Least Common Multiple of 7593 and 7597

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 7597 the smallest integer that is 57684021 that is divisible by both numbers.

Least Common Multiple (LCM) of 7593 and 7597 is 57684021.

LCM(7593,7597) = 57684021

LCM of 7593 and 7597

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

LCM of:
and

Least Common Multiple of 7593 and 7597

LCM of 7593 and 7597 is 57684021

Least common multiple can be found by multiplying the highest exponent prime factors of 7593 and 7597. First we will calculate the prime factors of 7593 and 7597.

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 7597


71 7597
107 107
1

Prime factors of 7597 are 71,107. Prime factorization of 7597 in exponential form is:

7597 = 711×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7593 and 7597.

LCM(7593,7597) = 31×711×1071×25311
LCM(7593,7597) = 57684021

Factors of 7593

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

1, 3, 2531, 7593

Factors of 7597

List of positive integer factors of 7597 that divides 7597 without a remainder.

1, 71, 107, 7597

Least Common Multiple of 7593 and 7597 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 7597, than apply into the LCM equation.

GCF(7593,7597) = 1
LCM(7593,7597) = ( 7593 × 7597) / 1
LCM(7593,7597) = 57684021 / 1
LCM(7593,7597) = 57684021

Properties of LCM 7593 and 7597

(i) The LCM of 7597 and 7593 is associative

LCM of 7593 and 7597 = LCM of 7597 and 7593

Related Least Common Multiples of 7593

Related Least Common Multiples of 7597

Frequently Asked Questions on LCM of 7593 and 7597

1. What is the LCM of 7593 and 7597?

Answer: LCM of 7593 and 7597 is 57684021.

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 7597?

Answer: Factors of 7597 are 1, 71, 107, 7597. There are 4 integers that are factors of 7597. The greatest factor of 7597 is 7597.

4. How to Find the LCM of 7593 and 7597?

Answer:

Least Common Multiple of 7593 and 7597 = 57684021

Step 1: Find the prime factorization of 7593

7593 = 3 x 2531

Step 2: Find the prime factorization of 7597

7597 = 71 x 107

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

LCM = 57684021 = 3 x 71 x 107 x 2531

Step 4: Therefore, the least common multiple of 7593 and 7597 is 57684021.