Least Common Multiple of 7593 and 7598

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 7598 the smallest integer that is 57691614 that is divisible by both numbers.

Least Common Multiple (LCM) of 7593 and 7598 is 57691614.

LCM(7593,7598) = 57691614

LCM of 7593 and 7598

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

LCM of:
and

Least Common Multiple of 7593 and 7598

LCM of 7593 and 7598 is 57691614

Least common multiple can be found by multiplying the highest exponent prime factors of 7593 and 7598. First we will calculate the prime factors of 7593 and 7598.

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 7598


2 7598
29 3799
131 131
1

Prime factors of 7598 are 2, 29,131. Prime factorization of 7598 in exponential form is:

7598 = 21×291×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7593 and 7598.

LCM(7593,7598) = 21×31×291×1311×25311
LCM(7593,7598) = 57691614

Factors of 7593

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

1, 3, 2531, 7593

Factors of 7598

List of positive integer factors of 7598 that divides 7598 without a remainder.

1, 2, 29, 58, 131, 262, 3799, 7598

Least Common Multiple of 7593 and 7598 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 7598, than apply into the LCM equation.

GCF(7593,7598) = 1
LCM(7593,7598) = ( 7593 × 7598) / 1
LCM(7593,7598) = 57691614 / 1
LCM(7593,7598) = 57691614

Properties of LCM 7593 and 7598

(i) The LCM of 7598 and 7593 is associative

LCM of 7593 and 7598 = LCM of 7598 and 7593

Related Least Common Multiples of 7593

Related Least Common Multiples of 7598

Frequently Asked Questions on LCM of 7593 and 7598

1. What is the LCM of 7593 and 7598?

Answer: LCM of 7593 and 7598 is 57691614.

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 7598?

Answer: Factors of 7598 are 1, 2, 29, 58, 131, 262, 3799, 7598. There are 8 integers that are factors of 7598. The greatest factor of 7598 is 7598.

4. How to Find the LCM of 7593 and 7598?

Answer:

Least Common Multiple of 7593 and 7598 = 57691614

Step 1: Find the prime factorization of 7593

7593 = 3 x 2531

Step 2: Find the prime factorization of 7598

7598 = 2 x 29 x 131

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

LCM = 57691614 = 2 x 3 x 29 x 131 x 2531

Step 4: Therefore, the least common multiple of 7593 and 7598 is 57691614.