Least Common Multiple of 4592 and 4600

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 4600 the smallest integer that is 2640400 that is divisible by both numbers.

Least Common Multiple (LCM) of 4592 and 4600 is 2640400.

LCM(4592,4600) = 2640400

LCM of 4592 and 4600

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

LCM of:
and

Least Common Multiple of 4592 and 4600

LCM of 4592 and 4600 is 2640400

Least common multiple can be found by multiplying the highest exponent prime factors of 4592 and 4600. First we will calculate the prime factors of 4592 and 4600.

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 4600


2 4600
2 2300
2 1150
5 575
5 115
23 23
1

Prime factors of 4600 are 2, 5,23. Prime factorization of 4600 in exponential form is:

4600 = 23×52×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4592 and 4600.

LCM(4592,4600) = 24×52×71×231×411
LCM(4592,4600) = 2640400

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 4600

List of positive integer factors of 4600 that divides 4600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600

Least Common Multiple of 4592 and 4600 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 4600, than apply into the LCM equation.

GCF(4592,4600) = 8
LCM(4592,4600) = ( 4592 × 4600) / 8
LCM(4592,4600) = 21123200 / 8
LCM(4592,4600) = 2640400

Properties of LCM 4592 and 4600

(i) The LCM of 4600 and 4592 is associative

LCM of 4592 and 4600 = LCM of 4600 and 4592

Related Least Common Multiples of 4592

Related Least Common Multiples of 4600

Frequently Asked Questions on LCM of 4592 and 4600

1. What is the LCM of 4592 and 4600?

Answer: LCM of 4592 and 4600 is 2640400.

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 4600?

Answer: Factors of 4600 are 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600. There are 24 integers that are factors of 4600. The greatest factor of 4600 is 4600.

4. How to Find the LCM of 4592 and 4600?

Answer:

Least Common Multiple of 4592 and 4600 = 2640400

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 4600

4600 = 2 x 2 x 2 x 5 x 5 x 23

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

LCM = 2640400 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 23 x 41

Step 4: Therefore, the least common multiple of 4592 and 4600 is 2640400.