Least Common Multiple of 8805 and 8812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8805 and 8812 the smallest integer that is 77589660 that is divisible by both numbers.

Least Common Multiple (LCM) of 8805 and 8812 is 77589660.

LCM(8805,8812) = 77589660

LCM of 8805 and 8812

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

LCM of:
and

Least Common Multiple of 8805 and 8812

LCM of 8805 and 8812 is 77589660

Least common multiple can be found by multiplying the highest exponent prime factors of 8805 and 8812. First we will calculate the prime factors of 8805 and 8812.

Prime Factorization of 8805


3 8805
5 2935
587 587
1

Prime factors of 8805 are 3, 5,587. Prime factorization of 8805 in exponential form is:

8805 = 31×51×5871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8805 and 8812.

LCM(8805,8812) = 22×31×51×5871×22031
LCM(8805,8812) = 77589660

Factors of 8805

List of positive integer factors of 8805 that divides 8805 without a remainder.

1, 3, 5, 15, 587, 1761, 2935, 8805

Factors of 8812

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

1, 2, 4, 2203, 4406, 8812

Least Common Multiple of 8805 and 8812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8805 and 8812, than apply into the LCM equation.

GCF(8805,8812) = 1
LCM(8805,8812) = ( 8805 × 8812) / 1
LCM(8805,8812) = 77589660 / 1
LCM(8805,8812) = 77589660

Properties of LCM 8805 and 8812

(i) The LCM of 8812 and 8805 is associative

LCM of 8805 and 8812 = LCM of 8812 and 8805

Related Least Common Multiples of 8805

Related Least Common Multiples of 8812

Frequently Asked Questions on LCM of 8805 and 8812

1. What is the LCM of 8805 and 8812?

Answer: LCM of 8805 and 8812 is 77589660.

2. What are the Factors of 8805?

Answer: Factors of 8805 are 1, 3, 5, 15, 587, 1761, 2935, 8805. There are 8 integers that are factors of 8805. The greatest factor of 8805 is 8805.

3. 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.

4. How to Find the LCM of 8805 and 8812?

Answer:

Least Common Multiple of 8805 and 8812 = 77589660

Step 1: Find the prime factorization of 8805

8805 = 3 x 5 x 587

Step 2: Find the prime factorization of 8812

8812 = 2 x 2 x 2203

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

LCM = 77589660 = 2 x 2 x 3 x 5 x 587 x 2203

Step 4: Therefore, the least common multiple of 8805 and 8812 is 77589660.