Least Common Multiple of 4592 and 4599

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 4599 the smallest integer that is 3016944 that is divisible by both numbers.

Least Common Multiple (LCM) of 4592 and 4599 is 3016944.

LCM(4592,4599) = 3016944

LCM of 4592 and 4599

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

LCM of:
and

Least Common Multiple of 4592 and 4599

LCM of 4592 and 4599 is 3016944

Least common multiple can be found by multiplying the highest exponent prime factors of 4592 and 4599. First we will calculate the prime factors of 4592 and 4599.

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 4599


3 4599
3 1533
7 511
73 73
1

Prime factors of 4599 are 3, 7,73. Prime factorization of 4599 in exponential form is:

4599 = 32×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4592 and 4599.

LCM(4592,4599) = 24×32×71×411×731
LCM(4592,4599) = 3016944

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 4599

List of positive integer factors of 4599 that divides 4599 without a remainder.

1, 3, 7, 9, 21, 63, 73, 219, 511, 657, 1533, 4599

Least Common Multiple of 4592 and 4599 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 4599, than apply into the LCM equation.

GCF(4592,4599) = 7
LCM(4592,4599) = ( 4592 × 4599) / 7
LCM(4592,4599) = 21118608 / 7
LCM(4592,4599) = 3016944

Properties of LCM 4592 and 4599

(i) The LCM of 4599 and 4592 is associative

LCM of 4592 and 4599 = LCM of 4599 and 4592

Related Least Common Multiples of 4592

Related Least Common Multiples of 4599

Frequently Asked Questions on LCM of 4592 and 4599

1. What is the LCM of 4592 and 4599?

Answer: LCM of 4592 and 4599 is 3016944.

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 4599?

Answer: Factors of 4599 are 1, 3, 7, 9, 21, 63, 73, 219, 511, 657, 1533, 4599. There are 12 integers that are factors of 4599. The greatest factor of 4599 is 4599.

4. How to Find the LCM of 4592 and 4599?

Answer:

Least Common Multiple of 4592 and 4599 = 3016944

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 4599

4599 = 3 x 3 x 7 x 73

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

LCM = 3016944 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 41 x 73

Step 4: Therefore, the least common multiple of 4592 and 4599 is 3016944.