Least Common Multiple of 4224 and 4230

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 4230 the smallest integer that is 2977920 that is divisible by both numbers.

Least Common Multiple (LCM) of 4224 and 4230 is 2977920.

LCM(4224,4230) = 2977920

LCM of 4224 and 4230

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

LCM of:
and

Least Common Multiple of 4224 and 4230

LCM of 4224 and 4230 is 2977920

Least common multiple can be found by multiplying the highest exponent prime factors of 4224 and 4230. First we will calculate the prime factors of 4224 and 4230.

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 4230


2 4230
3 2115
3 705
5 235
47 47
1

Prime factors of 4230 are 2, 3, 5,47. Prime factorization of 4230 in exponential form is:

4230 = 21×32×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4224 and 4230.

LCM(4224,4230) = 27×32×51×111×471
LCM(4224,4230) = 2977920

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 4230

List of positive integer factors of 4230 that divides 4230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230

Least Common Multiple of 4224 and 4230 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 4230, than apply into the LCM equation.

GCF(4224,4230) = 6
LCM(4224,4230) = ( 4224 × 4230) / 6
LCM(4224,4230) = 17867520 / 6
LCM(4224,4230) = 2977920

Properties of LCM 4224 and 4230

(i) The LCM of 4230 and 4224 is associative

LCM of 4224 and 4230 = LCM of 4230 and 4224

Related Least Common Multiples of 4224

Related Least Common Multiples of 4230

Frequently Asked Questions on LCM of 4224 and 4230

1. What is the LCM of 4224 and 4230?

Answer: LCM of 4224 and 4230 is 2977920.

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 4230?

Answer: Factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230. There are 24 integers that are factors of 4230. The greatest factor of 4230 is 4230.

4. How to Find the LCM of 4224 and 4230?

Answer:

Least Common Multiple of 4224 and 4230 = 2977920

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 4230

4230 = 2 x 3 x 3 x 5 x 47

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

LCM = 2977920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 47

Step 4: Therefore, the least common multiple of 4224 and 4230 is 2977920.