Least Common Multiple of 8789 and 8794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8789 and 8794 the smallest integer that is 77290466 that is divisible by both numbers.

Least Common Multiple (LCM) of 8789 and 8794 is 77290466.

LCM(8789,8794) = 77290466

LCM of 8789 and 8794

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

LCM of:
and

Least Common Multiple of 8789 and 8794

LCM of 8789 and 8794 is 77290466

Least common multiple can be found by multiplying the highest exponent prime factors of 8789 and 8794. First we will calculate the prime factors of 8789 and 8794.

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

Prime Factorization of 8794


2 8794
4397 4397
1

Prime factors of 8794 are 2,4397. Prime factorization of 8794 in exponential form is:

8794 = 21×43971

Now multiplying the highest exponent prime factors to calculate the LCM of 8789 and 8794.

LCM(8789,8794) = 21×111×171×471×43971
LCM(8789,8794) = 77290466

Factors of 8789

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

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

Factors of 8794

List of positive integer factors of 8794 that divides 8794 without a remainder.

1, 2, 4397, 8794

Least Common Multiple of 8789 and 8794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8789 and 8794, than apply into the LCM equation.

GCF(8789,8794) = 1
LCM(8789,8794) = ( 8789 × 8794) / 1
LCM(8789,8794) = 77290466 / 1
LCM(8789,8794) = 77290466

Properties of LCM 8789 and 8794

(i) The LCM of 8794 and 8789 is associative

LCM of 8789 and 8794 = LCM of 8794 and 8789

Related Least Common Multiples of 8789

Related Least Common Multiples of 8794

Frequently Asked Questions on LCM of 8789 and 8794

1. What is the LCM of 8789 and 8794?

Answer: LCM of 8789 and 8794 is 77290466.

2. 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.

3. What are the Factors of 8794?

Answer: Factors of 8794 are 1, 2, 4397, 8794. There are 4 integers that are factors of 8794. The greatest factor of 8794 is 8794.

4. How to Find the LCM of 8789 and 8794?

Answer:

Least Common Multiple of 8789 and 8794 = 77290466

Step 1: Find the prime factorization of 8789

8789 = 11 x 17 x 47

Step 2: Find the prime factorization of 8794

8794 = 2 x 4397

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

LCM = 77290466 = 2 x 11 x 17 x 47 x 4397

Step 4: Therefore, the least common multiple of 8789 and 8794 is 77290466.