Least Common Multiple of 4216 and 4224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4216 and 4224 the smallest integer that is 2226048 that is divisible by both numbers.

Least Common Multiple (LCM) of 4216 and 4224 is 2226048.

LCM(4216,4224) = 2226048

LCM of 4216 and 4224

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

LCM of:
and

Least Common Multiple of 4216 and 4224

LCM of 4216 and 4224 is 2226048

Least common multiple can be found by multiplying the highest exponent prime factors of 4216 and 4224. First we will calculate the prime factors of 4216 and 4224.

Prime Factorization of 4216


2 4216
2 2108
2 1054
17 527
31 31
1

Prime factors of 4216 are 2, 17,31. Prime factorization of 4216 in exponential form is:

4216 = 23×171×311

Prime Factorization of 4224


2 4224
2 2112
2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 4224 are 2, 3,11. Prime factorization of 4224 in exponential form is:

4224 = 27×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4216 and 4224.

LCM(4216,4224) = 27×31×111×171×311
LCM(4216,4224) = 2226048

Factors of 4216

List of positive integer factors of 4216 that divides 4216 without a remainder.

1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216

Factors of 4224

List of positive integer factors of 4224 that divides 4224 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224

Least Common Multiple of 4216 and 4224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4216 and 4224, than apply into the LCM equation.

GCF(4216,4224) = 8
LCM(4216,4224) = ( 4216 × 4224) / 8
LCM(4216,4224) = 17808384 / 8
LCM(4216,4224) = 2226048

Properties of LCM 4216 and 4224

(i) The LCM of 4224 and 4216 is associative

LCM of 4216 and 4224 = LCM of 4224 and 4216

Related Least Common Multiples of 4216

Related Least Common Multiples of 4224

Frequently Asked Questions on LCM of 4216 and 4224

1. What is the LCM of 4216 and 4224?

Answer: LCM of 4216 and 4224 is 2226048.

2. What are the Factors of 4216?

Answer: Factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216. There are 16 integers that are factors of 4216. The greatest factor of 4216 is 4216.

3. What are the Factors of 4224?

Answer: Factors of 4224 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224. There are 32 integers that are factors of 4224. The greatest factor of 4224 is 4224.

4. How to Find the LCM of 4216 and 4224?

Answer:

Least Common Multiple of 4216 and 4224 = 2226048

Step 1: Find the prime factorization of 4216

4216 = 2 x 2 x 2 x 17 x 31

Step 2: Find the prime factorization of 4224

4224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11

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

LCM = 2226048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 4216 and 4224 is 2226048.