Least Common Multiple of 5220 and 5223

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 5223 the smallest integer that is 9088020 that is divisible by both numbers.

Least Common Multiple (LCM) of 5220 and 5223 is 9088020.

LCM(5220,5223) = 9088020

LCM of 5220 and 5223

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

LCM of:
and

Least Common Multiple of 5220 and 5223

LCM of 5220 and 5223 is 9088020

Least common multiple can be found by multiplying the highest exponent prime factors of 5220 and 5223. First we will calculate the prime factors of 5220 and 5223.

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 5223


3 5223
1741 1741
1

Prime factors of 5223 are 3,1741. Prime factorization of 5223 in exponential form is:

5223 = 31×17411

Now multiplying the highest exponent prime factors to calculate the LCM of 5220 and 5223.

LCM(5220,5223) = 22×32×51×291×17411
LCM(5220,5223) = 9088020

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 5223

List of positive integer factors of 5223 that divides 5223 without a remainder.

1, 3, 1741, 5223

Least Common Multiple of 5220 and 5223 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 5223, than apply into the LCM equation.

GCF(5220,5223) = 3
LCM(5220,5223) = ( 5220 × 5223) / 3
LCM(5220,5223) = 27264060 / 3
LCM(5220,5223) = 9088020

Properties of LCM 5220 and 5223

(i) The LCM of 5223 and 5220 is associative

LCM of 5220 and 5223 = LCM of 5223 and 5220

Related Least Common Multiples of 5220

Related Least Common Multiples of 5223

Frequently Asked Questions on LCM of 5220 and 5223

1. What is the LCM of 5220 and 5223?

Answer: LCM of 5220 and 5223 is 9088020.

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 5223?

Answer: Factors of 5223 are 1, 3, 1741, 5223. There are 4 integers that are factors of 5223. The greatest factor of 5223 is 5223.

4. How to Find the LCM of 5220 and 5223?

Answer:

Least Common Multiple of 5220 and 5223 = 9088020

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 5223

5223 = 3 x 1741

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

LCM = 9088020 = 2 x 2 x 3 x 3 x 5 x 29 x 1741

Step 4: Therefore, the least common multiple of 5220 and 5223 is 9088020.