Least Common Multiple of 8880 and 8885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8880 and 8885 the smallest integer that is 15779760 that is divisible by both numbers.

Least Common Multiple (LCM) of 8880 and 8885 is 15779760.

LCM(8880,8885) = 15779760

LCM of 8880 and 8885

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

LCM of:
and

Least Common Multiple of 8880 and 8885

LCM of 8880 and 8885 is 15779760

Least common multiple can be found by multiplying the highest exponent prime factors of 8880 and 8885. First we will calculate the prime factors of 8880 and 8885.

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

Prime Factorization of 8885


5 8885
1777 1777
1

Prime factors of 8885 are 5,1777. Prime factorization of 8885 in exponential form is:

8885 = 51×17771

Now multiplying the highest exponent prime factors to calculate the LCM of 8880 and 8885.

LCM(8880,8885) = 24×31×51×371×17771
LCM(8880,8885) = 15779760

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

Factors of 8885

List of positive integer factors of 8885 that divides 8885 without a remainder.

1, 5, 1777, 8885

Least Common Multiple of 8880 and 8885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8880 and 8885, than apply into the LCM equation.

GCF(8880,8885) = 5
LCM(8880,8885) = ( 8880 × 8885) / 5
LCM(8880,8885) = 78898800 / 5
LCM(8880,8885) = 15779760

Properties of LCM 8880 and 8885

(i) The LCM of 8885 and 8880 is associative

LCM of 8880 and 8885 = LCM of 8885 and 8880

Related Least Common Multiples of 8880

Related Least Common Multiples of 8885

Frequently Asked Questions on LCM of 8880 and 8885

1. What is the LCM of 8880 and 8885?

Answer: LCM of 8880 and 8885 is 15779760.

2. 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.

3. What are the Factors of 8885?

Answer: Factors of 8885 are 1, 5, 1777, 8885. There are 4 integers that are factors of 8885. The greatest factor of 8885 is 8885.

4. How to Find the LCM of 8880 and 8885?

Answer:

Least Common Multiple of 8880 and 8885 = 15779760

Step 1: Find the prime factorization of 8880

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

Step 2: Find the prime factorization of 8885

8885 = 5 x 1777

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

LCM = 15779760 = 2 x 2 x 2 x 2 x 3 x 5 x 37 x 1777

Step 4: Therefore, the least common multiple of 8880 and 8885 is 15779760.