Least Common Multiple of 8579 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 8579 and 8583 the smallest integer that is 73633557 that is divisible by both numbers.

Least Common Multiple (LCM) of 8579 and 8583 is 73633557.

LCM(8579,8583) = 73633557

LCM of 8579 and 8583

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

LCM of:
and

Least Common Multiple of 8579 and 8583

LCM of 8579 and 8583 is 73633557

Least common multiple can be found by multiplying the highest exponent prime factors of 8579 and 8583. First we will calculate the prime factors of 8579 and 8583.

Prime Factorization of 8579


23 8579
373 373
1

Prime factors of 8579 are 23,373. Prime factorization of 8579 in exponential form is:

8579 = 231×3731

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 8579 and 8583.

LCM(8579,8583) = 31×231×3731×28611
LCM(8579,8583) = 73633557

Factors of 8579

List of positive integer factors of 8579 that divides 8579 without a remainder.

1, 23, 373, 8579

Factors of 8583

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

1, 3, 2861, 8583

Least Common Multiple of 8579 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 8579 and 8583, than apply into the LCM equation.

GCF(8579,8583) = 1
LCM(8579,8583) = ( 8579 × 8583) / 1
LCM(8579,8583) = 73633557 / 1
LCM(8579,8583) = 73633557

Properties of LCM 8579 and 8583

(i) The LCM of 8583 and 8579 is associative

LCM of 8579 and 8583 = LCM of 8583 and 8579

Related Least Common Multiples of 8579

Related Least Common Multiples of 8583

Frequently Asked Questions on LCM of 8579 and 8583

1. What is the LCM of 8579 and 8583?

Answer: LCM of 8579 and 8583 is 73633557.

2. What are the Factors of 8579?

Answer: Factors of 8579 are 1, 23, 373, 8579. There are 4 integers that are factors of 8579. The greatest factor of 8579 is 8579.

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 8579 and 8583?

Answer:

Least Common Multiple of 8579 and 8583 = 73633557

Step 1: Find the prime factorization of 8579

8579 = 23 x 373

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 = 73633557 = 3 x 23 x 373 x 2861

Step 4: Therefore, the least common multiple of 8579 and 8583 is 73633557.