Least Common Multiple of 8576 and 8583

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 8583 the smallest integer that is 73607808 that is divisible by both numbers.

Least Common Multiple (LCM) of 8576 and 8583 is 73607808.

LCM(8576,8583) = 73607808

LCM of 8576 and 8583

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

LCM of:
and

Least Common Multiple of 8576 and 8583

LCM of 8576 and 8583 is 73607808

Least common multiple can be found by multiplying the highest exponent prime factors of 8576 and 8583. First we will calculate the prime factors of 8576 and 8583.

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 8583


3 8583
2861 2861
1

Prime factors of 8583 are 3,2861. Prime factorization of 8583 in exponential form is:

8583 = 31×28611

Now multiplying the highest exponent prime factors to calculate the LCM of 8576 and 8583.

LCM(8576,8583) = 27×31×671×28611
LCM(8576,8583) = 73607808

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 8583

List of positive integer factors of 8583 that divides 8583 without a remainder.

1, 3, 2861, 8583

Least Common Multiple of 8576 and 8583 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 8583, than apply into the LCM equation.

GCF(8576,8583) = 1
LCM(8576,8583) = ( 8576 × 8583) / 1
LCM(8576,8583) = 73607808 / 1
LCM(8576,8583) = 73607808

Properties of LCM 8576 and 8583

(i) The LCM of 8583 and 8576 is associative

LCM of 8576 and 8583 = LCM of 8583 and 8576

Related Least Common Multiples of 8576

Related Least Common Multiples of 8583

Frequently Asked Questions on LCM of 8576 and 8583

1. What is the LCM of 8576 and 8583?

Answer: LCM of 8576 and 8583 is 73607808.

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 8583?

Answer: Factors of 8583 are 1, 3, 2861, 8583. There are 4 integers that are factors of 8583. The greatest factor of 8583 is 8583.

4. How to Find the LCM of 8576 and 8583?

Answer:

Least Common Multiple of 8576 and 8583 = 73607808

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 8583

8583 = 3 x 2861

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

LCM = 73607808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 67 x 2861

Step 4: Therefore, the least common multiple of 8576 and 8583 is 73607808.