Least Common Multiple of 7583 and 7589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7583 and 7589 the smallest integer that is 57547387 that is divisible by both numbers.

Least Common Multiple (LCM) of 7583 and 7589 is 57547387.

LCM(7583,7589) = 57547387

LCM of 7583 and 7589

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

LCM of:
and

Least Common Multiple of 7583 and 7589

LCM of 7583 and 7589 is 57547387

Least common multiple can be found by multiplying the highest exponent prime factors of 7583 and 7589. First we will calculate the prime factors of 7583 and 7589.

Prime Factorization of 7583


7583 7583
1

Prime factors of 7583 are 7583. Prime factorization of 7583 in exponential form is:

7583 = 75831

Prime Factorization of 7589


7589 7589
1

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

7589 = 75891

Now multiplying the highest exponent prime factors to calculate the LCM of 7583 and 7589.

LCM(7583,7589) = 75831×75891
LCM(7583,7589) = 57547387

Factors of 7583

List of positive integer factors of 7583 that divides 7583 without a remainder.

1, 7583

Factors of 7589

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

1, 7589

Least Common Multiple of 7583 and 7589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7583 and 7589, than apply into the LCM equation.

GCF(7583,7589) = 1
LCM(7583,7589) = ( 7583 × 7589) / 1
LCM(7583,7589) = 57547387 / 1
LCM(7583,7589) = 57547387

Properties of LCM 7583 and 7589

(i) The LCM of 7589 and 7583 is associative

LCM of 7583 and 7589 = LCM of 7589 and 7583

Related Least Common Multiples of 7583

Related Least Common Multiples of 7589

Frequently Asked Questions on LCM of 7583 and 7589

1. What is the LCM of 7583 and 7589?

Answer: LCM of 7583 and 7589 is 57547387.

2. What are the Factors of 7583?

Answer: Factors of 7583 are 1, 7583. There are 2 integers that are factors of 7583. The greatest factor of 7583 is 7583.

3. 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.

4. How to Find the LCM of 7583 and 7589?

Answer:

Least Common Multiple of 7583 and 7589 = 57547387

Step 1: Find the prime factorization of 7583

7583 = 7583

Step 2: Find the prime factorization of 7589

7589 = 7589

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

LCM = 57547387 = 7583 x 7589

Step 4: Therefore, the least common multiple of 7583 and 7589 is 57547387.