Least Common Multiple of 2231 and 2238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2231 and 2238 the smallest integer that is 4992978 that is divisible by both numbers.

Least Common Multiple (LCM) of 2231 and 2238 is 4992978.

LCM(2231,2238) = 4992978

LCM of 2231 and 2238

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

LCM of:
and

Least Common Multiple of 2231 and 2238

LCM of 2231 and 2238 is 4992978

Least common multiple can be found by multiplying the highest exponent prime factors of 2231 and 2238. First we will calculate the prime factors of 2231 and 2238.

Prime Factorization of 2231


23 2231
97 97
1

Prime factors of 2231 are 23,97. Prime factorization of 2231 in exponential form is:

2231 = 231×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2231 and 2238.

LCM(2231,2238) = 21×31×231×971×3731
LCM(2231,2238) = 4992978

Factors of 2231

List of positive integer factors of 2231 that divides 2231 without a remainder.

1, 23, 97, 2231

Factors of 2238

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

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

Least Common Multiple of 2231 and 2238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2231 and 2238, than apply into the LCM equation.

GCF(2231,2238) = 1
LCM(2231,2238) = ( 2231 × 2238) / 1
LCM(2231,2238) = 4992978 / 1
LCM(2231,2238) = 4992978

Properties of LCM 2231 and 2238

(i) The LCM of 2238 and 2231 is associative

LCM of 2231 and 2238 = LCM of 2238 and 2231

Related Least Common Multiples of 2231

Related Least Common Multiples of 2238

Frequently Asked Questions on LCM of 2231 and 2238

1. What is the LCM of 2231 and 2238?

Answer: LCM of 2231 and 2238 is 4992978.

2. What are the Factors of 2231?

Answer: Factors of 2231 are 1, 23, 97, 2231. There are 4 integers that are factors of 2231. The greatest factor of 2231 is 2231.

3. 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.

4. How to Find the LCM of 2231 and 2238?

Answer:

Least Common Multiple of 2231 and 2238 = 4992978

Step 1: Find the prime factorization of 2231

2231 = 23 x 97

Step 2: Find the prime factorization of 2238

2238 = 2 x 3 x 373

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

LCM = 4992978 = 2 x 3 x 23 x 97 x 373

Step 4: Therefore, the least common multiple of 2231 and 2238 is 4992978.