Least Common Multiple of 8812 and 8816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8812 and 8816 the smallest integer that is 19421648 that is divisible by both numbers.

Least Common Multiple (LCM) of 8812 and 8816 is 19421648.

LCM(8812,8816) = 19421648

LCM of 8812 and 8816

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

LCM of:
and

Least Common Multiple of 8812 and 8816

LCM of 8812 and 8816 is 19421648

Least common multiple can be found by multiplying the highest exponent prime factors of 8812 and 8816. First we will calculate the prime factors of 8812 and 8816.

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

Prime Factorization of 8816


2 8816
2 4408
2 2204
2 1102
19 551
29 29
1

Prime factors of 8816 are 2, 19,29. Prime factorization of 8816 in exponential form is:

8816 = 24×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8812 and 8816.

LCM(8812,8816) = 24×191×291×22031
LCM(8812,8816) = 19421648

Factors of 8812

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

1, 2, 4, 2203, 4406, 8812

Factors of 8816

List of positive integer factors of 8816 that divides 8816 without a remainder.

1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816

Least Common Multiple of 8812 and 8816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8812 and 8816, than apply into the LCM equation.

GCF(8812,8816) = 4
LCM(8812,8816) = ( 8812 × 8816) / 4
LCM(8812,8816) = 77686592 / 4
LCM(8812,8816) = 19421648

Properties of LCM 8812 and 8816

(i) The LCM of 8816 and 8812 is associative

LCM of 8812 and 8816 = LCM of 8816 and 8812

Related Least Common Multiples of 8812

Related Least Common Multiples of 8816

Frequently Asked Questions on LCM of 8812 and 8816

1. What is the LCM of 8812 and 8816?

Answer: LCM of 8812 and 8816 is 19421648.

2. 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.

3. What are the Factors of 8816?

Answer: Factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816. There are 20 integers that are factors of 8816. The greatest factor of 8816 is 8816.

4. How to Find the LCM of 8812 and 8816?

Answer:

Least Common Multiple of 8812 and 8816 = 19421648

Step 1: Find the prime factorization of 8812

8812 = 2 x 2 x 2203

Step 2: Find the prime factorization of 8816

8816 = 2 x 2 x 2 x 2 x 19 x 29

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

LCM = 19421648 = 2 x 2 x 2 x 2 x 19 x 29 x 2203

Step 4: Therefore, the least common multiple of 8812 and 8816 is 19421648.