Least Common Multiple of 4520 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 4520 and 4524 the smallest integer that is 5112120 that is divisible by both numbers.

Least Common Multiple (LCM) of 4520 and 4524 is 5112120.

LCM(4520,4524) = 5112120

LCM of 4520 and 4524

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

LCM of:
and

Least Common Multiple of 4520 and 4524

LCM of 4520 and 4524 is 5112120

Least common multiple can be found by multiplying the highest exponent prime factors of 4520 and 4524. First we will calculate the prime factors of 4520 and 4524.

Prime Factorization of 4520


2 4520
2 2260
2 1130
5 565
113 113
1

Prime factors of 4520 are 2, 5,113. Prime factorization of 4520 in exponential form is:

4520 = 23×51×1131

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 4520 and 4524.

LCM(4520,4524) = 23×31×51×131×291×1131
LCM(4520,4524) = 5112120

Factors of 4520

List of positive integer factors of 4520 that divides 4520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520

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 4520 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 4520 and 4524, than apply into the LCM equation.

GCF(4520,4524) = 4
LCM(4520,4524) = ( 4520 × 4524) / 4
LCM(4520,4524) = 20448480 / 4
LCM(4520,4524) = 5112120

Properties of LCM 4520 and 4524

(i) The LCM of 4524 and 4520 is associative

LCM of 4520 and 4524 = LCM of 4524 and 4520

Related Least Common Multiples of 4520

Related Least Common Multiples of 4524

Frequently Asked Questions on LCM of 4520 and 4524

1. What is the LCM of 4520 and 4524?

Answer: LCM of 4520 and 4524 is 5112120.

2. What are the Factors of 4520?

Answer: Factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520. There are 16 integers that are factors of 4520. The greatest factor of 4520 is 4520.

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 4520 and 4524?

Answer:

Least Common Multiple of 4520 and 4524 = 5112120

Step 1: Find the prime factorization of 4520

4520 = 2 x 2 x 2 x 5 x 113

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 = 5112120 = 2 x 2 x 2 x 3 x 5 x 13 x 29 x 113

Step 4: Therefore, the least common multiple of 4520 and 4524 is 5112120.