Least Common Multiple of 8816 and 8824

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 8824 the smallest integer that is 9724048 that is divisible by both numbers.

Least Common Multiple (LCM) of 8816 and 8824 is 9724048.

LCM(8816,8824) = 9724048

LCM of 8816 and 8824

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

LCM of:
and

Least Common Multiple of 8816 and 8824

LCM of 8816 and 8824 is 9724048

Least common multiple can be found by multiplying the highest exponent prime factors of 8816 and 8824. First we will calculate the prime factors of 8816 and 8824.

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 8824


2 8824
2 4412
2 2206
1103 1103
1

Prime factors of 8824 are 2,1103. Prime factorization of 8824 in exponential form is:

8824 = 23×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 8816 and 8824.

LCM(8816,8824) = 24×191×291×11031
LCM(8816,8824) = 9724048

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 8824

List of positive integer factors of 8824 that divides 8824 without a remainder.

1, 2, 4, 8, 1103, 2206, 4412, 8824

Least Common Multiple of 8816 and 8824 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 8824, than apply into the LCM equation.

GCF(8816,8824) = 8
LCM(8816,8824) = ( 8816 × 8824) / 8
LCM(8816,8824) = 77792384 / 8
LCM(8816,8824) = 9724048

Properties of LCM 8816 and 8824

(i) The LCM of 8824 and 8816 is associative

LCM of 8816 and 8824 = LCM of 8824 and 8816

Related Least Common Multiples of 8816

Related Least Common Multiples of 8824

Frequently Asked Questions on LCM of 8816 and 8824

1. What is the LCM of 8816 and 8824?

Answer: LCM of 8816 and 8824 is 9724048.

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 8824?

Answer: Factors of 8824 are 1, 2, 4, 8, 1103, 2206, 4412, 8824. There are 8 integers that are factors of 8824. The greatest factor of 8824 is 8824.

4. How to Find the LCM of 8816 and 8824?

Answer:

Least Common Multiple of 8816 and 8824 = 9724048

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 8824

8824 = 2 x 2 x 2 x 1103

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

LCM = 9724048 = 2 x 2 x 2 x 2 x 19 x 29 x 1103

Step 4: Therefore, the least common multiple of 8816 and 8824 is 9724048.