Least Common Multiple of 8815 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 8815 and 8819 the smallest integer that is 77739485 that is divisible by both numbers.

Least Common Multiple (LCM) of 8815 and 8819 is 77739485.

LCM(8815,8819) = 77739485

LCM of 8815 and 8819

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

LCM of:
and

Least Common Multiple of 8815 and 8819

LCM of 8815 and 8819 is 77739485

Least common multiple can be found by multiplying the highest exponent prime factors of 8815 and 8819. First we will calculate the prime factors of 8815 and 8819.

Prime Factorization of 8815


5 8815
41 1763
43 43
1

Prime factors of 8815 are 5, 41,43. Prime factorization of 8815 in exponential form is:

8815 = 51×411×431

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 8815 and 8819.

LCM(8815,8819) = 51×411×431×88191
LCM(8815,8819) = 77739485

Factors of 8815

List of positive integer factors of 8815 that divides 8815 without a remainder.

1, 5, 41, 43, 205, 215, 1763, 8815

Factors of 8819

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

1, 8819

Least Common Multiple of 8815 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 8815 and 8819, than apply into the LCM equation.

GCF(8815,8819) = 1
LCM(8815,8819) = ( 8815 × 8819) / 1
LCM(8815,8819) = 77739485 / 1
LCM(8815,8819) = 77739485

Properties of LCM 8815 and 8819

(i) The LCM of 8819 and 8815 is associative

LCM of 8815 and 8819 = LCM of 8819 and 8815

Related Least Common Multiples of 8815

Related Least Common Multiples of 8819

Frequently Asked Questions on LCM of 8815 and 8819

1. What is the LCM of 8815 and 8819?

Answer: LCM of 8815 and 8819 is 77739485.

2. What are the Factors of 8815?

Answer: Factors of 8815 are 1, 5, 41, 43, 205, 215, 1763, 8815. There are 8 integers that are factors of 8815. The greatest factor of 8815 is 8815.

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 8815 and 8819?

Answer:

Least Common Multiple of 8815 and 8819 = 77739485

Step 1: Find the prime factorization of 8815

8815 = 5 x 41 x 43

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 = 77739485 = 5 x 41 x 43 x 8819

Step 4: Therefore, the least common multiple of 8815 and 8819 is 77739485.