Least Common Multiple of 8812 and 8819

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 8819 the smallest integer that is 77713028 that is divisible by both numbers.

Least Common Multiple (LCM) of 8812 and 8819 is 77713028.

LCM(8812,8819) = 77713028

LCM of 8812 and 8819

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

LCM of:
and

Least Common Multiple of 8812 and 8819

LCM of 8812 and 8819 is 77713028

Least common multiple can be found by multiplying the highest exponent prime factors of 8812 and 8819. First we will calculate the prime factors of 8812 and 8819.

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 8819


8819 8819
1

Prime factors of 8819 are 8819. Prime factorization of 8819 in exponential form is:

8819 = 88191

Now multiplying the highest exponent prime factors to calculate the LCM of 8812 and 8819.

LCM(8812,8819) = 22×22031×88191
LCM(8812,8819) = 77713028

Factors of 8812

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

1, 2, 4, 2203, 4406, 8812

Factors of 8819

List of positive integer factors of 8819 that divides 8819 without a remainder.

1, 8819

Least Common Multiple of 8812 and 8819 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 8819, than apply into the LCM equation.

GCF(8812,8819) = 1
LCM(8812,8819) = ( 8812 × 8819) / 1
LCM(8812,8819) = 77713028 / 1
LCM(8812,8819) = 77713028

Properties of LCM 8812 and 8819

(i) The LCM of 8819 and 8812 is associative

LCM of 8812 and 8819 = LCM of 8819 and 8812

Related Least Common Multiples of 8812

Related Least Common Multiples of 8819

Frequently Asked Questions on LCM of 8812 and 8819

1. What is the LCM of 8812 and 8819?

Answer: LCM of 8812 and 8819 is 77713028.

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 8819?

Answer: Factors of 8819 are 1, 8819. There are 2 integers that are factors of 8819. The greatest factor of 8819 is 8819.

4. How to Find the LCM of 8812 and 8819?

Answer:

Least Common Multiple of 8812 and 8819 = 77713028

Step 1: Find the prime factorization of 8812

8812 = 2 x 2 x 2203

Step 2: Find the prime factorization of 8819

8819 = 8819

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

LCM = 77713028 = 2 x 2 x 2203 x 8819

Step 4: Therefore, the least common multiple of 8812 and 8819 is 77713028.