Least Common Multiple of 8804 and 8812

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 8812 the smallest integer that is 19395212 that is divisible by both numbers.

Least Common Multiple (LCM) of 8804 and 8812 is 19395212.

LCM(8804,8812) = 19395212

LCM of 8804 and 8812

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

LCM of:
and

Least Common Multiple of 8804 and 8812

LCM of 8804 and 8812 is 19395212

Least common multiple can be found by multiplying the highest exponent prime factors of 8804 and 8812. First we will calculate the prime factors of 8804 and 8812.

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 8812


2 8812
2 4406
2203 2203
1

Prime factors of 8812 are 2,2203. Prime factorization of 8812 in exponential form is:

8812 = 22×22031

Now multiplying the highest exponent prime factors to calculate the LCM of 8804 and 8812.

LCM(8804,8812) = 22×311×711×22031
LCM(8804,8812) = 19395212

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 8812

List of positive integer factors of 8812 that divides 8812 without a remainder.

1, 2, 4, 2203, 4406, 8812

Least Common Multiple of 8804 and 8812 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 8812, than apply into the LCM equation.

GCF(8804,8812) = 4
LCM(8804,8812) = ( 8804 × 8812) / 4
LCM(8804,8812) = 77580848 / 4
LCM(8804,8812) = 19395212

Properties of LCM 8804 and 8812

(i) The LCM of 8812 and 8804 is associative

LCM of 8804 and 8812 = LCM of 8812 and 8804

Related Least Common Multiples of 8804

Related Least Common Multiples of 8812

Frequently Asked Questions on LCM of 8804 and 8812

1. What is the LCM of 8804 and 8812?

Answer: LCM of 8804 and 8812 is 19395212.

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 8812?

Answer: Factors of 8812 are 1, 2, 4, 2203, 4406, 8812. There are 6 integers that are factors of 8812. The greatest factor of 8812 is 8812.

4. How to Find the LCM of 8804 and 8812?

Answer:

Least Common Multiple of 8804 and 8812 = 19395212

Step 1: Find the prime factorization of 8804

8804 = 2 x 2 x 31 x 71

Step 2: Find the prime factorization of 8812

8812 = 2 x 2 x 2203

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

LCM = 19395212 = 2 x 2 x 31 x 71 x 2203

Step 4: Therefore, the least common multiple of 8804 and 8812 is 19395212.