Least Common Multiple of 4587 and 4592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4587 and 4592 the smallest integer that is 21063504 that is divisible by both numbers.

Least Common Multiple (LCM) of 4587 and 4592 is 21063504.

LCM(4587,4592) = 21063504

LCM of 4587 and 4592

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

LCM of:
and

Least Common Multiple of 4587 and 4592

LCM of 4587 and 4592 is 21063504

Least common multiple can be found by multiplying the highest exponent prime factors of 4587 and 4592. First we will calculate the prime factors of 4587 and 4592.

Prime Factorization of 4587


3 4587
11 1529
139 139
1

Prime factors of 4587 are 3, 11,139. Prime factorization of 4587 in exponential form is:

4587 = 31×111×1391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4587 and 4592.

LCM(4587,4592) = 24×31×71×111×411×1391
LCM(4587,4592) = 21063504

Factors of 4587

List of positive integer factors of 4587 that divides 4587 without a remainder.

1, 3, 11, 33, 139, 417, 1529, 4587

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

Least Common Multiple of 4587 and 4592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4587 and 4592, than apply into the LCM equation.

GCF(4587,4592) = 1
LCM(4587,4592) = ( 4587 × 4592) / 1
LCM(4587,4592) = 21063504 / 1
LCM(4587,4592) = 21063504

Properties of LCM 4587 and 4592

(i) The LCM of 4592 and 4587 is associative

LCM of 4587 and 4592 = LCM of 4592 and 4587

Related Least Common Multiples of 4587

Related Least Common Multiples of 4592

Frequently Asked Questions on LCM of 4587 and 4592

1. What is the LCM of 4587 and 4592?

Answer: LCM of 4587 and 4592 is 21063504.

2. What are the Factors of 4587?

Answer: Factors of 4587 are 1, 3, 11, 33, 139, 417, 1529, 4587. There are 8 integers that are factors of 4587. The greatest factor of 4587 is 4587.

3. 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.

4. How to Find the LCM of 4587 and 4592?

Answer:

Least Common Multiple of 4587 and 4592 = 21063504

Step 1: Find the prime factorization of 4587

4587 = 3 x 11 x 139

Step 2: Find the prime factorization of 4592

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

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

LCM = 21063504 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 41 x 139

Step 4: Therefore, the least common multiple of 4587 and 4592 is 21063504.