Least Common Multiple of 8804 and 8810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8804 and 8810 the smallest integer that is 38781620 that is divisible by both numbers.

Least Common Multiple (LCM) of 8804 and 8810 is 38781620.

LCM(8804,8810) = 38781620

LCM of 8804 and 8810

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

LCM of:
and

Least Common Multiple of 8804 and 8810

LCM of 8804 and 8810 is 38781620

Least common multiple can be found by multiplying the highest exponent prime factors of 8804 and 8810. First we will calculate the prime factors of 8804 and 8810.

Prime Factorization of 8804


2 8804
2 4402
31 2201
71 71
1

Prime factors of 8804 are 2, 31,71. Prime factorization of 8804 in exponential form is:

8804 = 22×311×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8804 and 8810.

LCM(8804,8810) = 22×51×311×711×8811
LCM(8804,8810) = 38781620

Factors of 8804

List of positive integer factors of 8804 that divides 8804 without a remainder.

1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804

Factors of 8810

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

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

Least Common Multiple of 8804 and 8810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8804 and 8810, than apply into the LCM equation.

GCF(8804,8810) = 2
LCM(8804,8810) = ( 8804 × 8810) / 2
LCM(8804,8810) = 77563240 / 2
LCM(8804,8810) = 38781620

Properties of LCM 8804 and 8810

(i) The LCM of 8810 and 8804 is associative

LCM of 8804 and 8810 = LCM of 8810 and 8804

Related Least Common Multiples of 8804

Related Least Common Multiples of 8810

Frequently Asked Questions on LCM of 8804 and 8810

1. What is the LCM of 8804 and 8810?

Answer: LCM of 8804 and 8810 is 38781620.

2. What are the Factors of 8804?

Answer: Factors of 8804 are 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804. There are 12 integers that are factors of 8804. The greatest factor of 8804 is 8804.

3. 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.

4. How to Find the LCM of 8804 and 8810?

Answer:

Least Common Multiple of 8804 and 8810 = 38781620

Step 1: Find the prime factorization of 8804

8804 = 2 x 2 x 31 x 71

Step 2: Find the prime factorization of 8810

8810 = 2 x 5 x 881

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

LCM = 38781620 = 2 x 2 x 5 x 31 x 71 x 881

Step 4: Therefore, the least common multiple of 8804 and 8810 is 38781620.