Least Common Multiple of 8489 and 8496

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 8496 the smallest integer that is 72122544 that is divisible by both numbers.

Least Common Multiple (LCM) of 8489 and 8496 is 72122544.

LCM(8489,8496) = 72122544

LCM of 8489 and 8496

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

LCM of:
and

Least Common Multiple of 8489 and 8496

LCM of 8489 and 8496 is 72122544

Least common multiple can be found by multiplying the highest exponent prime factors of 8489 and 8496. First we will calculate the prime factors of 8489 and 8496.

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 8496


2 8496
2 4248
2 2124
2 1062
3 531
3 177
59 59
1

Prime factors of 8496 are 2, 3,59. Prime factorization of 8496 in exponential form is:

8496 = 24×32×591

Now multiplying the highest exponent prime factors to calculate the LCM of 8489 and 8496.

LCM(8489,8496) = 24×32×131×591×6531
LCM(8489,8496) = 72122544

Factors of 8489

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

1, 13, 653, 8489

Factors of 8496

List of positive integer factors of 8496 that divides 8496 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248, 8496

Least Common Multiple of 8489 and 8496 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 8496, than apply into the LCM equation.

GCF(8489,8496) = 1
LCM(8489,8496) = ( 8489 × 8496) / 1
LCM(8489,8496) = 72122544 / 1
LCM(8489,8496) = 72122544

Properties of LCM 8489 and 8496

(i) The LCM of 8496 and 8489 is associative

LCM of 8489 and 8496 = LCM of 8496 and 8489

Related Least Common Multiples of 8489

Related Least Common Multiples of 8496

Frequently Asked Questions on LCM of 8489 and 8496

1. What is the LCM of 8489 and 8496?

Answer: LCM of 8489 and 8496 is 72122544.

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 8496?

Answer: Factors of 8496 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248, 8496. There are 30 integers that are factors of 8496. The greatest factor of 8496 is 8496.

4. How to Find the LCM of 8489 and 8496?

Answer:

Least Common Multiple of 8489 and 8496 = 72122544

Step 1: Find the prime factorization of 8489

8489 = 13 x 653

Step 2: Find the prime factorization of 8496

8496 = 2 x 2 x 2 x 2 x 3 x 3 x 59

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

LCM = 72122544 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 59 x 653

Step 4: Therefore, the least common multiple of 8489 and 8496 is 72122544.