Least Common Multiple of 8592 and 8598

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 8598 the smallest integer that is 12312336 that is divisible by both numbers.

Least Common Multiple (LCM) of 8592 and 8598 is 12312336.

LCM(8592,8598) = 12312336

LCM of 8592 and 8598

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

LCM of:
and

Least Common Multiple of 8592 and 8598

LCM of 8592 and 8598 is 12312336

Least common multiple can be found by multiplying the highest exponent prime factors of 8592 and 8598. First we will calculate the prime factors of 8592 and 8598.

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 8598


2 8598
3 4299
1433 1433
1

Prime factors of 8598 are 2, 3,1433. Prime factorization of 8598 in exponential form is:

8598 = 21×31×14331

Now multiplying the highest exponent prime factors to calculate the LCM of 8592 and 8598.

LCM(8592,8598) = 24×31×1791×14331
LCM(8592,8598) = 12312336

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 8598

List of positive integer factors of 8598 that divides 8598 without a remainder.

1, 2, 3, 6, 1433, 2866, 4299, 8598

Least Common Multiple of 8592 and 8598 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 8598, than apply into the LCM equation.

GCF(8592,8598) = 6
LCM(8592,8598) = ( 8592 × 8598) / 6
LCM(8592,8598) = 73874016 / 6
LCM(8592,8598) = 12312336

Properties of LCM 8592 and 8598

(i) The LCM of 8598 and 8592 is associative

LCM of 8592 and 8598 = LCM of 8598 and 8592

Related Least Common Multiples of 8592

Related Least Common Multiples of 8598

Frequently Asked Questions on LCM of 8592 and 8598

1. What is the LCM of 8592 and 8598?

Answer: LCM of 8592 and 8598 is 12312336.

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 8598?

Answer: Factors of 8598 are 1, 2, 3, 6, 1433, 2866, 4299, 8598. There are 8 integers that are factors of 8598. The greatest factor of 8598 is 8598.

4. How to Find the LCM of 8592 and 8598?

Answer:

Least Common Multiple of 8592 and 8598 = 12312336

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 8598

8598 = 2 x 3 x 1433

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

LCM = 12312336 = 2 x 2 x 2 x 2 x 3 x 179 x 1433

Step 4: Therefore, the least common multiple of 8592 and 8598 is 12312336.