Least Common Multiple of 8747 and 8754

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 8754 the smallest integer that is 76571238 that is divisible by both numbers.

Least Common Multiple (LCM) of 8747 and 8754 is 76571238.

LCM(8747,8754) = 76571238

LCM of 8747 and 8754

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

LCM of:
and

Least Common Multiple of 8747 and 8754

LCM of 8747 and 8754 is 76571238

Least common multiple can be found by multiplying the highest exponent prime factors of 8747 and 8754. First we will calculate the prime factors of 8747 and 8754.

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 8754


2 8754
3 4377
1459 1459
1

Prime factors of 8754 are 2, 3,1459. Prime factorization of 8754 in exponential form is:

8754 = 21×31×14591

Now multiplying the highest exponent prime factors to calculate the LCM of 8747 and 8754.

LCM(8747,8754) = 21×31×14591×87471
LCM(8747,8754) = 76571238

Factors of 8747

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

1, 8747

Factors of 8754

List of positive integer factors of 8754 that divides 8754 without a remainder.

1, 2, 3, 6, 1459, 2918, 4377, 8754

Least Common Multiple of 8747 and 8754 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 8754, than apply into the LCM equation.

GCF(8747,8754) = 1
LCM(8747,8754) = ( 8747 × 8754) / 1
LCM(8747,8754) = 76571238 / 1
LCM(8747,8754) = 76571238

Properties of LCM 8747 and 8754

(i) The LCM of 8754 and 8747 is associative

LCM of 8747 and 8754 = LCM of 8754 and 8747

Related Least Common Multiples of 8747

Related Least Common Multiples of 8754

Frequently Asked Questions on LCM of 8747 and 8754

1. What is the LCM of 8747 and 8754?

Answer: LCM of 8747 and 8754 is 76571238.

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 8754?

Answer: Factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754. There are 8 integers that are factors of 8754. The greatest factor of 8754 is 8754.

4. How to Find the LCM of 8747 and 8754?

Answer:

Least Common Multiple of 8747 and 8754 = 76571238

Step 1: Find the prime factorization of 8747

8747 = 8747

Step 2: Find the prime factorization of 8754

8754 = 2 x 3 x 1459

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

LCM = 76571238 = 2 x 3 x 1459 x 8747

Step 4: Therefore, the least common multiple of 8747 and 8754 is 76571238.