Least Common Multiple of 8780 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 8780 and 8786 the smallest integer that is 38570540 that is divisible by both numbers.

Least Common Multiple (LCM) of 8780 and 8786 is 38570540.

LCM(8780,8786) = 38570540

LCM of 8780 and 8786

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

LCM of:
and

Least Common Multiple of 8780 and 8786

LCM of 8780 and 8786 is 38570540

Least common multiple can be found by multiplying the highest exponent prime factors of 8780 and 8786. First we will calculate the prime factors of 8780 and 8786.

Prime Factorization of 8780


2 8780
2 4390
5 2195
439 439
1

Prime factors of 8780 are 2, 5,439. Prime factorization of 8780 in exponential form is:

8780 = 22×51×4391

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 8780 and 8786.

LCM(8780,8786) = 22×51×231×1911×4391
LCM(8780,8786) = 38570540

Factors of 8780

List of positive integer factors of 8780 that divides 8780 without a remainder.

1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780

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 8780 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 8780 and 8786, than apply into the LCM equation.

GCF(8780,8786) = 2
LCM(8780,8786) = ( 8780 × 8786) / 2
LCM(8780,8786) = 77141080 / 2
LCM(8780,8786) = 38570540

Properties of LCM 8780 and 8786

(i) The LCM of 8786 and 8780 is associative

LCM of 8780 and 8786 = LCM of 8786 and 8780

Related Least Common Multiples of 8780

Related Least Common Multiples of 8786

Frequently Asked Questions on LCM of 8780 and 8786

1. What is the LCM of 8780 and 8786?

Answer: LCM of 8780 and 8786 is 38570540.

2. What are the Factors of 8780?

Answer: Factors of 8780 are 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780. There are 12 integers that are factors of 8780. The greatest factor of 8780 is 8780.

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 8780 and 8786?

Answer:

Least Common Multiple of 8780 and 8786 = 38570540

Step 1: Find the prime factorization of 8780

8780 = 2 x 2 x 5 x 439

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 = 38570540 = 2 x 2 x 5 x 23 x 191 x 439

Step 4: Therefore, the least common multiple of 8780 and 8786 is 38570540.