Least Common Multiple of 8810 and 8815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8810 and 8815 the smallest integer that is 15532030 that is divisible by both numbers.

Least Common Multiple (LCM) of 8810 and 8815 is 15532030.

LCM(8810,8815) = 15532030

LCM of 8810 and 8815

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

LCM of:
and

Least Common Multiple of 8810 and 8815

LCM of 8810 and 8815 is 15532030

Least common multiple can be found by multiplying the highest exponent prime factors of 8810 and 8815. First we will calculate the prime factors of 8810 and 8815.

Prime Factorization of 8810


2 8810
5 4405
881 881
1

Prime factors of 8810 are 2, 5,881. Prime factorization of 8810 in exponential form is:

8810 = 21×51×8811

Prime Factorization of 8815


5 8815
41 1763
43 43
1

Prime factors of 8815 are 5, 41,43. Prime factorization of 8815 in exponential form is:

8815 = 51×411×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8810 and 8815.

LCM(8810,8815) = 21×51×411×431×8811
LCM(8810,8815) = 15532030

Factors of 8810

List of positive integer factors of 8810 that divides 8810 without a remainder.

1, 2, 5, 10, 881, 1762, 4405, 8810

Factors of 8815

List of positive integer factors of 8815 that divides 8815 without a remainder.

1, 5, 41, 43, 205, 215, 1763, 8815

Least Common Multiple of 8810 and 8815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8810 and 8815, than apply into the LCM equation.

GCF(8810,8815) = 5
LCM(8810,8815) = ( 8810 × 8815) / 5
LCM(8810,8815) = 77660150 / 5
LCM(8810,8815) = 15532030

Properties of LCM 8810 and 8815

(i) The LCM of 8815 and 8810 is associative

LCM of 8810 and 8815 = LCM of 8815 and 8810

Related Least Common Multiples of 8810

Related Least Common Multiples of 8815

Frequently Asked Questions on LCM of 8810 and 8815

1. What is the LCM of 8810 and 8815?

Answer: LCM of 8810 and 8815 is 15532030.

2. What are the Factors of 8810?

Answer: Factors of 8810 are 1, 2, 5, 10, 881, 1762, 4405, 8810. There are 8 integers that are factors of 8810. The greatest factor of 8810 is 8810.

3. What are the Factors of 8815?

Answer: Factors of 8815 are 1, 5, 41, 43, 205, 215, 1763, 8815. There are 8 integers that are factors of 8815. The greatest factor of 8815 is 8815.

4. How to Find the LCM of 8810 and 8815?

Answer:

Least Common Multiple of 8810 and 8815 = 15532030

Step 1: Find the prime factorization of 8810

8810 = 2 x 5 x 881

Step 2: Find the prime factorization of 8815

8815 = 5 x 41 x 43

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

LCM = 15532030 = 2 x 5 x 41 x 43 x 881

Step 4: Therefore, the least common multiple of 8810 and 8815 is 15532030.