Least Common Multiple of 8743 and 8750

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 8750 the smallest integer that is 10928750 that is divisible by both numbers.

Least Common Multiple (LCM) of 8743 and 8750 is 10928750.

LCM(8743,8750) = 10928750

LCM of 8743 and 8750

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

LCM of:
and

Least Common Multiple of 8743 and 8750

LCM of 8743 and 8750 is 10928750

Least common multiple can be found by multiplying the highest exponent prime factors of 8743 and 8750. First we will calculate the prime factors of 8743 and 8750.

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 8750


2 8750
5 4375
5 875
5 175
5 35
7 7
1

Prime factors of 8750 are 2, 5,7. Prime factorization of 8750 in exponential form is:

8750 = 21×54×71

Now multiplying the highest exponent prime factors to calculate the LCM of 8743 and 8750.

LCM(8743,8750) = 21×54×71×12491
LCM(8743,8750) = 10928750

Factors of 8743

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

1, 7, 1249, 8743

Factors of 8750

List of positive integer factors of 8750 that divides 8750 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 4375, 8750

Least Common Multiple of 8743 and 8750 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 8750, than apply into the LCM equation.

GCF(8743,8750) = 7
LCM(8743,8750) = ( 8743 × 8750) / 7
LCM(8743,8750) = 76501250 / 7
LCM(8743,8750) = 10928750

Properties of LCM 8743 and 8750

(i) The LCM of 8750 and 8743 is associative

LCM of 8743 and 8750 = LCM of 8750 and 8743

Related Least Common Multiples of 8743

Related Least Common Multiples of 8750

Frequently Asked Questions on LCM of 8743 and 8750

1. What is the LCM of 8743 and 8750?

Answer: LCM of 8743 and 8750 is 10928750.

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 8750?

Answer: Factors of 8750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 4375, 8750. There are 20 integers that are factors of 8750. The greatest factor of 8750 is 8750.

4. How to Find the LCM of 8743 and 8750?

Answer:

Least Common Multiple of 8743 and 8750 = 10928750

Step 1: Find the prime factorization of 8743

8743 = 7 x 1249

Step 2: Find the prime factorization of 8750

8750 = 2 x 5 x 5 x 5 x 5 x 7

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

LCM = 10928750 = 2 x 5 x 5 x 5 x 5 x 7 x 1249

Step 4: Therefore, the least common multiple of 8743 and 8750 is 10928750.