Least Common Multiple of 2230 and 2237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2230 and 2237 the smallest integer that is 4988510 that is divisible by both numbers.

Least Common Multiple (LCM) of 2230 and 2237 is 4988510.

LCM(2230,2237) = 4988510

LCM of 2230 and 2237

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

LCM of:
and

Least Common Multiple of 2230 and 2237

LCM of 2230 and 2237 is 4988510

Least common multiple can be found by multiplying the highest exponent prime factors of 2230 and 2237. First we will calculate the prime factors of 2230 and 2237.

Prime Factorization of 2230


2 2230
5 1115
223 223
1

Prime factors of 2230 are 2, 5,223. Prime factorization of 2230 in exponential form is:

2230 = 21×51×2231

Prime Factorization of 2237


2237 2237
1

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

2237 = 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 2230 and 2237.

LCM(2230,2237) = 21×51×2231×22371
LCM(2230,2237) = 4988510

Factors of 2230

List of positive integer factors of 2230 that divides 2230 without a remainder.

1, 2, 5, 10, 223, 446, 1115, 2230

Factors of 2237

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

1, 2237

Least Common Multiple of 2230 and 2237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2230 and 2237, than apply into the LCM equation.

GCF(2230,2237) = 1
LCM(2230,2237) = ( 2230 × 2237) / 1
LCM(2230,2237) = 4988510 / 1
LCM(2230,2237) = 4988510

Properties of LCM 2230 and 2237

(i) The LCM of 2237 and 2230 is associative

LCM of 2230 and 2237 = LCM of 2237 and 2230

Related Least Common Multiples of 2230

Related Least Common Multiples of 2237

Frequently Asked Questions on LCM of 2230 and 2237

1. What is the LCM of 2230 and 2237?

Answer: LCM of 2230 and 2237 is 4988510.

2. What are the Factors of 2230?

Answer: Factors of 2230 are 1, 2, 5, 10, 223, 446, 1115, 2230. There are 8 integers that are factors of 2230. The greatest factor of 2230 is 2230.

3. 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.

4. How to Find the LCM of 2230 and 2237?

Answer:

Least Common Multiple of 2230 and 2237 = 4988510

Step 1: Find the prime factorization of 2230

2230 = 2 x 5 x 223

Step 2: Find the prime factorization of 2237

2237 = 2237

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

LCM = 4988510 = 2 x 5 x 223 x 2237

Step 4: Therefore, the least common multiple of 2230 and 2237 is 4988510.