Least Common Multiple of 2240 and 2245

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 2245 the smallest integer that is 1005760 that is divisible by both numbers.

Least Common Multiple (LCM) of 2240 and 2245 is 1005760.

LCM(2240,2245) = 1005760

LCM of 2240 and 2245

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

LCM of:
and

Least Common Multiple of 2240 and 2245

LCM of 2240 and 2245 is 1005760

Least common multiple can be found by multiplying the highest exponent prime factors of 2240 and 2245. First we will calculate the prime factors of 2240 and 2245.

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 2245


5 2245
449 449
1

Prime factors of 2245 are 5,449. Prime factorization of 2245 in exponential form is:

2245 = 51×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 2240 and 2245.

LCM(2240,2245) = 26×51×71×4491
LCM(2240,2245) = 1005760

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 2245

List of positive integer factors of 2245 that divides 2245 without a remainder.

1, 5, 449, 2245

Least Common Multiple of 2240 and 2245 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 2245, than apply into the LCM equation.

GCF(2240,2245) = 5
LCM(2240,2245) = ( 2240 × 2245) / 5
LCM(2240,2245) = 5028800 / 5
LCM(2240,2245) = 1005760

Properties of LCM 2240 and 2245

(i) The LCM of 2245 and 2240 is associative

LCM of 2240 and 2245 = LCM of 2245 and 2240

Related Least Common Multiples of 2240

Related Least Common Multiples of 2245

Frequently Asked Questions on LCM of 2240 and 2245

1. What is the LCM of 2240 and 2245?

Answer: LCM of 2240 and 2245 is 1005760.

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 2245?

Answer: Factors of 2245 are 1, 5, 449, 2245. There are 4 integers that are factors of 2245. The greatest factor of 2245 is 2245.

4. How to Find the LCM of 2240 and 2245?

Answer:

Least Common Multiple of 2240 and 2245 = 1005760

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 2245

2245 = 5 x 449

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

LCM = 1005760 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 449

Step 4: Therefore, the least common multiple of 2240 and 2245 is 1005760.