Least Common Multiple of 8491 and 8499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8491 and 8499 the smallest integer that is 72165009 that is divisible by both numbers.

Least Common Multiple (LCM) of 8491 and 8499 is 72165009.

LCM(8491,8499) = 72165009

LCM of 8491 and 8499

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

LCM of:
and

Least Common Multiple of 8491 and 8499

LCM of 8491 and 8499 is 72165009

Least common multiple can be found by multiplying the highest exponent prime factors of 8491 and 8499. First we will calculate the prime factors of 8491 and 8499.

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

Prime Factorization of 8499


3 8499
2833 2833
1

Prime factors of 8499 are 3,2833. Prime factorization of 8499 in exponential form is:

8499 = 31×28331

Now multiplying the highest exponent prime factors to calculate the LCM of 8491 and 8499.

LCM(8491,8499) = 31×71×12131×28331
LCM(8491,8499) = 72165009

Factors of 8491

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

1, 7, 1213, 8491

Factors of 8499

List of positive integer factors of 8499 that divides 8499 without a remainder.

1, 3, 2833, 8499

Least Common Multiple of 8491 and 8499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8491 and 8499, than apply into the LCM equation.

GCF(8491,8499) = 1
LCM(8491,8499) = ( 8491 × 8499) / 1
LCM(8491,8499) = 72165009 / 1
LCM(8491,8499) = 72165009

Properties of LCM 8491 and 8499

(i) The LCM of 8499 and 8491 is associative

LCM of 8491 and 8499 = LCM of 8499 and 8491

Related Least Common Multiples of 8491

Related Least Common Multiples of 8499

Frequently Asked Questions on LCM of 8491 and 8499

1. What is the LCM of 8491 and 8499?

Answer: LCM of 8491 and 8499 is 72165009.

2. 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.

3. What are the Factors of 8499?

Answer: Factors of 8499 are 1, 3, 2833, 8499. There are 4 integers that are factors of 8499. The greatest factor of 8499 is 8499.

4. How to Find the LCM of 8491 and 8499?

Answer:

Least Common Multiple of 8491 and 8499 = 72165009

Step 1: Find the prime factorization of 8491

8491 = 7 x 1213

Step 2: Find the prime factorization of 8499

8499 = 3 x 2833

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

LCM = 72165009 = 3 x 7 x 1213 x 2833

Step 4: Therefore, the least common multiple of 8491 and 8499 is 72165009.