Least Common Multiple of 8766 and 8772

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 8772 the smallest integer that is 12815892 that is divisible by both numbers.

Least Common Multiple (LCM) of 8766 and 8772 is 12815892.

LCM(8766,8772) = 12815892

LCM of 8766 and 8772

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

LCM of:
and

Least Common Multiple of 8766 and 8772

LCM of 8766 and 8772 is 12815892

Least common multiple can be found by multiplying the highest exponent prime factors of 8766 and 8772. First we will calculate the prime factors of 8766 and 8772.

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 8772


2 8772
2 4386
3 2193
17 731
43 43
1

Prime factors of 8772 are 2, 3, 17,43. Prime factorization of 8772 in exponential form is:

8772 = 22×31×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8766 and 8772.

LCM(8766,8772) = 22×32×171×431×4871
LCM(8766,8772) = 12815892

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 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772

Least Common Multiple of 8766 and 8772 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 8772, than apply into the LCM equation.

GCF(8766,8772) = 6
LCM(8766,8772) = ( 8766 × 8772) / 6
LCM(8766,8772) = 76895352 / 6
LCM(8766,8772) = 12815892

Properties of LCM 8766 and 8772

(i) The LCM of 8772 and 8766 is associative

LCM of 8766 and 8772 = LCM of 8772 and 8766

Related Least Common Multiples of 8766

Related Least Common Multiples of 8772

Frequently Asked Questions on LCM of 8766 and 8772

1. What is the LCM of 8766 and 8772?

Answer: LCM of 8766 and 8772 is 12815892.

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 8772?

Answer: Factors of 8772 are 1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772. There are 24 integers that are factors of 8772. The greatest factor of 8772 is 8772.

4. How to Find the LCM of 8766 and 8772?

Answer:

Least Common Multiple of 8766 and 8772 = 12815892

Step 1: Find the prime factorization of 8766

8766 = 2 x 3 x 3 x 487

Step 2: Find the prime factorization of 8772

8772 = 2 x 2 x 3 x 17 x 43

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

LCM = 12815892 = 2 x 2 x 3 x 3 x 17 x 43 x 487

Step 4: Therefore, the least common multiple of 8766 and 8772 is 12815892.