Least Common Multiple of 2224 and 2231

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 2231 the smallest integer that is 4961744 that is divisible by both numbers.

Least Common Multiple (LCM) of 2224 and 2231 is 4961744.

LCM(2224,2231) = 4961744

LCM of 2224 and 2231

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

LCM of:
and

Least Common Multiple of 2224 and 2231

LCM of 2224 and 2231 is 4961744

Least common multiple can be found by multiplying the highest exponent prime factors of 2224 and 2231. First we will calculate the prime factors of 2224 and 2231.

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 2231


23 2231
97 97
1

Prime factors of 2231 are 23,97. Prime factorization of 2231 in exponential form is:

2231 = 231×971

Now multiplying the highest exponent prime factors to calculate the LCM of 2224 and 2231.

LCM(2224,2231) = 24×231×971×1391
LCM(2224,2231) = 4961744

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 2231

List of positive integer factors of 2231 that divides 2231 without a remainder.

1, 23, 97, 2231

Least Common Multiple of 2224 and 2231 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 2231, than apply into the LCM equation.

GCF(2224,2231) = 1
LCM(2224,2231) = ( 2224 × 2231) / 1
LCM(2224,2231) = 4961744 / 1
LCM(2224,2231) = 4961744

Properties of LCM 2224 and 2231

(i) The LCM of 2231 and 2224 is associative

LCM of 2224 and 2231 = LCM of 2231 and 2224

Related Least Common Multiples of 2224

Related Least Common Multiples of 2231

Frequently Asked Questions on LCM of 2224 and 2231

1. What is the LCM of 2224 and 2231?

Answer: LCM of 2224 and 2231 is 4961744.

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 2231?

Answer: Factors of 2231 are 1, 23, 97, 2231. There are 4 integers that are factors of 2231. The greatest factor of 2231 is 2231.

4. How to Find the LCM of 2224 and 2231?

Answer:

Least Common Multiple of 2224 and 2231 = 4961744

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 2231

2231 = 23 x 97

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

LCM = 4961744 = 2 x 2 x 2 x 2 x 23 x 97 x 139

Step 4: Therefore, the least common multiple of 2224 and 2231 is 4961744.