Least Common Multiple of 2224 and 2230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2224 and 2230 the smallest integer that is 2479760 that is divisible by both numbers.

Least Common Multiple (LCM) of 2224 and 2230 is 2479760.

LCM(2224,2230) = 2479760

LCM of 2224 and 2230

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

LCM of:
and

Least Common Multiple of 2224 and 2230

LCM of 2224 and 2230 is 2479760

Least common multiple can be found by multiplying the highest exponent prime factors of 2224 and 2230. First we will calculate the prime factors of 2224 and 2230.

Prime Factorization of 2224


2 2224
2 1112
2 556
2 278
139 139
1

Prime factors of 2224 are 2,139. Prime factorization of 2224 in exponential form is:

2224 = 24×1391

Prime Factorization of 2230


2 2230
5 1115
223 223
1

Prime factors of 2230 are 2, 5,223. Prime factorization of 2230 in exponential form is:

2230 = 21×51×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 2224 and 2230.

LCM(2224,2230) = 24×51×1391×2231
LCM(2224,2230) = 2479760

Factors of 2224

List of positive integer factors of 2224 that divides 2224 without a remainder.

1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224

Factors of 2230

List of positive integer factors of 2230 that divides 2230 without a remainder.

1, 2, 5, 10, 223, 446, 1115, 2230

Least Common Multiple of 2224 and 2230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2224 and 2230, than apply into the LCM equation.

GCF(2224,2230) = 2
LCM(2224,2230) = ( 2224 × 2230) / 2
LCM(2224,2230) = 4959520 / 2
LCM(2224,2230) = 2479760

Properties of LCM 2224 and 2230

(i) The LCM of 2230 and 2224 is associative

LCM of 2224 and 2230 = LCM of 2230 and 2224

Related Least Common Multiples of 2224

Related Least Common Multiples of 2230

Frequently Asked Questions on LCM of 2224 and 2230

1. What is the LCM of 2224 and 2230?

Answer: LCM of 2224 and 2230 is 2479760.

2. What are the Factors of 2224?

Answer: Factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224. There are 10 integers that are factors of 2224. The greatest factor of 2224 is 2224.

3. What are the Factors of 2230?

Answer: Factors of 2230 are 1, 2, 5, 10, 223, 446, 1115, 2230. There are 8 integers that are factors of 2230. The greatest factor of 2230 is 2230.

4. How to Find the LCM of 2224 and 2230?

Answer:

Least Common Multiple of 2224 and 2230 = 2479760

Step 1: Find the prime factorization of 2224

2224 = 2 x 2 x 2 x 2 x 139

Step 2: Find the prime factorization of 2230

2230 = 2 x 5 x 223

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

LCM = 2479760 = 2 x 2 x 2 x 2 x 5 x 139 x 223

Step 4: Therefore, the least common multiple of 2224 and 2230 is 2479760.