Least Common Multiple of 8764 and 8771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8764 and 8771 the smallest integer that is 10981292 that is divisible by both numbers.

Least Common Multiple (LCM) of 8764 and 8771 is 10981292.

LCM(8764,8771) = 10981292

LCM of 8764 and 8771

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

LCM of:
and

Least Common Multiple of 8764 and 8771

LCM of 8764 and 8771 is 10981292

Least common multiple can be found by multiplying the highest exponent prime factors of 8764 and 8771. First we will calculate the prime factors of 8764 and 8771.

Prime Factorization of 8764


2 8764
2 4382
7 2191
313 313
1

Prime factors of 8764 are 2, 7,313. Prime factorization of 8764 in exponential form is:

8764 = 22×71×3131

Prime Factorization of 8771


7 8771
7 1253
179 179
1

Prime factors of 8771 are 7,179. Prime factorization of 8771 in exponential form is:

8771 = 72×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 8764 and 8771.

LCM(8764,8771) = 22×72×1791×3131
LCM(8764,8771) = 10981292

Factors of 8764

List of positive integer factors of 8764 that divides 8764 without a remainder.

1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764

Factors of 8771

List of positive integer factors of 8771 that divides 8771 without a remainder.

1, 7, 49, 179, 1253, 8771

Least Common Multiple of 8764 and 8771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8764 and 8771, than apply into the LCM equation.

GCF(8764,8771) = 7
LCM(8764,8771) = ( 8764 × 8771) / 7
LCM(8764,8771) = 76869044 / 7
LCM(8764,8771) = 10981292

Properties of LCM 8764 and 8771

(i) The LCM of 8771 and 8764 is associative

LCM of 8764 and 8771 = LCM of 8771 and 8764

Related Least Common Multiples of 8764

Related Least Common Multiples of 8771

Frequently Asked Questions on LCM of 8764 and 8771

1. What is the LCM of 8764 and 8771?

Answer: LCM of 8764 and 8771 is 10981292.

2. What are the Factors of 8764?

Answer: Factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764. There are 12 integers that are factors of 8764. The greatest factor of 8764 is 8764.

3. What are the Factors of 8771?

Answer: Factors of 8771 are 1, 7, 49, 179, 1253, 8771. There are 6 integers that are factors of 8771. The greatest factor of 8771 is 8771.

4. How to Find the LCM of 8764 and 8771?

Answer:

Least Common Multiple of 8764 and 8771 = 10981292

Step 1: Find the prime factorization of 8764

8764 = 2 x 2 x 7 x 313

Step 2: Find the prime factorization of 8771

8771 = 7 x 7 x 179

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

LCM = 10981292 = 2 x 2 x 7 x 7 x 179 x 313

Step 4: Therefore, the least common multiple of 8764 and 8771 is 10981292.