Least Common Multiple of 7593 and 7599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7593 and 7599 the smallest integer that is 19233069 that is divisible by both numbers.

Least Common Multiple (LCM) of 7593 and 7599 is 19233069.

LCM(7593,7599) = 19233069

LCM of 7593 and 7599

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

LCM of:
and

Least Common Multiple of 7593 and 7599

LCM of 7593 and 7599 is 19233069

Least common multiple can be found by multiplying the highest exponent prime factors of 7593 and 7599. First we will calculate the prime factors of 7593 and 7599.

Prime Factorization of 7593


3 7593
2531 2531
1

Prime factors of 7593 are 3,2531. Prime factorization of 7593 in exponential form is:

7593 = 31×25311

Prime Factorization of 7599


3 7599
17 2533
149 149
1

Prime factors of 7599 are 3, 17,149. Prime factorization of 7599 in exponential form is:

7599 = 31×171×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 7593 and 7599.

LCM(7593,7599) = 31×171×1491×25311
LCM(7593,7599) = 19233069

Factors of 7593

List of positive integer factors of 7593 that divides 7593 without a remainder.

1, 3, 2531, 7593

Factors of 7599

List of positive integer factors of 7599 that divides 7599 without a remainder.

1, 3, 17, 51, 149, 447, 2533, 7599

Least Common Multiple of 7593 and 7599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7593 and 7599, than apply into the LCM equation.

GCF(7593,7599) = 3
LCM(7593,7599) = ( 7593 × 7599) / 3
LCM(7593,7599) = 57699207 / 3
LCM(7593,7599) = 19233069

Properties of LCM 7593 and 7599

(i) The LCM of 7599 and 7593 is associative

LCM of 7593 and 7599 = LCM of 7599 and 7593

Related Least Common Multiples of 7593

Related Least Common Multiples of 7599

Frequently Asked Questions on LCM of 7593 and 7599

1. What is the LCM of 7593 and 7599?

Answer: LCM of 7593 and 7599 is 19233069.

2. What are the Factors of 7593?

Answer: Factors of 7593 are 1, 3, 2531, 7593. There are 4 integers that are factors of 7593. The greatest factor of 7593 is 7593.

3. What are the Factors of 7599?

Answer: Factors of 7599 are 1, 3, 17, 51, 149, 447, 2533, 7599. There are 8 integers that are factors of 7599. The greatest factor of 7599 is 7599.

4. How to Find the LCM of 7593 and 7599?

Answer:

Least Common Multiple of 7593 and 7599 = 19233069

Step 1: Find the prime factorization of 7593

7593 = 3 x 2531

Step 2: Find the prime factorization of 7599

7599 = 3 x 17 x 149

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

LCM = 19233069 = 3 x 17 x 149 x 2531

Step 4: Therefore, the least common multiple of 7593 and 7599 is 19233069.