Least Common Multiple of 8785 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 8785 and 8789 the smallest integer that is 77211365 that is divisible by both numbers.

Least Common Multiple (LCM) of 8785 and 8789 is 77211365.

LCM(8785,8789) = 77211365

LCM of 8785 and 8789

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

LCM of:
and

Least Common Multiple of 8785 and 8789

LCM of 8785 and 8789 is 77211365

Least common multiple can be found by multiplying the highest exponent prime factors of 8785 and 8789. First we will calculate the prime factors of 8785 and 8789.

Prime Factorization of 8785


5 8785
7 1757
251 251
1

Prime factors of 8785 are 5, 7,251. Prime factorization of 8785 in exponential form is:

8785 = 51×71×2511

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 8785 and 8789.

LCM(8785,8789) = 51×71×111×171×471×2511
LCM(8785,8789) = 77211365

Factors of 8785

List of positive integer factors of 8785 that divides 8785 without a remainder.

1, 5, 7, 35, 251, 1255, 1757, 8785

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 8785 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 8785 and 8789, than apply into the LCM equation.

GCF(8785,8789) = 1
LCM(8785,8789) = ( 8785 × 8789) / 1
LCM(8785,8789) = 77211365 / 1
LCM(8785,8789) = 77211365

Properties of LCM 8785 and 8789

(i) The LCM of 8789 and 8785 is associative

LCM of 8785 and 8789 = LCM of 8789 and 8785

Frequently Asked Questions on LCM of 8785 and 8789

1. What is the LCM of 8785 and 8789?

Answer: LCM of 8785 and 8789 is 77211365.

2. What are the Factors of 8785?

Answer: Factors of 8785 are 1, 5, 7, 35, 251, 1255, 1757, 8785. There are 8 integers that are factors of 8785. The greatest factor of 8785 is 8785.

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 8785 and 8789?

Answer:

Least Common Multiple of 8785 and 8789 = 77211365

Step 1: Find the prime factorization of 8785

8785 = 5 x 7 x 251

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 = 77211365 = 5 x 7 x 11 x 17 x 47 x 251

Step 4: Therefore, the least common multiple of 8785 and 8789 is 77211365.