Least Common Multiple of 7217 and 7224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7217 and 7224 the smallest integer that is 7447944 that is divisible by both numbers.

Least Common Multiple (LCM) of 7217 and 7224 is 7447944.

LCM(7217,7224) = 7447944

LCM of 7217 and 7224

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

LCM of:
and

Least Common Multiple of 7217 and 7224

LCM of 7217 and 7224 is 7447944

Least common multiple can be found by multiplying the highest exponent prime factors of 7217 and 7224. First we will calculate the prime factors of 7217 and 7224.

Prime Factorization of 7217


7 7217
1031 1031
1

Prime factors of 7217 are 7,1031. Prime factorization of 7217 in exponential form is:

7217 = 71×10311

Prime Factorization of 7224


2 7224
2 3612
2 1806
3 903
7 301
43 43
1

Prime factors of 7224 are 2, 3, 7,43. Prime factorization of 7224 in exponential form is:

7224 = 23×31×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7217 and 7224.

LCM(7217,7224) = 23×31×71×431×10311
LCM(7217,7224) = 7447944

Factors of 7217

List of positive integer factors of 7217 that divides 7217 without a remainder.

1, 7, 1031, 7217

Factors of 7224

List of positive integer factors of 7224 that divides 7224 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 56, 84, 86, 129, 168, 172, 258, 301, 344, 516, 602, 903, 1032, 1204, 1806, 2408, 3612, 7224

Least Common Multiple of 7217 and 7224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7217 and 7224, than apply into the LCM equation.

GCF(7217,7224) = 7
LCM(7217,7224) = ( 7217 × 7224) / 7
LCM(7217,7224) = 52135608 / 7
LCM(7217,7224) = 7447944

Properties of LCM 7217 and 7224

(i) The LCM of 7224 and 7217 is associative

LCM of 7217 and 7224 = LCM of 7224 and 7217

Related Least Common Multiples of 7217

Related Least Common Multiples of 7224

Frequently Asked Questions on LCM of 7217 and 7224

1. What is the LCM of 7217 and 7224?

Answer: LCM of 7217 and 7224 is 7447944.

2. What are the Factors of 7217?

Answer: Factors of 7217 are 1, 7, 1031, 7217. There are 4 integers that are factors of 7217. The greatest factor of 7217 is 7217.

3. What are the Factors of 7224?

Answer: Factors of 7224 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 56, 84, 86, 129, 168, 172, 258, 301, 344, 516, 602, 903, 1032, 1204, 1806, 2408, 3612, 7224. There are 32 integers that are factors of 7224. The greatest factor of 7224 is 7224.

4. How to Find the LCM of 7217 and 7224?

Answer:

Least Common Multiple of 7217 and 7224 = 7447944

Step 1: Find the prime factorization of 7217

7217 = 7 x 1031

Step 2: Find the prime factorization of 7224

7224 = 2 x 2 x 2 x 3 x 7 x 43

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

LCM = 7447944 = 2 x 2 x 2 x 3 x 7 x 43 x 1031

Step 4: Therefore, the least common multiple of 7217 and 7224 is 7447944.