Least Common Multiple of 8785 and 8793

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 8793 the smallest integer that is 77246505 that is divisible by both numbers.

Least Common Multiple (LCM) of 8785 and 8793 is 77246505.

LCM(8785,8793) = 77246505

LCM of 8785 and 8793

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

LCM of:
and

Least Common Multiple of 8785 and 8793

LCM of 8785 and 8793 is 77246505

Least common multiple can be found by multiplying the highest exponent prime factors of 8785 and 8793. First we will calculate the prime factors of 8785 and 8793.

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 8793


3 8793
3 2931
977 977
1

Prime factors of 8793 are 3,977. Prime factorization of 8793 in exponential form is:

8793 = 32×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 8785 and 8793.

LCM(8785,8793) = 32×51×71×2511×9771
LCM(8785,8793) = 77246505

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 8793

List of positive integer factors of 8793 that divides 8793 without a remainder.

1, 3, 9, 977, 2931, 8793

Least Common Multiple of 8785 and 8793 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 8793, than apply into the LCM equation.

GCF(8785,8793) = 1
LCM(8785,8793) = ( 8785 × 8793) / 1
LCM(8785,8793) = 77246505 / 1
LCM(8785,8793) = 77246505

Properties of LCM 8785 and 8793

(i) The LCM of 8793 and 8785 is associative

LCM of 8785 and 8793 = LCM of 8793 and 8785

Related Least Common Multiples of 8785

Related Least Common Multiples of 8793

Frequently Asked Questions on LCM of 8785 and 8793

1. What is the LCM of 8785 and 8793?

Answer: LCM of 8785 and 8793 is 77246505.

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 8793?

Answer: Factors of 8793 are 1, 3, 9, 977, 2931, 8793. There are 6 integers that are factors of 8793. The greatest factor of 8793 is 8793.

4. How to Find the LCM of 8785 and 8793?

Answer:

Least Common Multiple of 8785 and 8793 = 77246505

Step 1: Find the prime factorization of 8785

8785 = 5 x 7 x 251

Step 2: Find the prime factorization of 8793

8793 = 3 x 3 x 977

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

LCM = 77246505 = 3 x 3 x 5 x 7 x 251 x 977

Step 4: Therefore, the least common multiple of 8785 and 8793 is 77246505.