Least Common Multiple of 8592 and 8600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8592 and 8600 the smallest integer that is 9236400 that is divisible by both numbers.

Least Common Multiple (LCM) of 8592 and 8600 is 9236400.

LCM(8592,8600) = 9236400

LCM of 8592 and 8600

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

LCM of:
and

Least Common Multiple of 8592 and 8600

LCM of 8592 and 8600 is 9236400

Least common multiple can be found by multiplying the highest exponent prime factors of 8592 and 8600. First we will calculate the prime factors of 8592 and 8600.

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

Prime Factorization of 8600


2 8600
2 4300
2 2150
5 1075
5 215
43 43
1

Prime factors of 8600 are 2, 5,43. Prime factorization of 8600 in exponential form is:

8600 = 23×52×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8592 and 8600.

LCM(8592,8600) = 24×31×52×431×1791
LCM(8592,8600) = 9236400

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

Factors of 8600

List of positive integer factors of 8600 that divides 8600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600

Least Common Multiple of 8592 and 8600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8592 and 8600, than apply into the LCM equation.

GCF(8592,8600) = 8
LCM(8592,8600) = ( 8592 × 8600) / 8
LCM(8592,8600) = 73891200 / 8
LCM(8592,8600) = 9236400

Properties of LCM 8592 and 8600

(i) The LCM of 8600 and 8592 is associative

LCM of 8592 and 8600 = LCM of 8600 and 8592

Related Least Common Multiples of 8592

Related Least Common Multiples of 8600

Frequently Asked Questions on LCM of 8592 and 8600

1. What is the LCM of 8592 and 8600?

Answer: LCM of 8592 and 8600 is 9236400.

2. 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.

3. What are the Factors of 8600?

Answer: Factors of 8600 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600. There are 24 integers that are factors of 8600. The greatest factor of 8600 is 8600.

4. How to Find the LCM of 8592 and 8600?

Answer:

Least Common Multiple of 8592 and 8600 = 9236400

Step 1: Find the prime factorization of 8592

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

Step 2: Find the prime factorization of 8600

8600 = 2 x 2 x 2 x 5 x 5 x 43

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

LCM = 9236400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 43 x 179

Step 4: Therefore, the least common multiple of 8592 and 8600 is 9236400.