Least Common Multiple of 4224 and 4229

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 4229 the smallest integer that is 17863296 that is divisible by both numbers.

Least Common Multiple (LCM) of 4224 and 4229 is 17863296.

LCM(4224,4229) = 17863296

LCM of 4224 and 4229

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

LCM of:
and

Least Common Multiple of 4224 and 4229

LCM of 4224 and 4229 is 17863296

Least common multiple can be found by multiplying the highest exponent prime factors of 4224 and 4229. First we will calculate the prime factors of 4224 and 4229.

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 4229


4229 4229
1

Prime factors of 4229 are 4229. Prime factorization of 4229 in exponential form is:

4229 = 42291

Now multiplying the highest exponent prime factors to calculate the LCM of 4224 and 4229.

LCM(4224,4229) = 27×31×111×42291
LCM(4224,4229) = 17863296

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 4229

List of positive integer factors of 4229 that divides 4229 without a remainder.

1, 4229

Least Common Multiple of 4224 and 4229 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 4229, than apply into the LCM equation.

GCF(4224,4229) = 1
LCM(4224,4229) = ( 4224 × 4229) / 1
LCM(4224,4229) = 17863296 / 1
LCM(4224,4229) = 17863296

Properties of LCM 4224 and 4229

(i) The LCM of 4229 and 4224 is associative

LCM of 4224 and 4229 = LCM of 4229 and 4224

Related Least Common Multiples of 4224

Related Least Common Multiples of 4229

Frequently Asked Questions on LCM of 4224 and 4229

1. What is the LCM of 4224 and 4229?

Answer: LCM of 4224 and 4229 is 17863296.

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 4229?

Answer: Factors of 4229 are 1, 4229. There are 2 integers that are factors of 4229. The greatest factor of 4229 is 4229.

4. How to Find the LCM of 4224 and 4229?

Answer:

Least Common Multiple of 4224 and 4229 = 17863296

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 4229

4229 = 4229

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

LCM = 17863296 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 4229

Step 4: Therefore, the least common multiple of 4224 and 4229 is 17863296.