Least Common Multiple of 2240 and 2248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2240 and 2248 the smallest integer that is 629440 that is divisible by both numbers.

Least Common Multiple (LCM) of 2240 and 2248 is 629440.

LCM(2240,2248) = 629440

LCM of 2240 and 2248

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

LCM of:
and

Least Common Multiple of 2240 and 2248

LCM of 2240 and 2248 is 629440

Least common multiple can be found by multiplying the highest exponent prime factors of 2240 and 2248. First we will calculate the prime factors of 2240 and 2248.

Prime Factorization of 2240


2 2240
2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 2240 are 2, 5,7. Prime factorization of 2240 in exponential form is:

2240 = 26×51×71

Prime Factorization of 2248


2 2248
2 1124
2 562
281 281
1

Prime factors of 2248 are 2,281. Prime factorization of 2248 in exponential form is:

2248 = 23×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 2240 and 2248.

LCM(2240,2248) = 26×51×71×2811
LCM(2240,2248) = 629440

Factors of 2240

List of positive integer factors of 2240 that divides 2240 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240

Factors of 2248

List of positive integer factors of 2248 that divides 2248 without a remainder.

1, 2, 4, 8, 281, 562, 1124, 2248

Least Common Multiple of 2240 and 2248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2240 and 2248, than apply into the LCM equation.

GCF(2240,2248) = 8
LCM(2240,2248) = ( 2240 × 2248) / 8
LCM(2240,2248) = 5035520 / 8
LCM(2240,2248) = 629440

Properties of LCM 2240 and 2248

(i) The LCM of 2248 and 2240 is associative

LCM of 2240 and 2248 = LCM of 2248 and 2240

Related Least Common Multiples of 2240

Related Least Common Multiples of 2248

Frequently Asked Questions on LCM of 2240 and 2248

1. What is the LCM of 2240 and 2248?

Answer: LCM of 2240 and 2248 is 629440.

2. What are the Factors of 2240?

Answer: Factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240. There are 28 integers that are factors of 2240. The greatest factor of 2240 is 2240.

3. What are the Factors of 2248?

Answer: Factors of 2248 are 1, 2, 4, 8, 281, 562, 1124, 2248. There are 8 integers that are factors of 2248. The greatest factor of 2248 is 2248.

4. How to Find the LCM of 2240 and 2248?

Answer:

Least Common Multiple of 2240 and 2248 = 629440

Step 1: Find the prime factorization of 2240

2240 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 2248

2248 = 2 x 2 x 2 x 281

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

LCM = 629440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 281

Step 4: Therefore, the least common multiple of 2240 and 2248 is 629440.