Least Common Multiple of 2240 and 2247

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 2247 the smallest integer that is 719040 that is divisible by both numbers.

Least Common Multiple (LCM) of 2240 and 2247 is 719040.

LCM(2240,2247) = 719040

LCM of 2240 and 2247

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

LCM of:
and

Least Common Multiple of 2240 and 2247

LCM of 2240 and 2247 is 719040

Least common multiple can be found by multiplying the highest exponent prime factors of 2240 and 2247. First we will calculate the prime factors of 2240 and 2247.

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 2247


3 2247
7 749
107 107
1

Prime factors of 2247 are 3, 7,107. Prime factorization of 2247 in exponential form is:

2247 = 31×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 2240 and 2247.

LCM(2240,2247) = 26×31×51×71×1071
LCM(2240,2247) = 719040

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 2247

List of positive integer factors of 2247 that divides 2247 without a remainder.

1, 3, 7, 21, 107, 321, 749, 2247

Least Common Multiple of 2240 and 2247 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 2247, than apply into the LCM equation.

GCF(2240,2247) = 7
LCM(2240,2247) = ( 2240 × 2247) / 7
LCM(2240,2247) = 5033280 / 7
LCM(2240,2247) = 719040

Properties of LCM 2240 and 2247

(i) The LCM of 2247 and 2240 is associative

LCM of 2240 and 2247 = LCM of 2247 and 2240

Related Least Common Multiples of 2240

Related Least Common Multiples of 2247

Frequently Asked Questions on LCM of 2240 and 2247

1. What is the LCM of 2240 and 2247?

Answer: LCM of 2240 and 2247 is 719040.

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 2247?

Answer: Factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247. There are 8 integers that are factors of 2247. The greatest factor of 2247 is 2247.

4. How to Find the LCM of 2240 and 2247?

Answer:

Least Common Multiple of 2240 and 2247 = 719040

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 2247

2247 = 3 x 7 x 107

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

LCM = 719040 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 107

Step 4: Therefore, the least common multiple of 2240 and 2247 is 719040.