Least Common Multiple of 5217 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 5217 and 5222 the smallest integer that is 27243174 that is divisible by both numbers.

Least Common Multiple (LCM) of 5217 and 5222 is 27243174.

LCM(5217,5222) = 27243174

LCM of 5217 and 5222

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

LCM of:
and

Least Common Multiple of 5217 and 5222

LCM of 5217 and 5222 is 27243174

Least common multiple can be found by multiplying the highest exponent prime factors of 5217 and 5222. First we will calculate the prime factors of 5217 and 5222.

Prime Factorization of 5217


3 5217
37 1739
47 47
1

Prime factors of 5217 are 3, 37,47. Prime factorization of 5217 in exponential form is:

5217 = 31×371×471

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 5217 and 5222.

LCM(5217,5222) = 21×31×71×371×471×3731
LCM(5217,5222) = 27243174

Factors of 5217

List of positive integer factors of 5217 that divides 5217 without a remainder.

1, 3, 37, 47, 111, 141, 1739, 5217

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 5217 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 5217 and 5222, than apply into the LCM equation.

GCF(5217,5222) = 1
LCM(5217,5222) = ( 5217 × 5222) / 1
LCM(5217,5222) = 27243174 / 1
LCM(5217,5222) = 27243174

Properties of LCM 5217 and 5222

(i) The LCM of 5222 and 5217 is associative

LCM of 5217 and 5222 = LCM of 5222 and 5217

Related Least Common Multiples of 5217

Related Least Common Multiples of 5222

Frequently Asked Questions on LCM of 5217 and 5222

1. What is the LCM of 5217 and 5222?

Answer: LCM of 5217 and 5222 is 27243174.

2. What are the Factors of 5217?

Answer: Factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217. There are 8 integers that are factors of 5217. The greatest factor of 5217 is 5217.

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 5217 and 5222?

Answer:

Least Common Multiple of 5217 and 5222 = 27243174

Step 1: Find the prime factorization of 5217

5217 = 3 x 37 x 47

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 = 27243174 = 2 x 3 x 7 x 37 x 47 x 373

Step 4: Therefore, the least common multiple of 5217 and 5222 is 27243174.