Least Common Multiple of 8878 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 8878 and 8880 the smallest integer that is 39418320 that is divisible by both numbers.

Least Common Multiple (LCM) of 8878 and 8880 is 39418320.

LCM(8878,8880) = 39418320

LCM of 8878 and 8880

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

LCM of:
and

Least Common Multiple of 8878 and 8880

LCM of 8878 and 8880 is 39418320

Least common multiple can be found by multiplying the highest exponent prime factors of 8878 and 8880. First we will calculate the prime factors of 8878 and 8880.

Prime Factorization of 8878


2 8878
23 4439
193 193
1

Prime factors of 8878 are 2, 23,193. Prime factorization of 8878 in exponential form is:

8878 = 21×231×1931

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 8878 and 8880.

LCM(8878,8880) = 24×31×51×231×371×1931
LCM(8878,8880) = 39418320

Factors of 8878

List of positive integer factors of 8878 that divides 8878 without a remainder.

1, 2, 23, 46, 193, 386, 4439, 8878

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 8878 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 8878 and 8880, than apply into the LCM equation.

GCF(8878,8880) = 2
LCM(8878,8880) = ( 8878 × 8880) / 2
LCM(8878,8880) = 78836640 / 2
LCM(8878,8880) = 39418320

Properties of LCM 8878 and 8880

(i) The LCM of 8880 and 8878 is associative

LCM of 8878 and 8880 = LCM of 8880 and 8878

Related Least Common Multiples of 8878

Related Least Common Multiples of 8880

Frequently Asked Questions on LCM of 8878 and 8880

1. What is the LCM of 8878 and 8880?

Answer: LCM of 8878 and 8880 is 39418320.

2. What are the Factors of 8878?

Answer: Factors of 8878 are 1, 2, 23, 46, 193, 386, 4439, 8878. There are 8 integers that are factors of 8878. The greatest factor of 8878 is 8878.

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 8878 and 8880?

Answer:

Least Common Multiple of 8878 and 8880 = 39418320

Step 1: Find the prime factorization of 8878

8878 = 2 x 23 x 193

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 = 39418320 = 2 x 2 x 2 x 2 x 3 x 5 x 23 x 37 x 193

Step 4: Therefore, the least common multiple of 8878 and 8880 is 39418320.