Least Common Multiple of 8743 and 8748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8743 and 8748 the smallest integer that is 76483764 that is divisible by both numbers.

Least Common Multiple (LCM) of 8743 and 8748 is 76483764.

LCM(8743,8748) = 76483764

LCM of 8743 and 8748

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

LCM of:
and

Least Common Multiple of 8743 and 8748

LCM of 8743 and 8748 is 76483764

Least common multiple can be found by multiplying the highest exponent prime factors of 8743 and 8748. First we will calculate the prime factors of 8743 and 8748.

Prime Factorization of 8743


7 8743
1249 1249
1

Prime factors of 8743 are 7,1249. Prime factorization of 8743 in exponential form is:

8743 = 71×12491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8743 and 8748.

LCM(8743,8748) = 22×37×71×12491
LCM(8743,8748) = 76483764

Factors of 8743

List of positive integer factors of 8743 that divides 8743 without a remainder.

1, 7, 1249, 8743

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

Least Common Multiple of 8743 and 8748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8743 and 8748, than apply into the LCM equation.

GCF(8743,8748) = 1
LCM(8743,8748) = ( 8743 × 8748) / 1
LCM(8743,8748) = 76483764 / 1
LCM(8743,8748) = 76483764

Properties of LCM 8743 and 8748

(i) The LCM of 8748 and 8743 is associative

LCM of 8743 and 8748 = LCM of 8748 and 8743

Related Least Common Multiples of 8743

Related Least Common Multiples of 8748

Frequently Asked Questions on LCM of 8743 and 8748

1. What is the LCM of 8743 and 8748?

Answer: LCM of 8743 and 8748 is 76483764.

2. What are the Factors of 8743?

Answer: Factors of 8743 are 1, 7, 1249, 8743. There are 4 integers that are factors of 8743. The greatest factor of 8743 is 8743.

3. 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.

4. How to Find the LCM of 8743 and 8748?

Answer:

Least Common Multiple of 8743 and 8748 = 76483764

Step 1: Find the prime factorization of 8743

8743 = 7 x 1249

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 76483764 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 1249

Step 4: Therefore, the least common multiple of 8743 and 8748 is 76483764.