Least Common Multiple of 8587 and 8592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8587 and 8592 the smallest integer that is 73779504 that is divisible by both numbers.

Least Common Multiple (LCM) of 8587 and 8592 is 73779504.

LCM(8587,8592) = 73779504

LCM of 8587 and 8592

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

LCM of:
and

Least Common Multiple of 8587 and 8592

LCM of 8587 and 8592 is 73779504

Least common multiple can be found by multiplying the highest exponent prime factors of 8587 and 8592. First we will calculate the prime factors of 8587 and 8592.

Prime Factorization of 8587


31 8587
277 277
1

Prime factors of 8587 are 31,277. Prime factorization of 8587 in exponential form is:

8587 = 311×2771

Prime Factorization of 8592


2 8592
2 4296
2 2148
2 1074
3 537
179 179
1

Prime factors of 8592 are 2, 3,179. Prime factorization of 8592 in exponential form is:

8592 = 24×31×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 8587 and 8592.

LCM(8587,8592) = 24×31×311×1791×2771
LCM(8587,8592) = 73779504

Factors of 8587

List of positive integer factors of 8587 that divides 8587 without a remainder.

1, 31, 277, 8587

Factors of 8592

List of positive integer factors of 8592 that divides 8592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 179, 358, 537, 716, 1074, 1432, 2148, 2864, 4296, 8592

Least Common Multiple of 8587 and 8592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8587 and 8592, than apply into the LCM equation.

GCF(8587,8592) = 1
LCM(8587,8592) = ( 8587 × 8592) / 1
LCM(8587,8592) = 73779504 / 1
LCM(8587,8592) = 73779504

Properties of LCM 8587 and 8592

(i) The LCM of 8592 and 8587 is associative

LCM of 8587 and 8592 = LCM of 8592 and 8587

Related Least Common Multiples of 8587

Related Least Common Multiples of 8592

Frequently Asked Questions on LCM of 8587 and 8592

1. What is the LCM of 8587 and 8592?

Answer: LCM of 8587 and 8592 is 73779504.

2. What are the Factors of 8587?

Answer: Factors of 8587 are 1, 31, 277, 8587. There are 4 integers that are factors of 8587. The greatest factor of 8587 is 8587.

3. What are the Factors of 8592?

Answer: Factors of 8592 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 179, 358, 537, 716, 1074, 1432, 2148, 2864, 4296, 8592. There are 20 integers that are factors of 8592. The greatest factor of 8592 is 8592.

4. How to Find the LCM of 8587 and 8592?

Answer:

Least Common Multiple of 8587 and 8592 = 73779504

Step 1: Find the prime factorization of 8587

8587 = 31 x 277

Step 2: Find the prime factorization of 8592

8592 = 2 x 2 x 2 x 2 x 3 x 179

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

LCM = 73779504 = 2 x 2 x 2 x 2 x 3 x 31 x 179 x 277

Step 4: Therefore, the least common multiple of 8587 and 8592 is 73779504.