Least Common Multiple of 4593 and 4598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4593 and 4598 the smallest integer that is 21118614 that is divisible by both numbers.

Least Common Multiple (LCM) of 4593 and 4598 is 21118614.

LCM(4593,4598) = 21118614

LCM of 4593 and 4598

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

LCM of:
and

Least Common Multiple of 4593 and 4598

LCM of 4593 and 4598 is 21118614

Least common multiple can be found by multiplying the highest exponent prime factors of 4593 and 4598. First we will calculate the prime factors of 4593 and 4598.

Prime Factorization of 4593


3 4593
1531 1531
1

Prime factors of 4593 are 3,1531. Prime factorization of 4593 in exponential form is:

4593 = 31×15311

Prime Factorization of 4598


2 4598
11 2299
11 209
19 19
1

Prime factors of 4598 are 2, 11,19. Prime factorization of 4598 in exponential form is:

4598 = 21×112×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4593 and 4598.

LCM(4593,4598) = 21×31×112×191×15311
LCM(4593,4598) = 21118614

Factors of 4593

List of positive integer factors of 4593 that divides 4593 without a remainder.

1, 3, 1531, 4593

Factors of 4598

List of positive integer factors of 4598 that divides 4598 without a remainder.

1, 2, 11, 19, 22, 38, 121, 209, 242, 418, 2299, 4598

Least Common Multiple of 4593 and 4598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4593 and 4598, than apply into the LCM equation.

GCF(4593,4598) = 1
LCM(4593,4598) = ( 4593 × 4598) / 1
LCM(4593,4598) = 21118614 / 1
LCM(4593,4598) = 21118614

Properties of LCM 4593 and 4598

(i) The LCM of 4598 and 4593 is associative

LCM of 4593 and 4598 = LCM of 4598 and 4593

Related Least Common Multiples of 4593

Related Least Common Multiples of 4598

Frequently Asked Questions on LCM of 4593 and 4598

1. What is the LCM of 4593 and 4598?

Answer: LCM of 4593 and 4598 is 21118614.

2. What are the Factors of 4593?

Answer: Factors of 4593 are 1, 3, 1531, 4593. There are 4 integers that are factors of 4593. The greatest factor of 4593 is 4593.

3. What are the Factors of 4598?

Answer: Factors of 4598 are 1, 2, 11, 19, 22, 38, 121, 209, 242, 418, 2299, 4598. There are 12 integers that are factors of 4598. The greatest factor of 4598 is 4598.

4. How to Find the LCM of 4593 and 4598?

Answer:

Least Common Multiple of 4593 and 4598 = 21118614

Step 1: Find the prime factorization of 4593

4593 = 3 x 1531

Step 2: Find the prime factorization of 4598

4598 = 2 x 11 x 11 x 19

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

LCM = 21118614 = 2 x 3 x 11 x 11 x 19 x 1531

Step 4: Therefore, the least common multiple of 4593 and 4598 is 21118614.