Least Common Multiple of 8748 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 8748 and 8753 the smallest integer that is 76571244 that is divisible by both numbers.

Least Common Multiple (LCM) of 8748 and 8753 is 76571244.

LCM(8748,8753) = 76571244

LCM of 8748 and 8753

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

LCM of:
and

Least Common Multiple of 8748 and 8753

LCM of 8748 and 8753 is 76571244

Least common multiple can be found by multiplying the highest exponent prime factors of 8748 and 8753. First we will calculate the prime factors of 8748 and 8753.

Prime Factorization of 8748


2 8748
2 4374
3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 8748 are 2,3. Prime factorization of 8748 in exponential form is:

8748 = 22×37

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 8748 and 8753.

LCM(8748,8753) = 22×37×87531
LCM(8748,8753) = 76571244

Factors of 8748

List of positive integer factors of 8748 that divides 8748 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748

Factors of 8753

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

1, 8753

Least Common Multiple of 8748 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 8748 and 8753, than apply into the LCM equation.

GCF(8748,8753) = 1
LCM(8748,8753) = ( 8748 × 8753) / 1
LCM(8748,8753) = 76571244 / 1
LCM(8748,8753) = 76571244

Properties of LCM 8748 and 8753

(i) The LCM of 8753 and 8748 is associative

LCM of 8748 and 8753 = LCM of 8753 and 8748

Related Least Common Multiples of 8748

Related Least Common Multiples of 8753

Frequently Asked Questions on LCM of 8748 and 8753

1. What is the LCM of 8748 and 8753?

Answer: LCM of 8748 and 8753 is 76571244.

2. What are the Factors of 8748?

Answer: Factors of 8748 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748. There are 24 integers that are factors of 8748. The greatest factor of 8748 is 8748.

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 8748 and 8753?

Answer:

Least Common Multiple of 8748 and 8753 = 76571244

Step 1: Find the prime factorization of 8748

8748 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3

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 = 76571244 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 8753

Step 4: Therefore, the least common multiple of 8748 and 8753 is 76571244.