Least Common Multiple of 8581 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 8581 and 8583 the smallest integer that is 73650723 that is divisible by both numbers.

Least Common Multiple (LCM) of 8581 and 8583 is 73650723.

LCM(8581,8583) = 73650723

LCM of 8581 and 8583

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

LCM of:
and

Least Common Multiple of 8581 and 8583

LCM of 8581 and 8583 is 73650723

Least common multiple can be found by multiplying the highest exponent prime factors of 8581 and 8583. First we will calculate the prime factors of 8581 and 8583.

Prime Factorization of 8581


8581 8581
1

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

8581 = 85811

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 8581 and 8583.

LCM(8581,8583) = 31×28611×85811
LCM(8581,8583) = 73650723

Factors of 8581

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

1, 8581

Factors of 8583

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

1, 3, 2861, 8583

Least Common Multiple of 8581 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 8581 and 8583, than apply into the LCM equation.

GCF(8581,8583) = 1
LCM(8581,8583) = ( 8581 × 8583) / 1
LCM(8581,8583) = 73650723 / 1
LCM(8581,8583) = 73650723

Properties of LCM 8581 and 8583

(i) The LCM of 8583 and 8581 is associative

LCM of 8581 and 8583 = LCM of 8583 and 8581

Related Least Common Multiples of 8581

Related Least Common Multiples of 8583

Frequently Asked Questions on LCM of 8581 and 8583

1. What is the LCM of 8581 and 8583?

Answer: LCM of 8581 and 8583 is 73650723.

2. 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.

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 8581 and 8583?

Answer:

Least Common Multiple of 8581 and 8583 = 73650723

Step 1: Find the prime factorization of 8581

8581 = 8581

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 = 73650723 = 3 x 2861 x 8581

Step 4: Therefore, the least common multiple of 8581 and 8583 is 73650723.