Least Common Multiple of 8783 and 8786

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 8786 the smallest integer that is 77167438 that is divisible by both numbers.

Least Common Multiple (LCM) of 8783 and 8786 is 77167438.

LCM(8783,8786) = 77167438

LCM of 8783 and 8786

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

LCM of:
and

Least Common Multiple of 8783 and 8786

LCM of 8783 and 8786 is 77167438

Least common multiple can be found by multiplying the highest exponent prime factors of 8783 and 8786. First we will calculate the prime factors of 8783 and 8786.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8783 and 8786.

LCM(8783,8786) = 21×231×1911×87831
LCM(8783,8786) = 77167438

Factors of 8783

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

1, 8783

Factors of 8786

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

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

Least Common Multiple of 8783 and 8786 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 8786, than apply into the LCM equation.

GCF(8783,8786) = 1
LCM(8783,8786) = ( 8783 × 8786) / 1
LCM(8783,8786) = 77167438 / 1
LCM(8783,8786) = 77167438

Properties of LCM 8783 and 8786

(i) The LCM of 8786 and 8783 is associative

LCM of 8783 and 8786 = LCM of 8786 and 8783

Related Least Common Multiples of 8783

Related Least Common Multiples of 8786

Frequently Asked Questions on LCM of 8783 and 8786

1. What is the LCM of 8783 and 8786?

Answer: LCM of 8783 and 8786 is 77167438.

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 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.

4. How to Find the LCM of 8783 and 8786?

Answer:

Least Common Multiple of 8783 and 8786 = 77167438

Step 1: Find the prime factorization of 8783

8783 = 8783

Step 2: Find the prime factorization of 8786

8786 = 2 x 23 x 191

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

LCM = 77167438 = 2 x 23 x 191 x 8783

Step 4: Therefore, the least common multiple of 8783 and 8786 is 77167438.