Least Common Multiple of 8767 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 8767 and 8771 the smallest integer that is 76895357 that is divisible by both numbers.

Least Common Multiple (LCM) of 8767 and 8771 is 76895357.

LCM(8767,8771) = 76895357

LCM of 8767 and 8771

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

LCM of:
and

Least Common Multiple of 8767 and 8771

LCM of 8767 and 8771 is 76895357

Least common multiple can be found by multiplying the highest exponent prime factors of 8767 and 8771. First we will calculate the prime factors of 8767 and 8771.

Prime Factorization of 8767


11 8767
797 797
1

Prime factors of 8767 are 11,797. Prime factorization of 8767 in exponential form is:

8767 = 111×7971

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 8767 and 8771.

LCM(8767,8771) = 72×111×1791×7971
LCM(8767,8771) = 76895357

Factors of 8767

List of positive integer factors of 8767 that divides 8767 without a remainder.

1, 11, 797, 8767

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 8767 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 8767 and 8771, than apply into the LCM equation.

GCF(8767,8771) = 1
LCM(8767,8771) = ( 8767 × 8771) / 1
LCM(8767,8771) = 76895357 / 1
LCM(8767,8771) = 76895357

Properties of LCM 8767 and 8771

(i) The LCM of 8771 and 8767 is associative

LCM of 8767 and 8771 = LCM of 8771 and 8767

Related Least Common Multiples of 8767

Related Least Common Multiples of 8771

Frequently Asked Questions on LCM of 8767 and 8771

1. What is the LCM of 8767 and 8771?

Answer: LCM of 8767 and 8771 is 76895357.

2. What are the Factors of 8767?

Answer: Factors of 8767 are 1, 11, 797, 8767. There are 4 integers that are factors of 8767. The greatest factor of 8767 is 8767.

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 8767 and 8771?

Answer:

Least Common Multiple of 8767 and 8771 = 76895357

Step 1: Find the prime factorization of 8767

8767 = 11 x 797

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 = 76895357 = 7 x 7 x 11 x 179 x 797

Step 4: Therefore, the least common multiple of 8767 and 8771 is 76895357.