Least Common Multiple of 8489 and 8493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8489 and 8493 the smallest integer that is 72097077 that is divisible by both numbers.

Least Common Multiple (LCM) of 8489 and 8493 is 72097077.

LCM(8489,8493) = 72097077

LCM of 8489 and 8493

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

LCM of:
and

Least Common Multiple of 8489 and 8493

LCM of 8489 and 8493 is 72097077

Least common multiple can be found by multiplying the highest exponent prime factors of 8489 and 8493. First we will calculate the prime factors of 8489 and 8493.

Prime Factorization of 8489


13 8489
653 653
1

Prime factors of 8489 are 13,653. Prime factorization of 8489 in exponential form is:

8489 = 131×6531

Prime Factorization of 8493


3 8493
19 2831
149 149
1

Prime factors of 8493 are 3, 19,149. Prime factorization of 8493 in exponential form is:

8493 = 31×191×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8489 and 8493.

LCM(8489,8493) = 31×131×191×1491×6531
LCM(8489,8493) = 72097077

Factors of 8489

List of positive integer factors of 8489 that divides 8489 without a remainder.

1, 13, 653, 8489

Factors of 8493

List of positive integer factors of 8493 that divides 8493 without a remainder.

1, 3, 19, 57, 149, 447, 2831, 8493

Least Common Multiple of 8489 and 8493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8489 and 8493, than apply into the LCM equation.

GCF(8489,8493) = 1
LCM(8489,8493) = ( 8489 × 8493) / 1
LCM(8489,8493) = 72097077 / 1
LCM(8489,8493) = 72097077

Properties of LCM 8489 and 8493

(i) The LCM of 8493 and 8489 is associative

LCM of 8489 and 8493 = LCM of 8493 and 8489

Related Least Common Multiples of 8489

Related Least Common Multiples of 8493

Frequently Asked Questions on LCM of 8489 and 8493

1. What is the LCM of 8489 and 8493?

Answer: LCM of 8489 and 8493 is 72097077.

2. What are the Factors of 8489?

Answer: Factors of 8489 are 1, 13, 653, 8489. There are 4 integers that are factors of 8489. The greatest factor of 8489 is 8489.

3. What are the Factors of 8493?

Answer: Factors of 8493 are 1, 3, 19, 57, 149, 447, 2831, 8493. There are 8 integers that are factors of 8493. The greatest factor of 8493 is 8493.

4. How to Find the LCM of 8489 and 8493?

Answer:

Least Common Multiple of 8489 and 8493 = 72097077

Step 1: Find the prime factorization of 8489

8489 = 13 x 653

Step 2: Find the prime factorization of 8493

8493 = 3 x 19 x 149

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

LCM = 72097077 = 3 x 13 x 19 x 149 x 653

Step 4: Therefore, the least common multiple of 8489 and 8493 is 72097077.