Least Common Multiple of 5218 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 5218 and 5224 the smallest integer that is 13629416 that is divisible by both numbers.

Least Common Multiple (LCM) of 5218 and 5224 is 13629416.

LCM(5218,5224) = 13629416

LCM of 5218 and 5224

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

LCM of:
and

Least Common Multiple of 5218 and 5224

LCM of 5218 and 5224 is 13629416

Least common multiple can be found by multiplying the highest exponent prime factors of 5218 and 5224. First we will calculate the prime factors of 5218 and 5224.

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 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 5218 and 5224.

LCM(5218,5224) = 23×6531×26091
LCM(5218,5224) = 13629416

Factors of 5218

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

1, 2, 2609, 5218

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 5218 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 5218 and 5224, than apply into the LCM equation.

GCF(5218,5224) = 2
LCM(5218,5224) = ( 5218 × 5224) / 2
LCM(5218,5224) = 27258832 / 2
LCM(5218,5224) = 13629416

Properties of LCM 5218 and 5224

(i) The LCM of 5224 and 5218 is associative

LCM of 5218 and 5224 = LCM of 5224 and 5218

Related Least Common Multiples of 5218

Related Least Common Multiples of 5224

Frequently Asked Questions on LCM of 5218 and 5224

1. What is the LCM of 5218 and 5224?

Answer: LCM of 5218 and 5224 is 13629416.

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 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 5218 and 5224?

Answer:

Least Common Multiple of 5218 and 5224 = 13629416

Step 1: Find the prime factorization of 5218

5218 = 2 x 2609

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 = 13629416 = 2 x 2 x 2 x 653 x 2609

Step 4: Therefore, the least common multiple of 5218 and 5224 is 13629416.