Least Common Multiple of 8576 and 8581

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 8581 the smallest integer that is 73590656 that is divisible by both numbers.

Least Common Multiple (LCM) of 8576 and 8581 is 73590656.

LCM(8576,8581) = 73590656

LCM of 8576 and 8581

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

LCM of:
and

Least Common Multiple of 8576 and 8581

LCM of 8576 and 8581 is 73590656

Least common multiple can be found by multiplying the highest exponent prime factors of 8576 and 8581. First we will calculate the prime factors of 8576 and 8581.

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 8581


8581 8581
1

Prime factors of 8581 are 8581. Prime factorization of 8581 in exponential form is:

8581 = 85811

Now multiplying the highest exponent prime factors to calculate the LCM of 8576 and 8581.

LCM(8576,8581) = 27×671×85811
LCM(8576,8581) = 73590656

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 8581

List of positive integer factors of 8581 that divides 8581 without a remainder.

1, 8581

Least Common Multiple of 8576 and 8581 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 8581, than apply into the LCM equation.

GCF(8576,8581) = 1
LCM(8576,8581) = ( 8576 × 8581) / 1
LCM(8576,8581) = 73590656 / 1
LCM(8576,8581) = 73590656

Properties of LCM 8576 and 8581

(i) The LCM of 8581 and 8576 is associative

LCM of 8576 and 8581 = LCM of 8581 and 8576

Related Least Common Multiples of 8576

Related Least Common Multiples of 8581

Frequently Asked Questions on LCM of 8576 and 8581

1. What is the LCM of 8576 and 8581?

Answer: LCM of 8576 and 8581 is 73590656.

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 8581?

Answer: Factors of 8581 are 1, 8581. There are 2 integers that are factors of 8581. The greatest factor of 8581 is 8581.

4. How to Find the LCM of 8576 and 8581?

Answer:

Least Common Multiple of 8576 and 8581 = 73590656

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 8581

8581 = 8581

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

LCM = 73590656 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 67 x 8581

Step 4: Therefore, the least common multiple of 8576 and 8581 is 73590656.