Least Common Multiple of 4583 and 4589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4583 and 4589 the smallest integer that is 21031387 that is divisible by both numbers.

Least Common Multiple (LCM) of 4583 and 4589 is 21031387.

LCM(4583,4589) = 21031387

LCM of 4583 and 4589

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

LCM of:
and

Least Common Multiple of 4583 and 4589

LCM of 4583 and 4589 is 21031387

Least common multiple can be found by multiplying the highest exponent prime factors of 4583 and 4589. First we will calculate the prime factors of 4583 and 4589.

Prime Factorization of 4583


4583 4583
1

Prime factors of 4583 are 4583. Prime factorization of 4583 in exponential form is:

4583 = 45831

Prime Factorization of 4589


13 4589
353 353
1

Prime factors of 4589 are 13,353. Prime factorization of 4589 in exponential form is:

4589 = 131×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 4583 and 4589.

LCM(4583,4589) = 131×3531×45831
LCM(4583,4589) = 21031387

Factors of 4583

List of positive integer factors of 4583 that divides 4583 without a remainder.

1, 4583

Factors of 4589

List of positive integer factors of 4589 that divides 4589 without a remainder.

1, 13, 353, 4589

Least Common Multiple of 4583 and 4589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4583 and 4589, than apply into the LCM equation.

GCF(4583,4589) = 1
LCM(4583,4589) = ( 4583 × 4589) / 1
LCM(4583,4589) = 21031387 / 1
LCM(4583,4589) = 21031387

Properties of LCM 4583 and 4589

(i) The LCM of 4589 and 4583 is associative

LCM of 4583 and 4589 = LCM of 4589 and 4583

Related Least Common Multiples of 4583

Related Least Common Multiples of 4589

Frequently Asked Questions on LCM of 4583 and 4589

1. What is the LCM of 4583 and 4589?

Answer: LCM of 4583 and 4589 is 21031387.

2. What are the Factors of 4583?

Answer: Factors of 4583 are 1, 4583. There are 2 integers that are factors of 4583. The greatest factor of 4583 is 4583.

3. What are the Factors of 4589?

Answer: Factors of 4589 are 1, 13, 353, 4589. There are 4 integers that are factors of 4589. The greatest factor of 4589 is 4589.

4. How to Find the LCM of 4583 and 4589?

Answer:

Least Common Multiple of 4583 and 4589 = 21031387

Step 1: Find the prime factorization of 4583

4583 = 4583

Step 2: Find the prime factorization of 4589

4589 = 13 x 353

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

LCM = 21031387 = 13 x 353 x 4583

Step 4: Therefore, the least common multiple of 4583 and 4589 is 21031387.