Least Common Multiple of 4583 and 4590

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 4590 the smallest integer that is 21035970 that is divisible by both numbers.

Least Common Multiple (LCM) of 4583 and 4590 is 21035970.

LCM(4583,4590) = 21035970

LCM of 4583 and 4590

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

LCM of:
and

Least Common Multiple of 4583 and 4590

LCM of 4583 and 4590 is 21035970

Least common multiple can be found by multiplying the highest exponent prime factors of 4583 and 4590. First we will calculate the prime factors of 4583 and 4590.

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 4590


2 4590
3 2295
3 765
3 255
5 85
17 17
1

Prime factors of 4590 are 2, 3, 5,17. Prime factorization of 4590 in exponential form is:

4590 = 21×33×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4583 and 4590.

LCM(4583,4590) = 21×33×51×171×45831
LCM(4583,4590) = 21035970

Factors of 4583

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

1, 4583

Factors of 4590

List of positive integer factors of 4590 that divides 4590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590

Least Common Multiple of 4583 and 4590 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 4590, than apply into the LCM equation.

GCF(4583,4590) = 1
LCM(4583,4590) = ( 4583 × 4590) / 1
LCM(4583,4590) = 21035970 / 1
LCM(4583,4590) = 21035970

Properties of LCM 4583 and 4590

(i) The LCM of 4590 and 4583 is associative

LCM of 4583 and 4590 = LCM of 4590 and 4583

Related Least Common Multiples of 4583

Related Least Common Multiples of 4590

Frequently Asked Questions on LCM of 4583 and 4590

1. What is the LCM of 4583 and 4590?

Answer: LCM of 4583 and 4590 is 21035970.

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 4590?

Answer: Factors of 4590 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590. There are 32 integers that are factors of 4590. The greatest factor of 4590 is 4590.

4. How to Find the LCM of 4583 and 4590?

Answer:

Least Common Multiple of 4583 and 4590 = 21035970

Step 1: Find the prime factorization of 4583

4583 = 4583

Step 2: Find the prime factorization of 4590

4590 = 2 x 3 x 3 x 3 x 5 x 17

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

LCM = 21035970 = 2 x 3 x 3 x 3 x 5 x 17 x 4583

Step 4: Therefore, the least common multiple of 4583 and 4590 is 21035970.