Least Common Multiple of 2238 and 2243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2238 and 2243 the smallest integer that is 5019834 that is divisible by both numbers.

Least Common Multiple (LCM) of 2238 and 2243 is 5019834.

LCM(2238,2243) = 5019834

LCM of 2238 and 2243

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

LCM of:
and

Least Common Multiple of 2238 and 2243

LCM of 2238 and 2243 is 5019834

Least common multiple can be found by multiplying the highest exponent prime factors of 2238 and 2243. First we will calculate the prime factors of 2238 and 2243.

Prime Factorization of 2238


2 2238
3 1119
373 373
1

Prime factors of 2238 are 2, 3,373. Prime factorization of 2238 in exponential form is:

2238 = 21×31×3731

Prime Factorization of 2243


2243 2243
1

Prime factors of 2243 are 2243. Prime factorization of 2243 in exponential form is:

2243 = 22431

Now multiplying the highest exponent prime factors to calculate the LCM of 2238 and 2243.

LCM(2238,2243) = 21×31×3731×22431
LCM(2238,2243) = 5019834

Factors of 2238

List of positive integer factors of 2238 that divides 2238 without a remainder.

1, 2, 3, 6, 373, 746, 1119, 2238

Factors of 2243

List of positive integer factors of 2243 that divides 2243 without a remainder.

1, 2243

Least Common Multiple of 2238 and 2243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2238 and 2243, than apply into the LCM equation.

GCF(2238,2243) = 1
LCM(2238,2243) = ( 2238 × 2243) / 1
LCM(2238,2243) = 5019834 / 1
LCM(2238,2243) = 5019834

Properties of LCM 2238 and 2243

(i) The LCM of 2243 and 2238 is associative

LCM of 2238 and 2243 = LCM of 2243 and 2238

Related Least Common Multiples of 2238

Related Least Common Multiples of 2243

Frequently Asked Questions on LCM of 2238 and 2243

1. What is the LCM of 2238 and 2243?

Answer: LCM of 2238 and 2243 is 5019834.

2. What are the Factors of 2238?

Answer: Factors of 2238 are 1, 2, 3, 6, 373, 746, 1119, 2238. There are 8 integers that are factors of 2238. The greatest factor of 2238 is 2238.

3. What are the Factors of 2243?

Answer: Factors of 2243 are 1, 2243. There are 2 integers that are factors of 2243. The greatest factor of 2243 is 2243.

4. How to Find the LCM of 2238 and 2243?

Answer:

Least Common Multiple of 2238 and 2243 = 5019834

Step 1: Find the prime factorization of 2238

2238 = 2 x 3 x 373

Step 2: Find the prime factorization of 2243

2243 = 2243

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

LCM = 5019834 = 2 x 3 x 373 x 2243

Step 4: Therefore, the least common multiple of 2238 and 2243 is 5019834.