Least Common Multiple of 8743 and 8749

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 8749 the smallest integer that is 76492507 that is divisible by both numbers.

Least Common Multiple (LCM) of 8743 and 8749 is 76492507.

LCM(8743,8749) = 76492507

LCM of 8743 and 8749

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

LCM of:
and

Least Common Multiple of 8743 and 8749

LCM of 8743 and 8749 is 76492507

Least common multiple can be found by multiplying the highest exponent prime factors of 8743 and 8749. First we will calculate the prime factors of 8743 and 8749.

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 8749


13 8749
673 673
1

Prime factors of 8749 are 13,673. Prime factorization of 8749 in exponential form is:

8749 = 131×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 8743 and 8749.

LCM(8743,8749) = 71×131×6731×12491
LCM(8743,8749) = 76492507

Factors of 8743

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

1, 7, 1249, 8743

Factors of 8749

List of positive integer factors of 8749 that divides 8749 without a remainder.

1, 13, 673, 8749

Least Common Multiple of 8743 and 8749 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 8749, than apply into the LCM equation.

GCF(8743,8749) = 1
LCM(8743,8749) = ( 8743 × 8749) / 1
LCM(8743,8749) = 76492507 / 1
LCM(8743,8749) = 76492507

Properties of LCM 8743 and 8749

(i) The LCM of 8749 and 8743 is associative

LCM of 8743 and 8749 = LCM of 8749 and 8743

Related Least Common Multiples of 8743

Related Least Common Multiples of 8749

Frequently Asked Questions on LCM of 8743 and 8749

1. What is the LCM of 8743 and 8749?

Answer: LCM of 8743 and 8749 is 76492507.

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 8749?

Answer: Factors of 8749 are 1, 13, 673, 8749. There are 4 integers that are factors of 8749. The greatest factor of 8749 is 8749.

4. How to Find the LCM of 8743 and 8749?

Answer:

Least Common Multiple of 8743 and 8749 = 76492507

Step 1: Find the prime factorization of 8743

8743 = 7 x 1249

Step 2: Find the prime factorization of 8749

8749 = 13 x 673

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

LCM = 76492507 = 7 x 13 x 673 x 1249

Step 4: Therefore, the least common multiple of 8743 and 8749 is 76492507.