Least Common Multiple of 2224 and 2228

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 2228 the smallest integer that is 1238768 that is divisible by both numbers.

Least Common Multiple (LCM) of 2224 and 2228 is 1238768.

LCM(2224,2228) = 1238768

LCM of 2224 and 2228

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

LCM of:
and

Least Common Multiple of 2224 and 2228

LCM of 2224 and 2228 is 1238768

Least common multiple can be found by multiplying the highest exponent prime factors of 2224 and 2228. First we will calculate the prime factors of 2224 and 2228.

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 2228


2 2228
2 1114
557 557
1

Prime factors of 2228 are 2,557. Prime factorization of 2228 in exponential form is:

2228 = 22×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 2224 and 2228.

LCM(2224,2228) = 24×1391×5571
LCM(2224,2228) = 1238768

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 2228

List of positive integer factors of 2228 that divides 2228 without a remainder.

1, 2, 4, 557, 1114, 2228

Least Common Multiple of 2224 and 2228 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 2228, than apply into the LCM equation.

GCF(2224,2228) = 4
LCM(2224,2228) = ( 2224 × 2228) / 4
LCM(2224,2228) = 4955072 / 4
LCM(2224,2228) = 1238768

Properties of LCM 2224 and 2228

(i) The LCM of 2228 and 2224 is associative

LCM of 2224 and 2228 = LCM of 2228 and 2224

Related Least Common Multiples of 2224

Related Least Common Multiples of 2228

Frequently Asked Questions on LCM of 2224 and 2228

1. What is the LCM of 2224 and 2228?

Answer: LCM of 2224 and 2228 is 1238768.

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 2228?

Answer: Factors of 2228 are 1, 2, 4, 557, 1114, 2228. There are 6 integers that are factors of 2228. The greatest factor of 2228 is 2228.

4. How to Find the LCM of 2224 and 2228?

Answer:

Least Common Multiple of 2224 and 2228 = 1238768

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 2228

2228 = 2 x 2 x 557

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

LCM = 1238768 = 2 x 2 x 2 x 2 x 139 x 557

Step 4: Therefore, the least common multiple of 2224 and 2228 is 1238768.