Least Common Multiple of 8812 and 8817

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 8817 the smallest integer that is 77695404 that is divisible by both numbers.

Least Common Multiple (LCM) of 8812 and 8817 is 77695404.

LCM(8812,8817) = 77695404

LCM of 8812 and 8817

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

LCM of:
and

Least Common Multiple of 8812 and 8817

LCM of 8812 and 8817 is 77695404

Least common multiple can be found by multiplying the highest exponent prime factors of 8812 and 8817. First we will calculate the prime factors of 8812 and 8817.

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 8817


3 8817
2939 2939
1

Prime factors of 8817 are 3,2939. Prime factorization of 8817 in exponential form is:

8817 = 31×29391

Now multiplying the highest exponent prime factors to calculate the LCM of 8812 and 8817.

LCM(8812,8817) = 22×31×22031×29391
LCM(8812,8817) = 77695404

Factors of 8812

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

1, 2, 4, 2203, 4406, 8812

Factors of 8817

List of positive integer factors of 8817 that divides 8817 without a remainder.

1, 3, 2939, 8817

Least Common Multiple of 8812 and 8817 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 8817, than apply into the LCM equation.

GCF(8812,8817) = 1
LCM(8812,8817) = ( 8812 × 8817) / 1
LCM(8812,8817) = 77695404 / 1
LCM(8812,8817) = 77695404

Properties of LCM 8812 and 8817

(i) The LCM of 8817 and 8812 is associative

LCM of 8812 and 8817 = LCM of 8817 and 8812

Related Least Common Multiples of 8812

Related Least Common Multiples of 8817

Frequently Asked Questions on LCM of 8812 and 8817

1. What is the LCM of 8812 and 8817?

Answer: LCM of 8812 and 8817 is 77695404.

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 8817?

Answer: Factors of 8817 are 1, 3, 2939, 8817. There are 4 integers that are factors of 8817. The greatest factor of 8817 is 8817.

4. How to Find the LCM of 8812 and 8817?

Answer:

Least Common Multiple of 8812 and 8817 = 77695404

Step 1: Find the prime factorization of 8812

8812 = 2 x 2 x 2203

Step 2: Find the prime factorization of 8817

8817 = 3 x 2939

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

LCM = 77695404 = 2 x 2 x 3 x 2203 x 2939

Step 4: Therefore, the least common multiple of 8812 and 8817 is 77695404.