Least Common Multiple of 8747 and 8752

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 8752 the smallest integer that is 76553744 that is divisible by both numbers.

Least Common Multiple (LCM) of 8747 and 8752 is 76553744.

LCM(8747,8752) = 76553744

LCM of 8747 and 8752

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

LCM of:
and

Least Common Multiple of 8747 and 8752

LCM of 8747 and 8752 is 76553744

Least common multiple can be found by multiplying the highest exponent prime factors of 8747 and 8752. First we will calculate the prime factors of 8747 and 8752.

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 8752


2 8752
2 4376
2 2188
2 1094
547 547
1

Prime factors of 8752 are 2,547. Prime factorization of 8752 in exponential form is:

8752 = 24×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 8747 and 8752.

LCM(8747,8752) = 24×5471×87471
LCM(8747,8752) = 76553744

Factors of 8747

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

1, 8747

Factors of 8752

List of positive integer factors of 8752 that divides 8752 without a remainder.

1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752

Least Common Multiple of 8747 and 8752 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 8752, than apply into the LCM equation.

GCF(8747,8752) = 1
LCM(8747,8752) = ( 8747 × 8752) / 1
LCM(8747,8752) = 76553744 / 1
LCM(8747,8752) = 76553744

Properties of LCM 8747 and 8752

(i) The LCM of 8752 and 8747 is associative

LCM of 8747 and 8752 = LCM of 8752 and 8747

Related Least Common Multiples of 8747

Related Least Common Multiples of 8752

Frequently Asked Questions on LCM of 8747 and 8752

1. What is the LCM of 8747 and 8752?

Answer: LCM of 8747 and 8752 is 76553744.

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 8752?

Answer: Factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752. There are 10 integers that are factors of 8752. The greatest factor of 8752 is 8752.

4. How to Find the LCM of 8747 and 8752?

Answer:

Least Common Multiple of 8747 and 8752 = 76553744

Step 1: Find the prime factorization of 8747

8747 = 8747

Step 2: Find the prime factorization of 8752

8752 = 2 x 2 x 2 x 2 x 547

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

LCM = 76553744 = 2 x 2 x 2 x 2 x 547 x 8747

Step 4: Therefore, the least common multiple of 8747 and 8752 is 76553744.