Least Common Multiple of 5220 and 5224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5220 and 5224 the smallest integer that is 6817320 that is divisible by both numbers.

Least Common Multiple (LCM) of 5220 and 5224 is 6817320.

LCM(5220,5224) = 6817320

LCM of 5220 and 5224

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

LCM of:
and

Least Common Multiple of 5220 and 5224

LCM of 5220 and 5224 is 6817320

Least common multiple can be found by multiplying the highest exponent prime factors of 5220 and 5224. First we will calculate the prime factors of 5220 and 5224.

Prime Factorization of 5220


2 5220
2 2610
3 1305
3 435
5 145
29 29
1

Prime factors of 5220 are 2, 3, 5,29. Prime factorization of 5220 in exponential form is:

5220 = 22×32×51×291

Prime Factorization of 5224


2 5224
2 2612
2 1306
653 653
1

Prime factors of 5224 are 2,653. Prime factorization of 5224 in exponential form is:

5224 = 23×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 5220 and 5224.

LCM(5220,5224) = 23×32×51×291×6531
LCM(5220,5224) = 6817320

Factors of 5220

List of positive integer factors of 5220 that divides 5220 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 261, 290, 348, 435, 522, 580, 870, 1044, 1305, 1740, 2610, 5220

Factors of 5224

List of positive integer factors of 5224 that divides 5224 without a remainder.

1, 2, 4, 8, 653, 1306, 2612, 5224

Least Common Multiple of 5220 and 5224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5220 and 5224, than apply into the LCM equation.

GCF(5220,5224) = 4
LCM(5220,5224) = ( 5220 × 5224) / 4
LCM(5220,5224) = 27269280 / 4
LCM(5220,5224) = 6817320

Properties of LCM 5220 and 5224

(i) The LCM of 5224 and 5220 is associative

LCM of 5220 and 5224 = LCM of 5224 and 5220

Related Least Common Multiples of 5220

Related Least Common Multiples of 5224

Frequently Asked Questions on LCM of 5220 and 5224

1. What is the LCM of 5220 and 5224?

Answer: LCM of 5220 and 5224 is 6817320.

2. What are the Factors of 5220?

Answer: Factors of 5220 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 261, 290, 348, 435, 522, 580, 870, 1044, 1305, 1740, 2610, 5220. There are 36 integers that are factors of 5220. The greatest factor of 5220 is 5220.

3. What are the Factors of 5224?

Answer: Factors of 5224 are 1, 2, 4, 8, 653, 1306, 2612, 5224. There are 8 integers that are factors of 5224. The greatest factor of 5224 is 5224.

4. How to Find the LCM of 5220 and 5224?

Answer:

Least Common Multiple of 5220 and 5224 = 6817320

Step 1: Find the prime factorization of 5220

5220 = 2 x 2 x 3 x 3 x 5 x 29

Step 2: Find the prime factorization of 5224

5224 = 2 x 2 x 2 x 653

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

LCM = 6817320 = 2 x 2 x 2 x 3 x 3 x 5 x 29 x 653

Step 4: Therefore, the least common multiple of 5220 and 5224 is 6817320.