Least Common Multiple of 8588 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 8588 and 8592 the smallest integer that is 18447024 that is divisible by both numbers.

Least Common Multiple (LCM) of 8588 and 8592 is 18447024.

LCM(8588,8592) = 18447024

LCM of 8588 and 8592

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

LCM of:
and

Least Common Multiple of 8588 and 8592

LCM of 8588 and 8592 is 18447024

Least common multiple can be found by multiplying the highest exponent prime factors of 8588 and 8592. First we will calculate the prime factors of 8588 and 8592.

Prime Factorization of 8588


2 8588
2 4294
19 2147
113 113
1

Prime factors of 8588 are 2, 19,113. Prime factorization of 8588 in exponential form is:

8588 = 22×191×1131

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 8588 and 8592.

LCM(8588,8592) = 24×31×191×1131×1791
LCM(8588,8592) = 18447024

Factors of 8588

List of positive integer factors of 8588 that divides 8588 without a remainder.

1, 2, 4, 19, 38, 76, 113, 226, 452, 2147, 4294, 8588

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 8588 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 8588 and 8592, than apply into the LCM equation.

GCF(8588,8592) = 4
LCM(8588,8592) = ( 8588 × 8592) / 4
LCM(8588,8592) = 73788096 / 4
LCM(8588,8592) = 18447024

Properties of LCM 8588 and 8592

(i) The LCM of 8592 and 8588 is associative

LCM of 8588 and 8592 = LCM of 8592 and 8588

Related Least Common Multiples of 8588

Related Least Common Multiples of 8592

Frequently Asked Questions on LCM of 8588 and 8592

1. What is the LCM of 8588 and 8592?

Answer: LCM of 8588 and 8592 is 18447024.

2. What are the Factors of 8588?

Answer: Factors of 8588 are 1, 2, 4, 19, 38, 76, 113, 226, 452, 2147, 4294, 8588. There are 12 integers that are factors of 8588. The greatest factor of 8588 is 8588.

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 8588 and 8592?

Answer:

Least Common Multiple of 8588 and 8592 = 18447024

Step 1: Find the prime factorization of 8588

8588 = 2 x 2 x 19 x 113

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 = 18447024 = 2 x 2 x 2 x 2 x 3 x 19 x 113 x 179

Step 4: Therefore, the least common multiple of 8588 and 8592 is 18447024.