Least Common Multiple of 8786 and 8789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8786 and 8789 the smallest integer that is 77220154 that is divisible by both numbers.

Least Common Multiple (LCM) of 8786 and 8789 is 77220154.

LCM(8786,8789) = 77220154

LCM of 8786 and 8789

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

LCM of:
and

Least Common Multiple of 8786 and 8789

LCM of 8786 and 8789 is 77220154

Least common multiple can be found by multiplying the highest exponent prime factors of 8786 and 8789. First we will calculate the prime factors of 8786 and 8789.

Prime Factorization of 8786


2 8786
23 4393
191 191
1

Prime factors of 8786 are 2, 23,191. Prime factorization of 8786 in exponential form is:

8786 = 21×231×1911

Prime Factorization of 8789


11 8789
17 799
47 47
1

Prime factors of 8789 are 11, 17,47. Prime factorization of 8789 in exponential form is:

8789 = 111×171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8786 and 8789.

LCM(8786,8789) = 21×111×171×231×471×1911
LCM(8786,8789) = 77220154

Factors of 8786

List of positive integer factors of 8786 that divides 8786 without a remainder.

1, 2, 23, 46, 191, 382, 4393, 8786

Factors of 8789

List of positive integer factors of 8789 that divides 8789 without a remainder.

1, 11, 17, 47, 187, 517, 799, 8789

Least Common Multiple of 8786 and 8789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8786 and 8789, than apply into the LCM equation.

GCF(8786,8789) = 1
LCM(8786,8789) = ( 8786 × 8789) / 1
LCM(8786,8789) = 77220154 / 1
LCM(8786,8789) = 77220154

Properties of LCM 8786 and 8789

(i) The LCM of 8789 and 8786 is associative

LCM of 8786 and 8789 = LCM of 8789 and 8786

Related Least Common Multiples of 8786

Related Least Common Multiples of 8789

Frequently Asked Questions on LCM of 8786 and 8789

1. What is the LCM of 8786 and 8789?

Answer: LCM of 8786 and 8789 is 77220154.

2. What are the Factors of 8786?

Answer: Factors of 8786 are 1, 2, 23, 46, 191, 382, 4393, 8786. There are 8 integers that are factors of 8786. The greatest factor of 8786 is 8786.

3. What are the Factors of 8789?

Answer: Factors of 8789 are 1, 11, 17, 47, 187, 517, 799, 8789. There are 8 integers that are factors of 8789. The greatest factor of 8789 is 8789.

4. How to Find the LCM of 8786 and 8789?

Answer:

Least Common Multiple of 8786 and 8789 = 77220154

Step 1: Find the prime factorization of 8786

8786 = 2 x 23 x 191

Step 2: Find the prime factorization of 8789

8789 = 11 x 17 x 47

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

LCM = 77220154 = 2 x 11 x 17 x 23 x 47 x 191

Step 4: Therefore, the least common multiple of 8786 and 8789 is 77220154.