Least Common Multiple of 8787 and 8794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8787 and 8794 the smallest integer that is 77272878 that is divisible by both numbers.

Least Common Multiple (LCM) of 8787 and 8794 is 77272878.

LCM(8787,8794) = 77272878

LCM of 8787 and 8794

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

LCM of:
and

Least Common Multiple of 8787 and 8794

LCM of 8787 and 8794 is 77272878

Least common multiple can be found by multiplying the highest exponent prime factors of 8787 and 8794. First we will calculate the prime factors of 8787 and 8794.

Prime Factorization of 8787


3 8787
29 2929
101 101
1

Prime factors of 8787 are 3, 29,101. Prime factorization of 8787 in exponential form is:

8787 = 31×291×1011

Prime Factorization of 8794


2 8794
4397 4397
1

Prime factors of 8794 are 2,4397. Prime factorization of 8794 in exponential form is:

8794 = 21×43971

Now multiplying the highest exponent prime factors to calculate the LCM of 8787 and 8794.

LCM(8787,8794) = 21×31×291×1011×43971
LCM(8787,8794) = 77272878

Factors of 8787

List of positive integer factors of 8787 that divides 8787 without a remainder.

1, 3, 29, 87, 101, 303, 2929, 8787

Factors of 8794

List of positive integer factors of 8794 that divides 8794 without a remainder.

1, 2, 4397, 8794

Least Common Multiple of 8787 and 8794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8787 and 8794, than apply into the LCM equation.

GCF(8787,8794) = 1
LCM(8787,8794) = ( 8787 × 8794) / 1
LCM(8787,8794) = 77272878 / 1
LCM(8787,8794) = 77272878

Properties of LCM 8787 and 8794

(i) The LCM of 8794 and 8787 is associative

LCM of 8787 and 8794 = LCM of 8794 and 8787

Related Least Common Multiples of 8787

Related Least Common Multiples of 8794

Frequently Asked Questions on LCM of 8787 and 8794

1. What is the LCM of 8787 and 8794?

Answer: LCM of 8787 and 8794 is 77272878.

2. What are the Factors of 8787?

Answer: Factors of 8787 are 1, 3, 29, 87, 101, 303, 2929, 8787. There are 8 integers that are factors of 8787. The greatest factor of 8787 is 8787.

3. What are the Factors of 8794?

Answer: Factors of 8794 are 1, 2, 4397, 8794. There are 4 integers that are factors of 8794. The greatest factor of 8794 is 8794.

4. How to Find the LCM of 8787 and 8794?

Answer:

Least Common Multiple of 8787 and 8794 = 77272878

Step 1: Find the prime factorization of 8787

8787 = 3 x 29 x 101

Step 2: Find the prime factorization of 8794

8794 = 2 x 4397

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

LCM = 77272878 = 2 x 3 x 29 x 101 x 4397

Step 4: Therefore, the least common multiple of 8787 and 8794 is 77272878.