Least Common Multiple of 8576 and 8582

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 8582 the smallest integer that is 36799616 that is divisible by both numbers.

Least Common Multiple (LCM) of 8576 and 8582 is 36799616.

LCM(8576,8582) = 36799616

LCM of 8576 and 8582

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

LCM of:
and

Least Common Multiple of 8576 and 8582

LCM of 8576 and 8582 is 36799616

Least common multiple can be found by multiplying the highest exponent prime factors of 8576 and 8582. First we will calculate the prime factors of 8576 and 8582.

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 8582


2 8582
7 4291
613 613
1

Prime factors of 8582 are 2, 7,613. Prime factorization of 8582 in exponential form is:

8582 = 21×71×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 8576 and 8582.

LCM(8576,8582) = 27×71×671×6131
LCM(8576,8582) = 36799616

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 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1, 2, 7, 14, 613, 1226, 4291, 8582

Least Common Multiple of 8576 and 8582 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 8582, than apply into the LCM equation.

GCF(8576,8582) = 2
LCM(8576,8582) = ( 8576 × 8582) / 2
LCM(8576,8582) = 73599232 / 2
LCM(8576,8582) = 36799616

Properties of LCM 8576 and 8582

(i) The LCM of 8582 and 8576 is associative

LCM of 8576 and 8582 = LCM of 8582 and 8576

Related Least Common Multiples of 8576

Related Least Common Multiples of 8582

Frequently Asked Questions on LCM of 8576 and 8582

1. What is the LCM of 8576 and 8582?

Answer: LCM of 8576 and 8582 is 36799616.

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 8582?

Answer: Factors of 8582 are 1, 2, 7, 14, 613, 1226, 4291, 8582. There are 8 integers that are factors of 8582. The greatest factor of 8582 is 8582.

4. How to Find the LCM of 8576 and 8582?

Answer:

Least Common Multiple of 8576 and 8582 = 36799616

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 8582

8582 = 2 x 7 x 613

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

LCM = 36799616 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 67 x 613

Step 4: Therefore, the least common multiple of 8576 and 8582 is 36799616.