Least Common Multiple of 7216 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 7216 and 7224 the smallest integer that is 6516048 that is divisible by both numbers.

Least Common Multiple (LCM) of 7216 and 7224 is 6516048.

LCM(7216,7224) = 6516048

LCM of 7216 and 7224

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

LCM of:
and

Least Common Multiple of 7216 and 7224

LCM of 7216 and 7224 is 6516048

Least common multiple can be found by multiplying the highest exponent prime factors of 7216 and 7224. First we will calculate the prime factors of 7216 and 7224.

Prime Factorization of 7216


2 7216
2 3608
2 1804
2 902
11 451
41 41
1

Prime factors of 7216 are 2, 11,41. Prime factorization of 7216 in exponential form is:

7216 = 24×111×411

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 7216 and 7224.

LCM(7216,7224) = 24×31×71×111×411×431
LCM(7216,7224) = 6516048

Factors of 7216

List of positive integer factors of 7216 that divides 7216 without a remainder.

1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216

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 7216 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 7216 and 7224, than apply into the LCM equation.

GCF(7216,7224) = 8
LCM(7216,7224) = ( 7216 × 7224) / 8
LCM(7216,7224) = 52128384 / 8
LCM(7216,7224) = 6516048

Properties of LCM 7216 and 7224

(i) The LCM of 7224 and 7216 is associative

LCM of 7216 and 7224 = LCM of 7224 and 7216

Related Least Common Multiples of 7216

Related Least Common Multiples of 7224

Frequently Asked Questions on LCM of 7216 and 7224

1. What is the LCM of 7216 and 7224?

Answer: LCM of 7216 and 7224 is 6516048.

2. What are the Factors of 7216?

Answer: Factors of 7216 are 1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216. There are 20 integers that are factors of 7216. The greatest factor of 7216 is 7216.

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 7216 and 7224?

Answer:

Least Common Multiple of 7216 and 7224 = 6516048

Step 1: Find the prime factorization of 7216

7216 = 2 x 2 x 2 x 2 x 11 x 41

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 = 6516048 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 41 x 43

Step 4: Therefore, the least common multiple of 7216 and 7224 is 6516048.