Least Common Multiple of 4539 and 4544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4539 and 4544 the smallest integer that is 20625216 that is divisible by both numbers.

Least Common Multiple (LCM) of 4539 and 4544 is 20625216.

LCM(4539,4544) = 20625216

LCM of 4539 and 4544

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

LCM of:
and

Least Common Multiple of 4539 and 4544

LCM of 4539 and 4544 is 20625216

Least common multiple can be found by multiplying the highest exponent prime factors of 4539 and 4544. First we will calculate the prime factors of 4539 and 4544.

Prime Factorization of 4539


3 4539
17 1513
89 89
1

Prime factors of 4539 are 3, 17,89. Prime factorization of 4539 in exponential form is:

4539 = 31×171×891

Prime Factorization of 4544


2 4544
2 2272
2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 4544 are 2,71. Prime factorization of 4544 in exponential form is:

4544 = 26×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4539 and 4544.

LCM(4539,4544) = 26×31×171×711×891
LCM(4539,4544) = 20625216

Factors of 4539

List of positive integer factors of 4539 that divides 4539 without a remainder.

1, 3, 17, 51, 89, 267, 1513, 4539

Factors of 4544

List of positive integer factors of 4544 that divides 4544 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544

Least Common Multiple of 4539 and 4544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4539 and 4544, than apply into the LCM equation.

GCF(4539,4544) = 1
LCM(4539,4544) = ( 4539 × 4544) / 1
LCM(4539,4544) = 20625216 / 1
LCM(4539,4544) = 20625216

Properties of LCM 4539 and 4544

(i) The LCM of 4544 and 4539 is associative

LCM of 4539 and 4544 = LCM of 4544 and 4539

Related Least Common Multiples of 4539

Related Least Common Multiples of 4544

Frequently Asked Questions on LCM of 4539 and 4544

1. What is the LCM of 4539 and 4544?

Answer: LCM of 4539 and 4544 is 20625216.

2. What are the Factors of 4539?

Answer: Factors of 4539 are 1, 3, 17, 51, 89, 267, 1513, 4539. There are 8 integers that are factors of 4539. The greatest factor of 4539 is 4539.

3. What are the Factors of 4544?

Answer: Factors of 4544 are 1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544. There are 14 integers that are factors of 4544. The greatest factor of 4544 is 4544.

4. How to Find the LCM of 4539 and 4544?

Answer:

Least Common Multiple of 4539 and 4544 = 20625216

Step 1: Find the prime factorization of 4539

4539 = 3 x 17 x 89

Step 2: Find the prime factorization of 4544

4544 = 2 x 2 x 2 x 2 x 2 x 2 x 71

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

LCM = 20625216 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 71 x 89

Step 4: Therefore, the least common multiple of 4539 and 4544 is 20625216.