Least Common Multiple of 8808 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 8808 and 8812 the smallest integer that is 19404024 that is divisible by both numbers.

Least Common Multiple (LCM) of 8808 and 8812 is 19404024.

LCM(8808,8812) = 19404024

LCM of 8808 and 8812

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

LCM of:
and

Least Common Multiple of 8808 and 8812

LCM of 8808 and 8812 is 19404024

Least common multiple can be found by multiplying the highest exponent prime factors of 8808 and 8812. First we will calculate the prime factors of 8808 and 8812.

Prime Factorization of 8808


2 8808
2 4404
2 2202
3 1101
367 367
1

Prime factors of 8808 are 2, 3,367. Prime factorization of 8808 in exponential form is:

8808 = 23×31×3671

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 8808 and 8812.

LCM(8808,8812) = 23×31×3671×22031
LCM(8808,8812) = 19404024

Factors of 8808

List of positive integer factors of 8808 that divides 8808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808

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 8808 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 8808 and 8812, than apply into the LCM equation.

GCF(8808,8812) = 4
LCM(8808,8812) = ( 8808 × 8812) / 4
LCM(8808,8812) = 77616096 / 4
LCM(8808,8812) = 19404024

Properties of LCM 8808 and 8812

(i) The LCM of 8812 and 8808 is associative

LCM of 8808 and 8812 = LCM of 8812 and 8808

Related Least Common Multiples of 8808

Related Least Common Multiples of 8812

Frequently Asked Questions on LCM of 8808 and 8812

1. What is the LCM of 8808 and 8812?

Answer: LCM of 8808 and 8812 is 19404024.

2. What are the Factors of 8808?

Answer: Factors of 8808 are 1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808. There are 16 integers that are factors of 8808. The greatest factor of 8808 is 8808.

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 8808 and 8812?

Answer:

Least Common Multiple of 8808 and 8812 = 19404024

Step 1: Find the prime factorization of 8808

8808 = 2 x 2 x 2 x 3 x 367

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 = 19404024 = 2 x 2 x 2 x 3 x 367 x 2203

Step 4: Therefore, the least common multiple of 8808 and 8812 is 19404024.