Least Common Multiple of 8747 and 8751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8747 and 8751 the smallest integer that is 76544997 that is divisible by both numbers.

Least Common Multiple (LCM) of 8747 and 8751 is 76544997.

LCM(8747,8751) = 76544997

LCM of 8747 and 8751

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

LCM of:
and

Least Common Multiple of 8747 and 8751

LCM of 8747 and 8751 is 76544997

Least common multiple can be found by multiplying the highest exponent prime factors of 8747 and 8751. First we will calculate the prime factors of 8747 and 8751.

Prime Factorization of 8747


8747 8747
1

Prime factors of 8747 are 8747. Prime factorization of 8747 in exponential form is:

8747 = 87471

Prime Factorization of 8751


3 8751
2917 2917
1

Prime factors of 8751 are 3,2917. Prime factorization of 8751 in exponential form is:

8751 = 31×29171

Now multiplying the highest exponent prime factors to calculate the LCM of 8747 and 8751.

LCM(8747,8751) = 31×29171×87471
LCM(8747,8751) = 76544997

Factors of 8747

List of positive integer factors of 8747 that divides 8747 without a remainder.

1, 8747

Factors of 8751

List of positive integer factors of 8751 that divides 8751 without a remainder.

1, 3, 2917, 8751

Least Common Multiple of 8747 and 8751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8747 and 8751, than apply into the LCM equation.

GCF(8747,8751) = 1
LCM(8747,8751) = ( 8747 × 8751) / 1
LCM(8747,8751) = 76544997 / 1
LCM(8747,8751) = 76544997

Properties of LCM 8747 and 8751

(i) The LCM of 8751 and 8747 is associative

LCM of 8747 and 8751 = LCM of 8751 and 8747

Related Least Common Multiples of 8747

Related Least Common Multiples of 8751

Frequently Asked Questions on LCM of 8747 and 8751

1. What is the LCM of 8747 and 8751?

Answer: LCM of 8747 and 8751 is 76544997.

2. What are the Factors of 8747?

Answer: Factors of 8747 are 1, 8747. There are 2 integers that are factors of 8747. The greatest factor of 8747 is 8747.

3. What are the Factors of 8751?

Answer: Factors of 8751 are 1, 3, 2917, 8751. There are 4 integers that are factors of 8751. The greatest factor of 8751 is 8751.

4. How to Find the LCM of 8747 and 8751?

Answer:

Least Common Multiple of 8747 and 8751 = 76544997

Step 1: Find the prime factorization of 8747

8747 = 8747

Step 2: Find the prime factorization of 8751

8751 = 3 x 2917

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

LCM = 76544997 = 3 x 2917 x 8747

Step 4: Therefore, the least common multiple of 8747 and 8751 is 76544997.