Least Common Multiple of 8780 and 8785

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 8785 the smallest integer that is 15426460 that is divisible by both numbers.

Least Common Multiple (LCM) of 8780 and 8785 is 15426460.

LCM(8780,8785) = 15426460

LCM of 8780 and 8785

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

LCM of:
and

Least Common Multiple of 8780 and 8785

LCM of 8780 and 8785 is 15426460

Least common multiple can be found by multiplying the highest exponent prime factors of 8780 and 8785. First we will calculate the prime factors of 8780 and 8785.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8780 and 8785.

LCM(8780,8785) = 22×51×71×2511×4391
LCM(8780,8785) = 15426460

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 8785

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

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

Least Common Multiple of 8780 and 8785 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 8785, than apply into the LCM equation.

GCF(8780,8785) = 5
LCM(8780,8785) = ( 8780 × 8785) / 5
LCM(8780,8785) = 77132300 / 5
LCM(8780,8785) = 15426460

Properties of LCM 8780 and 8785

(i) The LCM of 8785 and 8780 is associative

LCM of 8780 and 8785 = LCM of 8785 and 8780

Related Least Common Multiples of 8780

Related Least Common Multiples of 8785

Frequently Asked Questions on LCM of 8780 and 8785

1. What is the LCM of 8780 and 8785?

Answer: LCM of 8780 and 8785 is 15426460.

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 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.

4. How to Find the LCM of 8780 and 8785?

Answer:

Least Common Multiple of 8780 and 8785 = 15426460

Step 1: Find the prime factorization of 8780

8780 = 2 x 2 x 5 x 439

Step 2: Find the prime factorization of 8785

8785 = 5 x 7 x 251

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

LCM = 15426460 = 2 x 2 x 5 x 7 x 251 x 439

Step 4: Therefore, the least common multiple of 8780 and 8785 is 15426460.