5870 and 5872 = 17234320

Step 1: Find the prime factorization of 5870

5870 = 2 x 5 x 587

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 = 17234320 = 2 x 2 x 2 x 2 x 5 x 367 x 587

Step 4: Therefore, the least common multiple of 5870 and 5872 is 17234320.