Least Common Multiple of 8766 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 8766 and 8771 the smallest integer that is 76886586 that is divisible by both numbers.

Least Common Multiple (LCM) of 8766 and 8771 is 76886586.

LCM(8766,8771) = 76886586

LCM of 8766 and 8771

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

LCM of:
and

Least Common Multiple of 8766 and 8771

LCM of 8766 and 8771 is 76886586

Least common multiple can be found by multiplying the highest exponent prime factors of 8766 and 8771. First we will calculate the prime factors of 8766 and 8771.

Prime Factorization of 8766


2 8766
3 4383
3 1461
487 487
1

Prime factors of 8766 are 2, 3,487. Prime factorization of 8766 in exponential form is:

8766 = 21×32×4871

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 8766 and 8771.

LCM(8766,8771) = 21×32×72×1791×4871
LCM(8766,8771) = 76886586

Factors of 8766

List of positive integer factors of 8766 that divides 8766 without a remainder.

1, 2, 3, 6, 9, 18, 487, 974, 1461, 2922, 4383, 8766

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 8766 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 8766 and 8771, than apply into the LCM equation.

GCF(8766,8771) = 1
LCM(8766,8771) = ( 8766 × 8771) / 1
LCM(8766,8771) = 76886586 / 1
LCM(8766,8771) = 76886586

Properties of LCM 8766 and 8771

(i) The LCM of 8771 and 8766 is associative

LCM of 8766 and 8771 = LCM of 8771 and 8766

Related Least Common Multiples of 8766

Related Least Common Multiples of 8771

Frequently Asked Questions on LCM of 8766 and 8771

1. What is the LCM of 8766 and 8771?

Answer: LCM of 8766 and 8771 is 76886586.

2. What are the Factors of 8766?

Answer: Factors of 8766 are 1, 2, 3, 6, 9, 18, 487, 974, 1461, 2922, 4383, 8766. There are 12 integers that are factors of 8766. The greatest factor of 8766 is 8766.

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 8766 and 8771?

Answer:

Least Common Multiple of 8766 and 8771 = 76886586

Step 1: Find the prime factorization of 8766

8766 = 2 x 3 x 3 x 487

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 = 76886586 = 2 x 3 x 3 x 7 x 7 x 179 x 487

Step 4: Therefore, the least common multiple of 8766 and 8771 is 76886586.