Least Common Multiple of 8576 and 8584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8576 and 8584 the smallest integer that is 9202048 that is divisible by both numbers.

Least Common Multiple (LCM) of 8576 and 8584 is 9202048.

LCM(8576,8584) = 9202048

LCM of 8576 and 8584

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

LCM of:
and

Least Common Multiple of 8576 and 8584

LCM of 8576 and 8584 is 9202048

Least common multiple can be found by multiplying the highest exponent prime factors of 8576 and 8584. First we will calculate the prime factors of 8576 and 8584.

Prime Factorization of 8576


2 8576
2 4288
2 2144
2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 8576 are 2,67. Prime factorization of 8576 in exponential form is:

8576 = 27×671

Prime Factorization of 8584


2 8584
2 4292
2 2146
29 1073
37 37
1

Prime factors of 8584 are 2, 29,37. Prime factorization of 8584 in exponential form is:

8584 = 23×291×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8576 and 8584.

LCM(8576,8584) = 27×291×371×671
LCM(8576,8584) = 9202048

Factors of 8576

List of positive integer factors of 8576 that divides 8576 without a remainder.

1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 268, 536, 1072, 2144, 4288, 8576

Factors of 8584

List of positive integer factors of 8584 that divides 8584 without a remainder.

1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584

Least Common Multiple of 8576 and 8584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8576 and 8584, than apply into the LCM equation.

GCF(8576,8584) = 8
LCM(8576,8584) = ( 8576 × 8584) / 8
LCM(8576,8584) = 73616384 / 8
LCM(8576,8584) = 9202048

Properties of LCM 8576 and 8584

(i) The LCM of 8584 and 8576 is associative

LCM of 8576 and 8584 = LCM of 8584 and 8576

Related Least Common Multiples of 8576

Related Least Common Multiples of 8584

Frequently Asked Questions on LCM of 8576 and 8584

1. What is the LCM of 8576 and 8584?

Answer: LCM of 8576 and 8584 is 9202048.

2. What are the Factors of 8576?

Answer: Factors of 8576 are 1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 268, 536, 1072, 2144, 4288, 8576. There are 16 integers that are factors of 8576. The greatest factor of 8576 is 8576.

3. What are the Factors of 8584?

Answer: Factors of 8584 are 1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584. There are 16 integers that are factors of 8584. The greatest factor of 8584 is 8584.

4. How to Find the LCM of 8576 and 8584?

Answer:

Least Common Multiple of 8576 and 8584 = 9202048

Step 1: Find the prime factorization of 8576

8576 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 67

Step 2: Find the prime factorization of 8584

8584 = 2 x 2 x 2 x 29 x 37

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

LCM = 9202048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29 x 37 x 67

Step 4: Therefore, the least common multiple of 8576 and 8584 is 9202048.