Least Common Multiple of 5868 and 5870

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 5870 the smallest integer that is 17222580 that is divisible by both numbers.

Least Common Multiple (LCM) of 5868 and 5870 is 17222580.

LCM(5868,5870) = 17222580

LCM of 5868 and 5870

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

LCM of:
and

Least Common Multiple of 5868 and 5870

LCM of 5868 and 5870 is 17222580

Least common multiple can be found by multiplying the highest exponent prime factors of 5868 and 5870. First we will calculate the prime factors of 5868 and 5870.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 5868 and 5870.

LCM(5868,5870) = 22×32×51×1631×5871
LCM(5868,5870) = 17222580

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 5870

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

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

Least Common Multiple of 5868 and 5870 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 5870, than apply into the LCM equation.

GCF(5868,5870) = 2
LCM(5868,5870) = ( 5868 × 5870) / 2
LCM(5868,5870) = 34445160 / 2
LCM(5868,5870) = 17222580

Properties of LCM 5868 and 5870

(i) The LCM of 5870 and 5868 is associative

LCM of 5868 and 5870 = LCM of 5870 and 5868

Related Least Common Multiples of 5868

Related Least Common Multiples of 5870

Frequently Asked Questions on LCM of 5868 and 5870

1. What is the LCM of 5868 and 5870?

Answer: LCM of 5868 and 5870 is 17222580.

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 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.

4. How to Find the LCM of 5868 and 5870?

Answer:

Least Common Multiple of 5868 and 5870 = 17222580

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 5870

5870 = 2 x 5 x 587

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

LCM = 17222580 = 2 x 2 x 3 x 3 x 5 x 163 x 587

Step 4: Therefore, the least common multiple of 5868 and 5870 is 17222580.