Least Common Multiple of 8816 and 8822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8816 and 8822 the smallest integer that is 38887376 that is divisible by both numbers.

Least Common Multiple (LCM) of 8816 and 8822 is 38887376.

LCM(8816,8822) = 38887376

LCM of 8816 and 8822

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

LCM of:
and

Least Common Multiple of 8816 and 8822

LCM of 8816 and 8822 is 38887376

Least common multiple can be found by multiplying the highest exponent prime factors of 8816 and 8822. First we will calculate the prime factors of 8816 and 8822.

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

Prime Factorization of 8822


2 8822
11 4411
401 401
1

Prime factors of 8822 are 2, 11,401. Prime factorization of 8822 in exponential form is:

8822 = 21×111×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 8816 and 8822.

LCM(8816,8822) = 24×111×191×291×4011
LCM(8816,8822) = 38887376

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

Factors of 8822

List of positive integer factors of 8822 that divides 8822 without a remainder.

1, 2, 11, 22, 401, 802, 4411, 8822

Least Common Multiple of 8816 and 8822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8816 and 8822, than apply into the LCM equation.

GCF(8816,8822) = 2
LCM(8816,8822) = ( 8816 × 8822) / 2
LCM(8816,8822) = 77774752 / 2
LCM(8816,8822) = 38887376

Properties of LCM 8816 and 8822

(i) The LCM of 8822 and 8816 is associative

LCM of 8816 and 8822 = LCM of 8822 and 8816

Related Least Common Multiples of 8816

Related Least Common Multiples of 8822

Frequently Asked Questions on LCM of 8816 and 8822

1. What is the LCM of 8816 and 8822?

Answer: LCM of 8816 and 8822 is 38887376.

2. 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.

3. What are the Factors of 8822?

Answer: Factors of 8822 are 1, 2, 11, 22, 401, 802, 4411, 8822. There are 8 integers that are factors of 8822. The greatest factor of 8822 is 8822.

4. How to Find the LCM of 8816 and 8822?

Answer:

Least Common Multiple of 8816 and 8822 = 38887376

Step 1: Find the prime factorization of 8816

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

Step 2: Find the prime factorization of 8822

8822 = 2 x 11 x 401

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

LCM = 38887376 = 2 x 2 x 2 x 2 x 11 x 19 x 29 x 401

Step 4: Therefore, the least common multiple of 8816 and 8822 is 38887376.