Least Common Multiple of 226 and 231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 226 and 231 the smallest integer that is 52206 that is divisible by both numbers.

Least Common Multiple (LCM) of 226 and 231 is 52206.

LCM(226,231) = 52206

LCM of 226 and 231

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

LCM of:
and

Least Common Multiple of 226 and 231

LCM of 226 and 231 is 52206

Least common multiple can be found by multiplying the highest exponent prime factors of 226 and 231. First we will calculate the prime factors of 226 and 231.

Prime Factorization of 226


2 226
113 113
1

Prime factors of 226 are 2,113. Prime factorization of 226 in exponential form is:

226 = 21×1131

Prime Factorization of 231


3 231
7 77
11 11
1

Prime factors of 231 are 3, 7,11. Prime factorization of 231 in exponential form is:

231 = 31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 226 and 231.

LCM(226,231) = 21×31×71×111×1131
LCM(226,231) = 52206

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Least Common Multiple of 226 and 231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 226 and 231, than apply into the LCM equation.

GCF(226,231) = 1
LCM(226,231) = ( 226 × 231) / 1
LCM(226,231) = 52206 / 1
LCM(226,231) = 52206

Properties of LCM 226 and 231

(i) The LCM of 231 and 226 is associative

LCM of 226 and 231 = LCM of 231 and 226

Related Least Common Multiples of 226

Related Least Common Multiples of 231

Frequently Asked Questions on LCM of 226 and 231

1. What is the LCM of 226 and 231?

Answer: LCM of 226 and 231 is 52206.

2. What are the Factors of 226?

Answer: Factors of 226 are 1, 2, 113, 226. There are 4 integers that are factors of 226. The greatest factor of 226 is 226.

3. What are the Factors of 231?

Answer: Factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231. There are 8 integers that are factors of 231. The greatest factor of 231 is 231.

4. How to Find the LCM of 226 and 231?

Answer:

Least Common Multiple of 226 and 231 = 52206

Step 1: Find the prime factorization of 226

226 = 2 x 113

Step 2: Find the prime factorization of 231

231 = 3 x 7 x 11

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

LCM = 52206 = 2 x 3 x 7 x 11 x 113

Step 4: Therefore, the least common multiple of 226 and 231 is 52206.