Least Common Multiple of 7589 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 7589 and 7597 the smallest integer that is 57653633 that is divisible by both numbers.

Least Common Multiple (LCM) of 7589 and 7597 is 57653633.

LCM(7589,7597) = 57653633

LCM of 7589 and 7597

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

LCM of:
and

Least Common Multiple of 7589 and 7597

LCM of 7589 and 7597 is 57653633

Least common multiple can be found by multiplying the highest exponent prime factors of 7589 and 7597. First we will calculate the prime factors of 7589 and 7597.

Prime Factorization of 7589


7589 7589
1

Prime factors of 7589 are 7589. Prime factorization of 7589 in exponential form is:

7589 = 75891

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 7589 and 7597.

LCM(7589,7597) = 711×1071×75891
LCM(7589,7597) = 57653633

Factors of 7589

List of positive integer factors of 7589 that divides 7589 without a remainder.

1, 7589

Factors of 7597

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

1, 71, 107, 7597

Least Common Multiple of 7589 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 7589 and 7597, than apply into the LCM equation.

GCF(7589,7597) = 1
LCM(7589,7597) = ( 7589 × 7597) / 1
LCM(7589,7597) = 57653633 / 1
LCM(7589,7597) = 57653633

Properties of LCM 7589 and 7597

(i) The LCM of 7597 and 7589 is associative

LCM of 7589 and 7597 = LCM of 7597 and 7589

Related Least Common Multiples of 7589

Related Least Common Multiples of 7597

Frequently Asked Questions on LCM of 7589 and 7597

1. What is the LCM of 7589 and 7597?

Answer: LCM of 7589 and 7597 is 57653633.

2. What are the Factors of 7589?

Answer: Factors of 7589 are 1, 7589. There are 2 integers that are factors of 7589. The greatest factor of 7589 is 7589.

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 7589 and 7597?

Answer:

Least Common Multiple of 7589 and 7597 = 57653633

Step 1: Find the prime factorization of 7589

7589 = 7589

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 = 57653633 = 71 x 107 x 7589

Step 4: Therefore, the least common multiple of 7589 and 7597 is 57653633.