Least Common Multiple of 8577 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 8577 and 8583 the smallest integer that is 24538797 that is divisible by both numbers.

Least Common Multiple (LCM) of 8577 and 8583 is 24538797.

LCM(8577,8583) = 24538797

LCM of 8577 and 8583

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

LCM of:
and

Least Common Multiple of 8577 and 8583

LCM of 8577 and 8583 is 24538797

Least common multiple can be found by multiplying the highest exponent prime factors of 8577 and 8583. First we will calculate the prime factors of 8577 and 8583.

Prime Factorization of 8577


3 8577
3 2859
953 953
1

Prime factors of 8577 are 3,953. Prime factorization of 8577 in exponential form is:

8577 = 32×9531

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 8577 and 8583.

LCM(8577,8583) = 32×9531×28611
LCM(8577,8583) = 24538797

Factors of 8577

List of positive integer factors of 8577 that divides 8577 without a remainder.

1, 3, 9, 953, 2859, 8577

Factors of 8583

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

1, 3, 2861, 8583

Least Common Multiple of 8577 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 8577 and 8583, than apply into the LCM equation.

GCF(8577,8583) = 3
LCM(8577,8583) = ( 8577 × 8583) / 3
LCM(8577,8583) = 73616391 / 3
LCM(8577,8583) = 24538797

Properties of LCM 8577 and 8583

(i) The LCM of 8583 and 8577 is associative

LCM of 8577 and 8583 = LCM of 8583 and 8577

Related Least Common Multiples of 8577

Related Least Common Multiples of 8583

Frequently Asked Questions on LCM of 8577 and 8583

1. What is the LCM of 8577 and 8583?

Answer: LCM of 8577 and 8583 is 24538797.

2. What are the Factors of 8577?

Answer: Factors of 8577 are 1, 3, 9, 953, 2859, 8577. There are 6 integers that are factors of 8577. The greatest factor of 8577 is 8577.

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 8577 and 8583?

Answer:

Least Common Multiple of 8577 and 8583 = 24538797

Step 1: Find the prime factorization of 8577

8577 = 3 x 3 x 953

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 = 24538797 = 3 x 3 x 953 x 2861

Step 4: Therefore, the least common multiple of 8577 and 8583 is 24538797.