Least Common Multiple of 8766 and 8773

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 8773 the smallest integer that is 76904118 that is divisible by both numbers.

Least Common Multiple (LCM) of 8766 and 8773 is 76904118.

LCM(8766,8773) = 76904118

LCM of 8766 and 8773

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

LCM of:
and

Least Common Multiple of 8766 and 8773

LCM of 8766 and 8773 is 76904118

Least common multiple can be found by multiplying the highest exponent prime factors of 8766 and 8773. First we will calculate the prime factors of 8766 and 8773.

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 8773


31 8773
283 283
1

Prime factors of 8773 are 31,283. Prime factorization of 8773 in exponential form is:

8773 = 311×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 8766 and 8773.

LCM(8766,8773) = 21×32×311×2831×4871
LCM(8766,8773) = 76904118

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 8773

List of positive integer factors of 8773 that divides 8773 without a remainder.

1, 31, 283, 8773

Least Common Multiple of 8766 and 8773 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 8773, than apply into the LCM equation.

GCF(8766,8773) = 1
LCM(8766,8773) = ( 8766 × 8773) / 1
LCM(8766,8773) = 76904118 / 1
LCM(8766,8773) = 76904118

Properties of LCM 8766 and 8773

(i) The LCM of 8773 and 8766 is associative

LCM of 8766 and 8773 = LCM of 8773 and 8766

Related Least Common Multiples of 8766

Related Least Common Multiples of 8773

Frequently Asked Questions on LCM of 8766 and 8773

1. What is the LCM of 8766 and 8773?

Answer: LCM of 8766 and 8773 is 76904118.

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 8773?

Answer: Factors of 8773 are 1, 31, 283, 8773. There are 4 integers that are factors of 8773. The greatest factor of 8773 is 8773.

4. How to Find the LCM of 8766 and 8773?

Answer:

Least Common Multiple of 8766 and 8773 = 76904118

Step 1: Find the prime factorization of 8766

8766 = 2 x 3 x 3 x 487

Step 2: Find the prime factorization of 8773

8773 = 31 x 283

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

LCM = 76904118 = 2 x 3 x 3 x 31 x 283 x 487

Step 4: Therefore, the least common multiple of 8766 and 8773 is 76904118.