Least Common Multiple of 8874 and 8880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8874 and 8880 the smallest integer that is 13133520 that is divisible by both numbers.

Least Common Multiple (LCM) of 8874 and 8880 is 13133520.

LCM(8874,8880) = 13133520

LCM of 8874 and 8880

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

LCM of:
and

Least Common Multiple of 8874 and 8880

LCM of 8874 and 8880 is 13133520

Least common multiple can be found by multiplying the highest exponent prime factors of 8874 and 8880. First we will calculate the prime factors of 8874 and 8880.

Prime Factorization of 8874


2 8874
3 4437
3 1479
17 493
29 29
1

Prime factors of 8874 are 2, 3, 17,29. Prime factorization of 8874 in exponential form is:

8874 = 21×32×171×291

Prime Factorization of 8880


2 8880
2 4440
2 2220
2 1110
3 555
5 185
37 37
1

Prime factors of 8880 are 2, 3, 5,37. Prime factorization of 8880 in exponential form is:

8880 = 24×31×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8874 and 8880.

LCM(8874,8880) = 24×32×51×171×291×371
LCM(8874,8880) = 13133520

Factors of 8874

List of positive integer factors of 8874 that divides 8874 without a remainder.

1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874

Factors of 8880

List of positive integer factors of 8880 that divides 8880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880

Least Common Multiple of 8874 and 8880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8874 and 8880, than apply into the LCM equation.

GCF(8874,8880) = 6
LCM(8874,8880) = ( 8874 × 8880) / 6
LCM(8874,8880) = 78801120 / 6
LCM(8874,8880) = 13133520

Properties of LCM 8874 and 8880

(i) The LCM of 8880 and 8874 is associative

LCM of 8874 and 8880 = LCM of 8880 and 8874

Related Least Common Multiples of 8874

Related Least Common Multiples of 8880

Frequently Asked Questions on LCM of 8874 and 8880

1. What is the LCM of 8874 and 8880?

Answer: LCM of 8874 and 8880 is 13133520.

2. What are the Factors of 8874?

Answer: Factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874. There are 24 integers that are factors of 8874. The greatest factor of 8874 is 8874.

3. What are the Factors of 8880?

Answer: Factors of 8880 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880. There are 40 integers that are factors of 8880. The greatest factor of 8880 is 8880.

4. How to Find the LCM of 8874 and 8880?

Answer:

Least Common Multiple of 8874 and 8880 = 13133520

Step 1: Find the prime factorization of 8874

8874 = 2 x 3 x 3 x 17 x 29

Step 2: Find the prime factorization of 8880

8880 = 2 x 2 x 2 x 2 x 3 x 5 x 37

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

LCM = 13133520 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17 x 29 x 37

Step 4: Therefore, the least common multiple of 8874 and 8880 is 13133520.