Least Common Multiple of 5218 and 5226

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 5226 the smallest integer that is 13634634 that is divisible by both numbers.

Least Common Multiple (LCM) of 5218 and 5226 is 13634634.

LCM(5218,5226) = 13634634

LCM of 5218 and 5226

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

LCM of:
and

Least Common Multiple of 5218 and 5226

LCM of 5218 and 5226 is 13634634

Least common multiple can be found by multiplying the highest exponent prime factors of 5218 and 5226. First we will calculate the prime factors of 5218 and 5226.

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 5226


2 5226
3 2613
13 871
67 67
1

Prime factors of 5226 are 2, 3, 13,67. Prime factorization of 5226 in exponential form is:

5226 = 21×31×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5218 and 5226.

LCM(5218,5226) = 21×31×131×671×26091
LCM(5218,5226) = 13634634

Factors of 5218

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

1, 2, 2609, 5218

Factors of 5226

List of positive integer factors of 5226 that divides 5226 without a remainder.

1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226

Least Common Multiple of 5218 and 5226 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 5226, than apply into the LCM equation.

GCF(5218,5226) = 2
LCM(5218,5226) = ( 5218 × 5226) / 2
LCM(5218,5226) = 27269268 / 2
LCM(5218,5226) = 13634634

Properties of LCM 5218 and 5226

(i) The LCM of 5226 and 5218 is associative

LCM of 5218 and 5226 = LCM of 5226 and 5218

Related Least Common Multiples of 5218

Related Least Common Multiples of 5226

Frequently Asked Questions on LCM of 5218 and 5226

1. What is the LCM of 5218 and 5226?

Answer: LCM of 5218 and 5226 is 13634634.

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 5226?

Answer: Factors of 5226 are 1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226. There are 16 integers that are factors of 5226. The greatest factor of 5226 is 5226.

4. How to Find the LCM of 5218 and 5226?

Answer:

Least Common Multiple of 5218 and 5226 = 13634634

Step 1: Find the prime factorization of 5218

5218 = 2 x 2609

Step 2: Find the prime factorization of 5226

5226 = 2 x 3 x 13 x 67

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

LCM = 13634634 = 2 x 3 x 13 x 67 x 2609

Step 4: Therefore, the least common multiple of 5218 and 5226 is 13634634.