Least Common Multiple of 8483 and 8491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 8483 and 8491 the smallest integer that is 72029153 that is divisible by both numbers.

Least Common Multiple (LCM) of 8483 and 8491 is 72029153.

LCM(8483,8491) = 72029153

LCM of 8483 and 8491

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

LCM of:
and

Least Common Multiple of 8483 and 8491

LCM of 8483 and 8491 is 72029153

Least common multiple can be found by multiplying the highest exponent prime factors of 8483 and 8491. First we will calculate the prime factors of 8483 and 8491.

Prime Factorization of 8483


17 8483
499 499
1

Prime factors of 8483 are 17,499. Prime factorization of 8483 in exponential form is:

8483 = 171×4991

Prime Factorization of 8491


7 8491
1213 1213
1

Prime factors of 8491 are 7,1213. Prime factorization of 8491 in exponential form is:

8491 = 71×12131

Now multiplying the highest exponent prime factors to calculate the LCM of 8483 and 8491.

LCM(8483,8491) = 71×171×4991×12131
LCM(8483,8491) = 72029153

Factors of 8483

List of positive integer factors of 8483 that divides 8483 without a remainder.

1, 17, 499, 8483

Factors of 8491

List of positive integer factors of 8491 that divides 8491 without a remainder.

1, 7, 1213, 8491

Least Common Multiple of 8483 and 8491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8483 and 8491, than apply into the LCM equation.

GCF(8483,8491) = 1
LCM(8483,8491) = ( 8483 × 8491) / 1
LCM(8483,8491) = 72029153 / 1
LCM(8483,8491) = 72029153

Properties of LCM 8483 and 8491

(i) The LCM of 8491 and 8483 is associative

LCM of 8483 and 8491 = LCM of 8491 and 8483

Frequently Asked Questions on LCM of 8483 and 8491

1. What is the LCM of 8483 and 8491?

Answer: LCM of 8483 and 8491 is 72029153.

2. What are the Factors of 8483?

Answer: Factors of 8483 are 1, 17, 499, 8483. There are 4 integers that are factors of 8483. The greatest factor of 8483 is 8483.

3. What are the Factors of 8491?

Answer: Factors of 8491 are 1, 7, 1213, 8491. There are 4 integers that are factors of 8491. The greatest factor of 8491 is 8491.

4. How to Find the LCM of 8483 and 8491?

Answer:

Least Common Multiple of 8483 and 8491 = 72029153

Step 1: Find the prime factorization of 8483

8483 = 17 x 499

Step 2: Find the prime factorization of 8491

8491 = 7 x 1213

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

LCM = 72029153 = 7 x 17 x 499 x 1213

Step 4: Therefore, the least common multiple of 8483 and 8491 is 72029153.