Least Common Multiple of 4524 and 4528

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 4528 the smallest integer that is 5121168 that is divisible by both numbers.

Least Common Multiple (LCM) of 4524 and 4528 is 5121168.

LCM(4524,4528) = 5121168

LCM of 4524 and 4528

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

LCM of:
and

Least Common Multiple of 4524 and 4528

LCM of 4524 and 4528 is 5121168

Least common multiple can be found by multiplying the highest exponent prime factors of 4524 and 4528. First we will calculate the prime factors of 4524 and 4528.

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 4528


2 4528
2 2264
2 1132
2 566
283 283
1

Prime factors of 4528 are 2,283. Prime factorization of 4528 in exponential form is:

4528 = 24×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 4524 and 4528.

LCM(4524,4528) = 24×31×131×291×2831
LCM(4524,4528) = 5121168

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 4528

List of positive integer factors of 4528 that divides 4528 without a remainder.

1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528

Least Common Multiple of 4524 and 4528 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 4528, than apply into the LCM equation.

GCF(4524,4528) = 4
LCM(4524,4528) = ( 4524 × 4528) / 4
LCM(4524,4528) = 20484672 / 4
LCM(4524,4528) = 5121168

Properties of LCM 4524 and 4528

(i) The LCM of 4528 and 4524 is associative

LCM of 4524 and 4528 = LCM of 4528 and 4524

Related Least Common Multiples of 4524

Related Least Common Multiples of 4528

Frequently Asked Questions on LCM of 4524 and 4528

1. What is the LCM of 4524 and 4528?

Answer: LCM of 4524 and 4528 is 5121168.

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 4528?

Answer: Factors of 4528 are 1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528. There are 10 integers that are factors of 4528. The greatest factor of 4528 is 4528.

4. How to Find the LCM of 4524 and 4528?

Answer:

Least Common Multiple of 4524 and 4528 = 5121168

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 4528

4528 = 2 x 2 x 2 x 2 x 283

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

LCM = 5121168 = 2 x 2 x 2 x 2 x 3 x 13 x 29 x 283

Step 4: Therefore, the least common multiple of 4524 and 4528 is 5121168.