Least Common Multiple of 8577 and 8585

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 8585 the smallest integer that is 73633545 that is divisible by both numbers.

Least Common Multiple (LCM) of 8577 and 8585 is 73633545.

LCM(8577,8585) = 73633545

LCM of 8577 and 8585

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

LCM of:
and

Least Common Multiple of 8577 and 8585

LCM of 8577 and 8585 is 73633545

Least common multiple can be found by multiplying the highest exponent prime factors of 8577 and 8585. First we will calculate the prime factors of 8577 and 8585.

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 8585


5 8585
17 1717
101 101
1

Prime factors of 8585 are 5, 17,101. Prime factorization of 8585 in exponential form is:

8585 = 51×171×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8577 and 8585.

LCM(8577,8585) = 32×51×171×1011×9531
LCM(8577,8585) = 73633545

Factors of 8577

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

1, 3, 9, 953, 2859, 8577

Factors of 8585

List of positive integer factors of 8585 that divides 8585 without a remainder.

1, 5, 17, 85, 101, 505, 1717, 8585

Least Common Multiple of 8577 and 8585 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 8585, than apply into the LCM equation.

GCF(8577,8585) = 1
LCM(8577,8585) = ( 8577 × 8585) / 1
LCM(8577,8585) = 73633545 / 1
LCM(8577,8585) = 73633545

Properties of LCM 8577 and 8585

(i) The LCM of 8585 and 8577 is associative

LCM of 8577 and 8585 = LCM of 8585 and 8577

Related Least Common Multiples of 8577

Related Least Common Multiples of 8585

Frequently Asked Questions on LCM of 8577 and 8585

1. What is the LCM of 8577 and 8585?

Answer: LCM of 8577 and 8585 is 73633545.

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 8585?

Answer: Factors of 8585 are 1, 5, 17, 85, 101, 505, 1717, 8585. There are 8 integers that are factors of 8585. The greatest factor of 8585 is 8585.

4. How to Find the LCM of 8577 and 8585?

Answer:

Least Common Multiple of 8577 and 8585 = 73633545

Step 1: Find the prime factorization of 8577

8577 = 3 x 3 x 953

Step 2: Find the prime factorization of 8585

8585 = 5 x 17 x 101

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

LCM = 73633545 = 3 x 3 x 5 x 17 x 101 x 953

Step 4: Therefore, the least common multiple of 8577 and 8585 is 73633545.