Least Common Multiple of 2226 and 2231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2226 and 2231 the smallest integer that is 4966206 that is divisible by both numbers.

Least Common Multiple (LCM) of 2226 and 2231 is 4966206.

LCM(2226,2231) = 4966206

LCM of 2226 and 2231

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

LCM of:
and

Least Common Multiple of 2226 and 2231

LCM of 2226 and 2231 is 4966206

Least common multiple can be found by multiplying the highest exponent prime factors of 2226 and 2231. First we will calculate the prime factors of 2226 and 2231.

Prime Factorization of 2226


2 2226
3 1113
7 371
53 53
1

Prime factors of 2226 are 2, 3, 7,53. Prime factorization of 2226 in exponential form is:

2226 = 21×31×71×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2226 and 2231.

LCM(2226,2231) = 21×31×71×231×531×971
LCM(2226,2231) = 4966206

Factors of 2226

List of positive integer factors of 2226 that divides 2226 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 1113, 2226

Factors of 2231

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

1, 23, 97, 2231

Least Common Multiple of 2226 and 2231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2226 and 2231, than apply into the LCM equation.

GCF(2226,2231) = 1
LCM(2226,2231) = ( 2226 × 2231) / 1
LCM(2226,2231) = 4966206 / 1
LCM(2226,2231) = 4966206

Properties of LCM 2226 and 2231

(i) The LCM of 2231 and 2226 is associative

LCM of 2226 and 2231 = LCM of 2231 and 2226

Related Least Common Multiples of 2226

Related Least Common Multiples of 2231

Frequently Asked Questions on LCM of 2226 and 2231

1. What is the LCM of 2226 and 2231?

Answer: LCM of 2226 and 2231 is 4966206.

2. What are the Factors of 2226?

Answer: Factors of 2226 are 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 1113, 2226. There are 16 integers that are factors of 2226. The greatest factor of 2226 is 2226.

3. 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.

4. How to Find the LCM of 2226 and 2231?

Answer:

Least Common Multiple of 2226 and 2231 = 4966206

Step 1: Find the prime factorization of 2226

2226 = 2 x 3 x 7 x 53

Step 2: Find the prime factorization of 2231

2231 = 23 x 97

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

LCM = 4966206 = 2 x 3 x 7 x 23 x 53 x 97

Step 4: Therefore, the least common multiple of 2226 and 2231 is 4966206.