Least Common Multiple of 8783 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 8783 and 8789 the smallest integer that is 77193787 that is divisible by both numbers.

Least Common Multiple (LCM) of 8783 and 8789 is 77193787.

LCM(8783,8789) = 77193787

LCM of 8783 and 8789

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

LCM of:
and

Least Common Multiple of 8783 and 8789

LCM of 8783 and 8789 is 77193787

Least common multiple can be found by multiplying the highest exponent prime factors of 8783 and 8789. First we will calculate the prime factors of 8783 and 8789.

Prime Factorization of 8783


8783 8783
1

Prime factors of 8783 are 8783. Prime factorization of 8783 in exponential form is:

8783 = 87831

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 8783 and 8789.

LCM(8783,8789) = 111×171×471×87831
LCM(8783,8789) = 77193787

Factors of 8783

List of positive integer factors of 8783 that divides 8783 without a remainder.

1, 8783

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 8783 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 8783 and 8789, than apply into the LCM equation.

GCF(8783,8789) = 1
LCM(8783,8789) = ( 8783 × 8789) / 1
LCM(8783,8789) = 77193787 / 1
LCM(8783,8789) = 77193787

Properties of LCM 8783 and 8789

(i) The LCM of 8789 and 8783 is associative

LCM of 8783 and 8789 = LCM of 8789 and 8783

Related Least Common Multiples of 8783

Related Least Common Multiples of 8789

Frequently Asked Questions on LCM of 8783 and 8789

1. What is the LCM of 8783 and 8789?

Answer: LCM of 8783 and 8789 is 77193787.

2. What are the Factors of 8783?

Answer: Factors of 8783 are 1, 8783. There are 2 integers that are factors of 8783. The greatest factor of 8783 is 8783.

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 8783 and 8789?

Answer:

Least Common Multiple of 8783 and 8789 = 77193787

Step 1: Find the prime factorization of 8783

8783 = 8783

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 = 77193787 = 11 x 17 x 47 x 8783

Step 4: Therefore, the least common multiple of 8783 and 8789 is 77193787.