Least Common Multiple of 8747 and 8753

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 8753 the smallest integer that is 76562491 that is divisible by both numbers.

Least Common Multiple (LCM) of 8747 and 8753 is 76562491.

LCM(8747,8753) = 76562491

LCM of 8747 and 8753

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

LCM of:
and

Least Common Multiple of 8747 and 8753

LCM of 8747 and 8753 is 76562491

Least common multiple can be found by multiplying the highest exponent prime factors of 8747 and 8753. First we will calculate the prime factors of 8747 and 8753.

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 8753


8753 8753
1

Prime factors of 8753 are 8753. Prime factorization of 8753 in exponential form is:

8753 = 87531

Now multiplying the highest exponent prime factors to calculate the LCM of 8747 and 8753.

LCM(8747,8753) = 87471×87531
LCM(8747,8753) = 76562491

Factors of 8747

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

1, 8747

Factors of 8753

List of positive integer factors of 8753 that divides 8753 without a remainder.

1, 8753

Least Common Multiple of 8747 and 8753 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 8753, than apply into the LCM equation.

GCF(8747,8753) = 1
LCM(8747,8753) = ( 8747 × 8753) / 1
LCM(8747,8753) = 76562491 / 1
LCM(8747,8753) = 76562491

Properties of LCM 8747 and 8753

(i) The LCM of 8753 and 8747 is associative

LCM of 8747 and 8753 = LCM of 8753 and 8747

Related Least Common Multiples of 8747

Related Least Common Multiples of 8753

Frequently Asked Questions on LCM of 8747 and 8753

1. What is the LCM of 8747 and 8753?

Answer: LCM of 8747 and 8753 is 76562491.

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 8753?

Answer: Factors of 8753 are 1, 8753. There are 2 integers that are factors of 8753. The greatest factor of 8753 is 8753.

4. How to Find the LCM of 8747 and 8753?

Answer:

Least Common Multiple of 8747 and 8753 = 76562491

Step 1: Find the prime factorization of 8747

8747 = 8747

Step 2: Find the prime factorization of 8753

8753 = 8753

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

LCM = 76562491 = 8747 x 8753

Step 4: Therefore, the least common multiple of 8747 and 8753 is 76562491.