Least Common Multiple of 5217 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 5217 and 5224 the smallest integer that is 27253608 that is divisible by both numbers.

Least Common Multiple (LCM) of 5217 and 5224 is 27253608.

LCM(5217,5224) = 27253608

LCM of 5217 and 5224

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

LCM of:
and

Least Common Multiple of 5217 and 5224

LCM of 5217 and 5224 is 27253608

Least common multiple can be found by multiplying the highest exponent prime factors of 5217 and 5224. First we will calculate the prime factors of 5217 and 5224.

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 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 5217 and 5224.

LCM(5217,5224) = 23×31×371×471×6531
LCM(5217,5224) = 27253608

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 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 5217 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 5217 and 5224, than apply into the LCM equation.

GCF(5217,5224) = 1
LCM(5217,5224) = ( 5217 × 5224) / 1
LCM(5217,5224) = 27253608 / 1
LCM(5217,5224) = 27253608

Properties of LCM 5217 and 5224

(i) The LCM of 5224 and 5217 is associative

LCM of 5217 and 5224 = LCM of 5224 and 5217

Related Least Common Multiples of 5217

Related Least Common Multiples of 5224

Frequently Asked Questions on LCM of 5217 and 5224

1. What is the LCM of 5217 and 5224?

Answer: LCM of 5217 and 5224 is 27253608.

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 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 5217 and 5224?

Answer:

Least Common Multiple of 5217 and 5224 = 27253608

Step 1: Find the prime factorization of 5217

5217 = 3 x 37 x 47

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 = 27253608 = 2 x 2 x 2 x 3 x 37 x 47 x 653

Step 4: Therefore, the least common multiple of 5217 and 5224 is 27253608.