Least Common Multiple of 4224 and 4228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4224 and 4228 the smallest integer that is 4464768 that is divisible by both numbers.

Least Common Multiple (LCM) of 4224 and 4228 is 4464768.

LCM(4224,4228) = 4464768

LCM of 4224 and 4228

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

LCM of:
and

Least Common Multiple of 4224 and 4228

LCM of 4224 and 4228 is 4464768

Least common multiple can be found by multiplying the highest exponent prime factors of 4224 and 4228. First we will calculate the prime factors of 4224 and 4228.

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

Prime Factorization of 4228


2 4228
2 2114
7 1057
151 151
1

Prime factors of 4228 are 2, 7,151. Prime factorization of 4228 in exponential form is:

4228 = 22×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4224 and 4228.

LCM(4224,4228) = 27×31×71×111×1511
LCM(4224,4228) = 4464768

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

Factors of 4228

List of positive integer factors of 4228 that divides 4228 without a remainder.

1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228

Least Common Multiple of 4224 and 4228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4224 and 4228, than apply into the LCM equation.

GCF(4224,4228) = 4
LCM(4224,4228) = ( 4224 × 4228) / 4
LCM(4224,4228) = 17859072 / 4
LCM(4224,4228) = 4464768

Properties of LCM 4224 and 4228

(i) The LCM of 4228 and 4224 is associative

LCM of 4224 and 4228 = LCM of 4228 and 4224

Related Least Common Multiples of 4224

Related Least Common Multiples of 4228

Frequently Asked Questions on LCM of 4224 and 4228

1. What is the LCM of 4224 and 4228?

Answer: LCM of 4224 and 4228 is 4464768.

2. 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.

3. What are the Factors of 4228?

Answer: Factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228. There are 12 integers that are factors of 4228. The greatest factor of 4228 is 4228.

4. How to Find the LCM of 4224 and 4228?

Answer:

Least Common Multiple of 4224 and 4228 = 4464768

Step 1: 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 2: Find the prime factorization of 4228

4228 = 2 x 2 x 7 x 151

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

LCM = 4464768 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 151

Step 4: Therefore, the least common multiple of 4224 and 4228 is 4464768.