Least Common Multiple of 8816 and 8821

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 8821 the smallest integer that is 77765936 that is divisible by both numbers.

Least Common Multiple (LCM) of 8816 and 8821 is 77765936.

LCM(8816,8821) = 77765936

LCM of 8816 and 8821

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

LCM of:
and

Least Common Multiple of 8816 and 8821

LCM of 8816 and 8821 is 77765936

Least common multiple can be found by multiplying the highest exponent prime factors of 8816 and 8821. First we will calculate the prime factors of 8816 and 8821.

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 8821


8821 8821
1

Prime factors of 8821 are 8821. Prime factorization of 8821 in exponential form is:

8821 = 88211

Now multiplying the highest exponent prime factors to calculate the LCM of 8816 and 8821.

LCM(8816,8821) = 24×191×291×88211
LCM(8816,8821) = 77765936

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 8821

List of positive integer factors of 8821 that divides 8821 without a remainder.

1, 8821

Least Common Multiple of 8816 and 8821 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 8821, than apply into the LCM equation.

GCF(8816,8821) = 1
LCM(8816,8821) = ( 8816 × 8821) / 1
LCM(8816,8821) = 77765936 / 1
LCM(8816,8821) = 77765936

Properties of LCM 8816 and 8821

(i) The LCM of 8821 and 8816 is associative

LCM of 8816 and 8821 = LCM of 8821 and 8816

Related Least Common Multiples of 8816

Related Least Common Multiples of 8821

Frequently Asked Questions on LCM of 8816 and 8821

1. What is the LCM of 8816 and 8821?

Answer: LCM of 8816 and 8821 is 77765936.

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 8821?

Answer: Factors of 8821 are 1, 8821. There are 2 integers that are factors of 8821. The greatest factor of 8821 is 8821.

4. How to Find the LCM of 8816 and 8821?

Answer:

Least Common Multiple of 8816 and 8821 = 77765936

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 8821

8821 = 8821

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

LCM = 77765936 = 2 x 2 x 2 x 2 x 19 x 29 x 8821

Step 4: Therefore, the least common multiple of 8816 and 8821 is 77765936.