Least Common Multiple of 4221 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 4221 and 4224 the smallest integer that is 5943168 that is divisible by both numbers.

Least Common Multiple (LCM) of 4221 and 4224 is 5943168.

LCM(4221,4224) = 5943168

LCM of 4221 and 4224

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

LCM of:
and

Least Common Multiple of 4221 and 4224

LCM of 4221 and 4224 is 5943168

Least common multiple can be found by multiplying the highest exponent prime factors of 4221 and 4224. First we will calculate the prime factors of 4221 and 4224.

Prime Factorization of 4221


3 4221
3 1407
7 469
67 67
1

Prime factors of 4221 are 3, 7,67. Prime factorization of 4221 in exponential form is:

4221 = 32×71×671

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 4221 and 4224.

LCM(4221,4224) = 27×32×71×111×671
LCM(4221,4224) = 5943168

Factors of 4221

List of positive integer factors of 4221 that divides 4221 without a remainder.

1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221

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 4221 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 4221 and 4224, than apply into the LCM equation.

GCF(4221,4224) = 3
LCM(4221,4224) = ( 4221 × 4224) / 3
LCM(4221,4224) = 17829504 / 3
LCM(4221,4224) = 5943168

Properties of LCM 4221 and 4224

(i) The LCM of 4224 and 4221 is associative

LCM of 4221 and 4224 = LCM of 4224 and 4221

Related Least Common Multiples of 4221

Related Least Common Multiples of 4224

Frequently Asked Questions on LCM of 4221 and 4224

1. What is the LCM of 4221 and 4224?

Answer: LCM of 4221 and 4224 is 5943168.

2. What are the Factors of 4221?

Answer: Factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221. There are 12 integers that are factors of 4221. The greatest factor of 4221 is 4221.

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 4221 and 4224?

Answer:

Least Common Multiple of 4221 and 4224 = 5943168

Step 1: Find the prime factorization of 4221

4221 = 3 x 3 x 7 x 67

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 = 5943168 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 67

Step 4: Therefore, the least common multiple of 4221 and 4224 is 5943168.