Least Common Multiple of 8816 and 8823

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 8823 the smallest integer that is 77783568 that is divisible by both numbers.

Least Common Multiple (LCM) of 8816 and 8823 is 77783568.

LCM(8816,8823) = 77783568

LCM of 8816 and 8823

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

LCM of:
and

Least Common Multiple of 8816 and 8823

LCM of 8816 and 8823 is 77783568

Least common multiple can be found by multiplying the highest exponent prime factors of 8816 and 8823. First we will calculate the prime factors of 8816 and 8823.

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 8823


3 8823
17 2941
173 173
1

Prime factors of 8823 are 3, 17,173. Prime factorization of 8823 in exponential form is:

8823 = 31×171×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8816 and 8823.

LCM(8816,8823) = 24×31×171×191×291×1731
LCM(8816,8823) = 77783568

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 8823

List of positive integer factors of 8823 that divides 8823 without a remainder.

1, 3, 17, 51, 173, 519, 2941, 8823

Least Common Multiple of 8816 and 8823 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 8823, than apply into the LCM equation.

GCF(8816,8823) = 1
LCM(8816,8823) = ( 8816 × 8823) / 1
LCM(8816,8823) = 77783568 / 1
LCM(8816,8823) = 77783568

Properties of LCM 8816 and 8823

(i) The LCM of 8823 and 8816 is associative

LCM of 8816 and 8823 = LCM of 8823 and 8816

Related Least Common Multiples of 8816

Related Least Common Multiples of 8823

Frequently Asked Questions on LCM of 8816 and 8823

1. What is the LCM of 8816 and 8823?

Answer: LCM of 8816 and 8823 is 77783568.

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 8823?

Answer: Factors of 8823 are 1, 3, 17, 51, 173, 519, 2941, 8823. There are 8 integers that are factors of 8823. The greatest factor of 8823 is 8823.

4. How to Find the LCM of 8816 and 8823?

Answer:

Least Common Multiple of 8816 and 8823 = 77783568

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 8823

8823 = 3 x 17 x 173

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

LCM = 77783568 = 2 x 2 x 2 x 2 x 3 x 17 x 19 x 29 x 173

Step 4: Therefore, the least common multiple of 8816 and 8823 is 77783568.