Least Common Multiple of 2237 and 2240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2237 and 2240 the smallest integer that is 5010880 that is divisible by both numbers.

Least Common Multiple (LCM) of 2237 and 2240 is 5010880.

LCM(2237,2240) = 5010880

LCM of 2237 and 2240

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

LCM of:
and

Least Common Multiple of 2237 and 2240

LCM of 2237 and 2240 is 5010880

Least common multiple can be found by multiplying the highest exponent prime factors of 2237 and 2240. First we will calculate the prime factors of 2237 and 2240.

Prime Factorization of 2237


2237 2237
1

Prime factors of 2237 are 2237. Prime factorization of 2237 in exponential form is:

2237 = 22371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2237 and 2240.

LCM(2237,2240) = 26×51×71×22371
LCM(2237,2240) = 5010880

Factors of 2237

List of positive integer factors of 2237 that divides 2237 without a remainder.

1, 2237

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

Least Common Multiple of 2237 and 2240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2237 and 2240, than apply into the LCM equation.

GCF(2237,2240) = 1
LCM(2237,2240) = ( 2237 × 2240) / 1
LCM(2237,2240) = 5010880 / 1
LCM(2237,2240) = 5010880

Properties of LCM 2237 and 2240

(i) The LCM of 2240 and 2237 is associative

LCM of 2237 and 2240 = LCM of 2240 and 2237

Related Least Common Multiples of 2237

Related Least Common Multiples of 2240

Frequently Asked Questions on LCM of 2237 and 2240

1. What is the LCM of 2237 and 2240?

Answer: LCM of 2237 and 2240 is 5010880.

2. What are the Factors of 2237?

Answer: Factors of 2237 are 1, 2237. There are 2 integers that are factors of 2237. The greatest factor of 2237 is 2237.

3. 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.

4. How to Find the LCM of 2237 and 2240?

Answer:

Least Common Multiple of 2237 and 2240 = 5010880

Step 1: Find the prime factorization of 2237

2237 = 2237

Step 2: Find the prime factorization of 2240

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

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

LCM = 5010880 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 2237

Step 4: Therefore, the least common multiple of 2237 and 2240 is 5010880.