Least Common Multiple of 5218 and 5222

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 5222 the smallest integer that is 13624198 that is divisible by both numbers.

Least Common Multiple (LCM) of 5218 and 5222 is 13624198.

LCM(5218,5222) = 13624198

LCM of 5218 and 5222

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

LCM of:
and

Least Common Multiple of 5218 and 5222

LCM of 5218 and 5222 is 13624198

Least common multiple can be found by multiplying the highest exponent prime factors of 5218 and 5222. First we will calculate the prime factors of 5218 and 5222.

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 5222


2 5222
7 2611
373 373
1

Prime factors of 5222 are 2, 7,373. Prime factorization of 5222 in exponential form is:

5222 = 21×71×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 5218 and 5222.

LCM(5218,5222) = 21×71×3731×26091
LCM(5218,5222) = 13624198

Factors of 5218

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

1, 2, 2609, 5218

Factors of 5222

List of positive integer factors of 5222 that divides 5222 without a remainder.

1, 2, 7, 14, 373, 746, 2611, 5222

Least Common Multiple of 5218 and 5222 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 5222, than apply into the LCM equation.

GCF(5218,5222) = 2
LCM(5218,5222) = ( 5218 × 5222) / 2
LCM(5218,5222) = 27248396 / 2
LCM(5218,5222) = 13624198

Properties of LCM 5218 and 5222

(i) The LCM of 5222 and 5218 is associative

LCM of 5218 and 5222 = LCM of 5222 and 5218

Related Least Common Multiples of 5218

Related Least Common Multiples of 5222

Frequently Asked Questions on LCM of 5218 and 5222

1. What is the LCM of 5218 and 5222?

Answer: LCM of 5218 and 5222 is 13624198.

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 5222?

Answer: Factors of 5222 are 1, 2, 7, 14, 373, 746, 2611, 5222. There are 8 integers that are factors of 5222. The greatest factor of 5222 is 5222.

4. How to Find the LCM of 5218 and 5222?

Answer:

Least Common Multiple of 5218 and 5222 = 13624198

Step 1: Find the prime factorization of 5218

5218 = 2 x 2609

Step 2: Find the prime factorization of 5222

5222 = 2 x 7 x 373

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

LCM = 13624198 = 2 x 7 x 373 x 2609

Step 4: Therefore, the least common multiple of 5218 and 5222 is 13624198.