Least Common Multiple of 4592 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 4592 and 4594 the smallest integer that is 10547824 that is divisible by both numbers.

Least Common Multiple (LCM) of 4592 and 4594 is 10547824.

LCM(4592,4594) = 10547824

LCM of 4592 and 4594

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

LCM of:
and

Least Common Multiple of 4592 and 4594

LCM of 4592 and 4594 is 10547824

Least common multiple can be found by multiplying the highest exponent prime factors of 4592 and 4594. First we will calculate the prime factors of 4592 and 4594.

Prime Factorization of 4592


2 4592
2 2296
2 1148
2 574
7 287
41 41
1

Prime factors of 4592 are 2, 7,41. Prime factorization of 4592 in exponential form is:

4592 = 24×71×411

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 4592 and 4594.

LCM(4592,4594) = 24×71×411×22971
LCM(4592,4594) = 10547824

Factors of 4592

List of positive integer factors of 4592 that divides 4592 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592

Factors of 4594

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

1, 2, 2297, 4594

Least Common Multiple of 4592 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 4592 and 4594, than apply into the LCM equation.

GCF(4592,4594) = 2
LCM(4592,4594) = ( 4592 × 4594) / 2
LCM(4592,4594) = 21095648 / 2
LCM(4592,4594) = 10547824

Properties of LCM 4592 and 4594

(i) The LCM of 4594 and 4592 is associative

LCM of 4592 and 4594 = LCM of 4594 and 4592

Related Least Common Multiples of 4592

Related Least Common Multiples of 4594

Frequently Asked Questions on LCM of 4592 and 4594

1. What is the LCM of 4592 and 4594?

Answer: LCM of 4592 and 4594 is 10547824.

2. What are the Factors of 4592?

Answer: Factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592. There are 20 integers that are factors of 4592. The greatest factor of 4592 is 4592.

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 4592 and 4594?

Answer:

Least Common Multiple of 4592 and 4594 = 10547824

Step 1: Find the prime factorization of 4592

4592 = 2 x 2 x 2 x 2 x 7 x 41

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 = 10547824 = 2 x 2 x 2 x 2 x 7 x 41 x 2297

Step 4: Therefore, the least common multiple of 4592 and 4594 is 10547824.