Least Common Multiple of 5218 and 5220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5218 and 5220 the smallest integer that is 13618980 that is divisible by both numbers.

Least Common Multiple (LCM) of 5218 and 5220 is 13618980.

LCM(5218,5220) = 13618980

LCM of 5218 and 5220

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

LCM of:
and

Least Common Multiple of 5218 and 5220

LCM of 5218 and 5220 is 13618980

Least common multiple can be found by multiplying the highest exponent prime factors of 5218 and 5220. First we will calculate the prime factors of 5218 and 5220.

Prime Factorization of 5218


2 5218
2609 2609
1

Prime factors of 5218 are 2,2609. Prime factorization of 5218 in exponential form is:

5218 = 21×26091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5218 and 5220.

LCM(5218,5220) = 22×32×51×291×26091
LCM(5218,5220) = 13618980

Factors of 5218

List of positive integer factors of 5218 that divides 5218 without a remainder.

1, 2, 2609, 5218

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

Least Common Multiple of 5218 and 5220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5218 and 5220, than apply into the LCM equation.

GCF(5218,5220) = 2
LCM(5218,5220) = ( 5218 × 5220) / 2
LCM(5218,5220) = 27237960 / 2
LCM(5218,5220) = 13618980

Properties of LCM 5218 and 5220

(i) The LCM of 5220 and 5218 is associative

LCM of 5218 and 5220 = LCM of 5220 and 5218

Related Least Common Multiples of 5218

Related Least Common Multiples of 5220

Frequently Asked Questions on LCM of 5218 and 5220

1. What is the LCM of 5218 and 5220?

Answer: LCM of 5218 and 5220 is 13618980.

2. What are the Factors of 5218?

Answer: Factors of 5218 are 1, 2, 2609, 5218. There are 4 integers that are factors of 5218. The greatest factor of 5218 is 5218.

3. 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.

4. How to Find the LCM of 5218 and 5220?

Answer:

Least Common Multiple of 5218 and 5220 = 13618980

Step 1: Find the prime factorization of 5218

5218 = 2 x 2609

Step 2: Find the prime factorization of 5220

5220 = 2 x 2 x 3 x 3 x 5 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 = 13618980 = 2 x 2 x 3 x 3 x 5 x 29 x 2609

Step 4: Therefore, the least common multiple of 5218 and 5220 is 13618980.