Least Common Multiple of 4518 and 4524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4518 and 4524 the smallest integer that is 3406572 that is divisible by both numbers.

Least Common Multiple (LCM) of 4518 and 4524 is 3406572.

LCM(4518,4524) = 3406572

LCM of 4518 and 4524

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

LCM of:
and

Least Common Multiple of 4518 and 4524

LCM of 4518 and 4524 is 3406572

Least common multiple can be found by multiplying the highest exponent prime factors of 4518 and 4524. First we will calculate the prime factors of 4518 and 4524.

Prime Factorization of 4518


2 4518
3 2259
3 753
251 251
1

Prime factors of 4518 are 2, 3,251. Prime factorization of 4518 in exponential form is:

4518 = 21×32×2511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4518 and 4524.

LCM(4518,4524) = 22×32×131×291×2511
LCM(4518,4524) = 3406572

Factors of 4518

List of positive integer factors of 4518 that divides 4518 without a remainder.

1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518

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

Least Common Multiple of 4518 and 4524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4518 and 4524, than apply into the LCM equation.

GCF(4518,4524) = 6
LCM(4518,4524) = ( 4518 × 4524) / 6
LCM(4518,4524) = 20439432 / 6
LCM(4518,4524) = 3406572

Properties of LCM 4518 and 4524

(i) The LCM of 4524 and 4518 is associative

LCM of 4518 and 4524 = LCM of 4524 and 4518

Related Least Common Multiples of 4518

Related Least Common Multiples of 4524

Frequently Asked Questions on LCM of 4518 and 4524

1. What is the LCM of 4518 and 4524?

Answer: LCM of 4518 and 4524 is 3406572.

2. What are the Factors of 4518?

Answer: Factors of 4518 are 1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518. There are 12 integers that are factors of 4518. The greatest factor of 4518 is 4518.

3. 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.

4. How to Find the LCM of 4518 and 4524?

Answer:

Least Common Multiple of 4518 and 4524 = 3406572

Step 1: Find the prime factorization of 4518

4518 = 2 x 3 x 3 x 251

Step 2: Find the prime factorization of 4524

4524 = 2 x 2 x 3 x 13 x 29

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

LCM = 3406572 = 2 x 2 x 3 x 3 x 13 x 29 x 251

Step 4: Therefore, the least common multiple of 4518 and 4524 is 3406572.