Least Common Multiple of 2231 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 2231 and 2237 the smallest integer that is 4990747 that is divisible by both numbers.

Least Common Multiple (LCM) of 2231 and 2237 is 4990747.

LCM(2231,2237) = 4990747

LCM of 2231 and 2237

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

LCM of:
and

Least Common Multiple of 2231 and 2237

LCM of 2231 and 2237 is 4990747

Least common multiple can be found by multiplying the highest exponent prime factors of 2231 and 2237. First we will calculate the prime factors of 2231 and 2237.

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 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 2231 and 2237.

LCM(2231,2237) = 231×971×22371
LCM(2231,2237) = 4990747

Factors of 2231

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

1, 23, 97, 2231

Factors of 2237

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

1, 2237

Least Common Multiple of 2231 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 2231 and 2237, than apply into the LCM equation.

GCF(2231,2237) = 1
LCM(2231,2237) = ( 2231 × 2237) / 1
LCM(2231,2237) = 4990747 / 1
LCM(2231,2237) = 4990747

Properties of LCM 2231 and 2237

(i) The LCM of 2237 and 2231 is associative

LCM of 2231 and 2237 = LCM of 2237 and 2231

Related Least Common Multiples of 2231

Related Least Common Multiples of 2237

Frequently Asked Questions on LCM of 2231 and 2237

1. What is the LCM of 2231 and 2237?

Answer: LCM of 2231 and 2237 is 4990747.

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 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 2231 and 2237?

Answer:

Least Common Multiple of 2231 and 2237 = 4990747

Step 1: Find the prime factorization of 2231

2231 = 23 x 97

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 = 4990747 = 23 x 97 x 2237

Step 4: Therefore, the least common multiple of 2231 and 2237 is 4990747.