Least Common Multiple of 4588 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 4588 and 4594 the smallest integer that is 10538636 that is divisible by both numbers.

Least Common Multiple (LCM) of 4588 and 4594 is 10538636.

LCM(4588,4594) = 10538636

LCM of 4588 and 4594

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

LCM of:
and

Least Common Multiple of 4588 and 4594

LCM of 4588 and 4594 is 10538636

Least common multiple can be found by multiplying the highest exponent prime factors of 4588 and 4594. First we will calculate the prime factors of 4588 and 4594.

Prime Factorization of 4588


2 4588
2 2294
31 1147
37 37
1

Prime factors of 4588 are 2, 31,37. Prime factorization of 4588 in exponential form is:

4588 = 22×311×371

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 4588 and 4594.

LCM(4588,4594) = 22×311×371×22971
LCM(4588,4594) = 10538636

Factors of 4588

List of positive integer factors of 4588 that divides 4588 without a remainder.

1, 2, 4, 31, 37, 62, 74, 124, 148, 1147, 2294, 4588

Factors of 4594

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

1, 2, 2297, 4594

Least Common Multiple of 4588 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 4588 and 4594, than apply into the LCM equation.

GCF(4588,4594) = 2
LCM(4588,4594) = ( 4588 × 4594) / 2
LCM(4588,4594) = 21077272 / 2
LCM(4588,4594) = 10538636

Properties of LCM 4588 and 4594

(i) The LCM of 4594 and 4588 is associative

LCM of 4588 and 4594 = LCM of 4594 and 4588

Related Least Common Multiples of 4588

Related Least Common Multiples of 4594

Frequently Asked Questions on LCM of 4588 and 4594

1. What is the LCM of 4588 and 4594?

Answer: LCM of 4588 and 4594 is 10538636.

2. What are the Factors of 4588?

Answer: Factors of 4588 are 1, 2, 4, 31, 37, 62, 74, 124, 148, 1147, 2294, 4588. There are 12 integers that are factors of 4588. The greatest factor of 4588 is 4588.

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 4588 and 4594?

Answer:

Least Common Multiple of 4588 and 4594 = 10538636

Step 1: Find the prime factorization of 4588

4588 = 2 x 2 x 31 x 37

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 = 10538636 = 2 x 2 x 31 x 37 x 2297

Step 4: Therefore, the least common multiple of 4588 and 4594 is 10538636.