Least Common Multiple of 8766 and 8774

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 8774 the smallest integer that is 38456442 that is divisible by both numbers.

Least Common Multiple (LCM) of 8766 and 8774 is 38456442.

LCM(8766,8774) = 38456442

LCM of 8766 and 8774

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

LCM of:
and

Least Common Multiple of 8766 and 8774

LCM of 8766 and 8774 is 38456442

Least common multiple can be found by multiplying the highest exponent prime factors of 8766 and 8774. First we will calculate the prime factors of 8766 and 8774.

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 8774


2 8774
41 4387
107 107
1

Prime factors of 8774 are 2, 41,107. Prime factorization of 8774 in exponential form is:

8774 = 21×411×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8766 and 8774.

LCM(8766,8774) = 21×32×411×1071×4871
LCM(8766,8774) = 38456442

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 8774

List of positive integer factors of 8774 that divides 8774 without a remainder.

1, 2, 41, 82, 107, 214, 4387, 8774

Least Common Multiple of 8766 and 8774 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 8774, than apply into the LCM equation.

GCF(8766,8774) = 2
LCM(8766,8774) = ( 8766 × 8774) / 2
LCM(8766,8774) = 76912884 / 2
LCM(8766,8774) = 38456442

Properties of LCM 8766 and 8774

(i) The LCM of 8774 and 8766 is associative

LCM of 8766 and 8774 = LCM of 8774 and 8766

Related Least Common Multiples of 8766

Related Least Common Multiples of 8774

Frequently Asked Questions on LCM of 8766 and 8774

1. What is the LCM of 8766 and 8774?

Answer: LCM of 8766 and 8774 is 38456442.

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 8774?

Answer: Factors of 8774 are 1, 2, 41, 82, 107, 214, 4387, 8774. There are 8 integers that are factors of 8774. The greatest factor of 8774 is 8774.

4. How to Find the LCM of 8766 and 8774?

Answer:

Least Common Multiple of 8766 and 8774 = 38456442

Step 1: Find the prime factorization of 8766

8766 = 2 x 3 x 3 x 487

Step 2: Find the prime factorization of 8774

8774 = 2 x 41 x 107

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

LCM = 38456442 = 2 x 3 x 3 x 41 x 107 x 487

Step 4: Therefore, the least common multiple of 8766 and 8774 is 38456442.