Least Common Multiple of 4590 and 4594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4590 and 4594 the smallest integer that is 10543230 that is divisible by both numbers.

Least Common Multiple (LCM) of 4590 and 4594 is 10543230.

LCM(4590,4594) = 10543230

LCM of 4590 and 4594

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

LCM of:
and

Least Common Multiple of 4590 and 4594

LCM of 4590 and 4594 is 10543230

Least common multiple can be found by multiplying the highest exponent prime factors of 4590 and 4594. First we will calculate the prime factors of 4590 and 4594.

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

Prime Factorization of 4594


2 4594
2297 2297
1

Prime factors of 4594 are 2,2297. Prime factorization of 4594 in exponential form is:

4594 = 21×22971

Now multiplying the highest exponent prime factors to calculate the LCM of 4590 and 4594.

LCM(4590,4594) = 21×33×51×171×22971
LCM(4590,4594) = 10543230

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

Factors of 4594

List of positive integer factors of 4594 that divides 4594 without a remainder.

1, 2, 2297, 4594

Least Common Multiple of 4590 and 4594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4590 and 4594, than apply into the LCM equation.

GCF(4590,4594) = 2
LCM(4590,4594) = ( 4590 × 4594) / 2
LCM(4590,4594) = 21086460 / 2
LCM(4590,4594) = 10543230

Properties of LCM 4590 and 4594

(i) The LCM of 4594 and 4590 is associative

LCM of 4590 and 4594 = LCM of 4594 and 4590

Related Least Common Multiples of 4590

Related Least Common Multiples of 4594

Frequently Asked Questions on LCM of 4590 and 4594

1. What is the LCM of 4590 and 4594?

Answer: LCM of 4590 and 4594 is 10543230.

2. 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.

3. What are the Factors of 4594?

Answer: Factors of 4594 are 1, 2, 2297, 4594. There are 4 integers that are factors of 4594. The greatest factor of 4594 is 4594.

4. How to Find the LCM of 4590 and 4594?

Answer:

Least Common Multiple of 4590 and 4594 = 10543230

Step 1: Find the prime factorization of 4590

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

Step 2: Find the prime factorization of 4594

4594 = 2 x 2297

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

LCM = 10543230 = 2 x 3 x 3 x 3 x 5 x 17 x 2297

Step 4: Therefore, the least common multiple of 4590 and 4594 is 10543230.