Least Common Multiple of 2240 and 2244

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 2244 the smallest integer that is 1256640 that is divisible by both numbers.

Least Common Multiple (LCM) of 2240 and 2244 is 1256640.

LCM(2240,2244) = 1256640

LCM of 2240 and 2244

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

LCM of:
and

Least Common Multiple of 2240 and 2244

LCM of 2240 and 2244 is 1256640

Least common multiple can be found by multiplying the highest exponent prime factors of 2240 and 2244. First we will calculate the prime factors of 2240 and 2244.

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 2244


2 2244
2 1122
3 561
11 187
17 17
1

Prime factors of 2244 are 2, 3, 11,17. Prime factorization of 2244 in exponential form is:

2244 = 22×31×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2240 and 2244.

LCM(2240,2244) = 26×31×51×71×111×171
LCM(2240,2244) = 1256640

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 2244

List of positive integer factors of 2244 that divides 2244 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244

Least Common Multiple of 2240 and 2244 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 2244, than apply into the LCM equation.

GCF(2240,2244) = 4
LCM(2240,2244) = ( 2240 × 2244) / 4
LCM(2240,2244) = 5026560 / 4
LCM(2240,2244) = 1256640

Properties of LCM 2240 and 2244

(i) The LCM of 2244 and 2240 is associative

LCM of 2240 and 2244 = LCM of 2244 and 2240

Related Least Common Multiples of 2240

Related Least Common Multiples of 2244

Frequently Asked Questions on LCM of 2240 and 2244

1. What is the LCM of 2240 and 2244?

Answer: LCM of 2240 and 2244 is 1256640.

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 2244?

Answer: Factors of 2244 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244. There are 24 integers that are factors of 2244. The greatest factor of 2244 is 2244.

4. How to Find the LCM of 2240 and 2244?

Answer:

Least Common Multiple of 2240 and 2244 = 1256640

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 2244

2244 = 2 x 2 x 3 x 11 x 17

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

LCM = 1256640 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 2240 and 2244 is 1256640.