Least Common Multiple of 8787 and 8788

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 8788 the smallest integer that is 77220156 that is divisible by both numbers.

Least Common Multiple (LCM) of 8787 and 8788 is 77220156.

LCM(8787,8788) = 77220156

LCM of 8787 and 8788

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

LCM of:
and

Least Common Multiple of 8787 and 8788

LCM of 8787 and 8788 is 77220156

Least common multiple can be found by multiplying the highest exponent prime factors of 8787 and 8788. First we will calculate the prime factors of 8787 and 8788.

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 8788


2 8788
2 4394
13 2197
13 169
13 13
1

Prime factors of 8788 are 2,13. Prime factorization of 8788 in exponential form is:

8788 = 22×133

Now multiplying the highest exponent prime factors to calculate the LCM of 8787 and 8788.

LCM(8787,8788) = 22×31×133×291×1011
LCM(8787,8788) = 77220156

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 8788

List of positive integer factors of 8788 that divides 8788 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788

Least Common Multiple of 8787 and 8788 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 8788, than apply into the LCM equation.

GCF(8787,8788) = 1
LCM(8787,8788) = ( 8787 × 8788) / 1
LCM(8787,8788) = 77220156 / 1
LCM(8787,8788) = 77220156

Properties of LCM 8787 and 8788

(i) The LCM of 8788 and 8787 is associative

LCM of 8787 and 8788 = LCM of 8788 and 8787

Related Least Common Multiples of 8787

Related Least Common Multiples of 8788

Frequently Asked Questions on LCM of 8787 and 8788

1. What is the LCM of 8787 and 8788?

Answer: LCM of 8787 and 8788 is 77220156.

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 8788?

Answer: Factors of 8788 are 1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788. There are 12 integers that are factors of 8788. The greatest factor of 8788 is 8788.

4. How to Find the LCM of 8787 and 8788?

Answer:

Least Common Multiple of 8787 and 8788 = 77220156

Step 1: Find the prime factorization of 8787

8787 = 3 x 29 x 101

Step 2: Find the prime factorization of 8788

8788 = 2 x 2 x 13 x 13 x 13

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

LCM = 77220156 = 2 x 2 x 3 x 13 x 13 x 13 x 29 x 101

Step 4: Therefore, the least common multiple of 8787 and 8788 is 77220156.