Least Common Multiple of 7218 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 7218 and 7224 the smallest integer that is 8690472 that is divisible by both numbers.

Least Common Multiple (LCM) of 7218 and 7224 is 8690472.

LCM(7218,7224) = 8690472

LCM of 7218 and 7224

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

LCM of:
and

Least Common Multiple of 7218 and 7224

LCM of 7218 and 7224 is 8690472

Least common multiple can be found by multiplying the highest exponent prime factors of 7218 and 7224. First we will calculate the prime factors of 7218 and 7224.

Prime Factorization of 7218


2 7218
3 3609
3 1203
401 401
1

Prime factors of 7218 are 2, 3,401. Prime factorization of 7218 in exponential form is:

7218 = 21×32×4011

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 7218 and 7224.

LCM(7218,7224) = 23×32×71×431×4011
LCM(7218,7224) = 8690472

Factors of 7218

List of positive integer factors of 7218 that divides 7218 without a remainder.

1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218

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 7218 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 7218 and 7224, than apply into the LCM equation.

GCF(7218,7224) = 6
LCM(7218,7224) = ( 7218 × 7224) / 6
LCM(7218,7224) = 52142832 / 6
LCM(7218,7224) = 8690472

Properties of LCM 7218 and 7224

(i) The LCM of 7224 and 7218 is associative

LCM of 7218 and 7224 = LCM of 7224 and 7218

Related Least Common Multiples of 7218

Related Least Common Multiples of 7224

Frequently Asked Questions on LCM of 7218 and 7224

1. What is the LCM of 7218 and 7224?

Answer: LCM of 7218 and 7224 is 8690472.

2. What are the Factors of 7218?

Answer: Factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218. There are 12 integers that are factors of 7218. The greatest factor of 7218 is 7218.

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 7218 and 7224?

Answer:

Least Common Multiple of 7218 and 7224 = 8690472

Step 1: Find the prime factorization of 7218

7218 = 2 x 3 x 3 x 401

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 = 8690472 = 2 x 2 x 2 x 3 x 3 x 7 x 43 x 401

Step 4: Therefore, the least common multiple of 7218 and 7224 is 8690472.