Least Common Multiple of 8873 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 8873 and 8880 the smallest integer that is 78792240 that is divisible by both numbers.

Least Common Multiple (LCM) of 8873 and 8880 is 78792240.

LCM(8873,8880) = 78792240

LCM of 8873 and 8880

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

LCM of:
and

Least Common Multiple of 8873 and 8880

LCM of 8873 and 8880 is 78792240

Least common multiple can be found by multiplying the highest exponent prime factors of 8873 and 8880. First we will calculate the prime factors of 8873 and 8880.

Prime Factorization of 8873


19 8873
467 467
1

Prime factors of 8873 are 19,467. Prime factorization of 8873 in exponential form is:

8873 = 191×4671

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 8873 and 8880.

LCM(8873,8880) = 24×31×51×191×371×4671
LCM(8873,8880) = 78792240

Factors of 8873

List of positive integer factors of 8873 that divides 8873 without a remainder.

1, 19, 467, 8873

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 8873 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 8873 and 8880, than apply into the LCM equation.

GCF(8873,8880) = 1
LCM(8873,8880) = ( 8873 × 8880) / 1
LCM(8873,8880) = 78792240 / 1
LCM(8873,8880) = 78792240

Properties of LCM 8873 and 8880

(i) The LCM of 8880 and 8873 is associative

LCM of 8873 and 8880 = LCM of 8880 and 8873

Related Least Common Multiples of 8873

Related Least Common Multiples of 8880

Frequently Asked Questions on LCM of 8873 and 8880

1. What is the LCM of 8873 and 8880?

Answer: LCM of 8873 and 8880 is 78792240.

2. What are the Factors of 8873?

Answer: Factors of 8873 are 1, 19, 467, 8873. There are 4 integers that are factors of 8873. The greatest factor of 8873 is 8873.

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 8873 and 8880?

Answer:

Least Common Multiple of 8873 and 8880 = 78792240

Step 1: Find the prime factorization of 8873

8873 = 19 x 467

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 = 78792240 = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 37 x 467

Step 4: Therefore, the least common multiple of 8873 and 8880 is 78792240.