Least Common Multiple of 8785 and 8788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8785 and 8788 the smallest integer that is 77202580 that is divisible by both numbers.

Least Common Multiple (LCM) of 8785 and 8788 is 77202580.

LCM(8785,8788) = 77202580

LCM of 8785 and 8788

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

LCM of:
and

Least Common Multiple of 8785 and 8788

LCM of 8785 and 8788 is 77202580

Least common multiple can be found by multiplying the highest exponent prime factors of 8785 and 8788. First we will calculate the prime factors of 8785 and 8788.

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

Prime Factorization of 8788


2 8788
2 4394
13 2197
13 169
13 13
1

Prime factors of 8788 are 2,13. Prime factorization of 8788 in exponential form is:

8788 = 22×133

Now multiplying the highest exponent prime factors to calculate the LCM of 8785 and 8788.

LCM(8785,8788) = 22×51×71×133×2511
LCM(8785,8788) = 77202580

Factors of 8785

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

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

Factors of 8788

List of positive integer factors of 8788 that divides 8788 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788

Least Common Multiple of 8785 and 8788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8785 and 8788, than apply into the LCM equation.

GCF(8785,8788) = 1
LCM(8785,8788) = ( 8785 × 8788) / 1
LCM(8785,8788) = 77202580 / 1
LCM(8785,8788) = 77202580

Properties of LCM 8785 and 8788

(i) The LCM of 8788 and 8785 is associative

LCM of 8785 and 8788 = LCM of 8788 and 8785

Related Least Common Multiples of 8785

Related Least Common Multiples of 8788

Frequently Asked Questions on LCM of 8785 and 8788

1. What is the LCM of 8785 and 8788?

Answer: LCM of 8785 and 8788 is 77202580.

2. 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.

3. What are the Factors of 8788?

Answer: Factors of 8788 are 1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788. There are 12 integers that are factors of 8788. The greatest factor of 8788 is 8788.

4. How to Find the LCM of 8785 and 8788?

Answer:

Least Common Multiple of 8785 and 8788 = 77202580

Step 1: Find the prime factorization of 8785

8785 = 5 x 7 x 251

Step 2: Find the prime factorization of 8788

8788 = 2 x 2 x 13 x 13 x 13

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

LCM = 77202580 = 2 x 2 x 5 x 7 x 13 x 13 x 13 x 251

Step 4: Therefore, the least common multiple of 8785 and 8788 is 77202580.