Least Common Multiple of 4524 and 4530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4524 and 4530 the smallest integer that is 3415620 that is divisible by both numbers.

Least Common Multiple (LCM) of 4524 and 4530 is 3415620.

LCM(4524,4530) = 3415620

LCM of 4524 and 4530

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

LCM of:
and

Least Common Multiple of 4524 and 4530

LCM of 4524 and 4530 is 3415620

Least common multiple can be found by multiplying the highest exponent prime factors of 4524 and 4530. First we will calculate the prime factors of 4524 and 4530.

Prime Factorization of 4524


2 4524
2 2262
3 1131
13 377
29 29
1

Prime factors of 4524 are 2, 3, 13,29. Prime factorization of 4524 in exponential form is:

4524 = 22×31×131×291

Prime Factorization of 4530


2 4530
3 2265
5 755
151 151
1

Prime factors of 4530 are 2, 3, 5,151. Prime factorization of 4530 in exponential form is:

4530 = 21×31×51×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4524 and 4530.

LCM(4524,4530) = 22×31×51×131×291×1511
LCM(4524,4530) = 3415620

Factors of 4524

List of positive integer factors of 4524 that divides 4524 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524

Factors of 4530

List of positive integer factors of 4530 that divides 4530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530

Least Common Multiple of 4524 and 4530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4524 and 4530, than apply into the LCM equation.

GCF(4524,4530) = 6
LCM(4524,4530) = ( 4524 × 4530) / 6
LCM(4524,4530) = 20493720 / 6
LCM(4524,4530) = 3415620

Properties of LCM 4524 and 4530

(i) The LCM of 4530 and 4524 is associative

LCM of 4524 and 4530 = LCM of 4530 and 4524

Related Least Common Multiples of 4524

Related Least Common Multiples of 4530

Frequently Asked Questions on LCM of 4524 and 4530

1. What is the LCM of 4524 and 4530?

Answer: LCM of 4524 and 4530 is 3415620.

2. What are the Factors of 4524?

Answer: Factors of 4524 are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524. There are 24 integers that are factors of 4524. The greatest factor of 4524 is 4524.

3. What are the Factors of 4530?

Answer: Factors of 4530 are 1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530. There are 16 integers that are factors of 4530. The greatest factor of 4530 is 4530.

4. How to Find the LCM of 4524 and 4530?

Answer:

Least Common Multiple of 4524 and 4530 = 3415620

Step 1: Find the prime factorization of 4524

4524 = 2 x 2 x 3 x 13 x 29

Step 2: Find the prime factorization of 4530

4530 = 2 x 3 x 5 x 151

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

LCM = 3415620 = 2 x 2 x 3 x 5 x 13 x 29 x 151

Step 4: Therefore, the least common multiple of 4524 and 4530 is 3415620.