Least Common Multiple of 231 and 239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 231 and 239 the smallest integer that is 55209 that is divisible by both numbers.

Least Common Multiple (LCM) of 231 and 239 is 55209.

LCM(231,239) = 55209

LCM of 231 and 239

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

LCM of:
and

Least Common Multiple of 231 and 239

LCM of 231 and 239 is 55209

Least common multiple can be found by multiplying the highest exponent prime factors of 231 and 239. First we will calculate the prime factors of 231 and 239.

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

Prime Factorization of 239


239 239
1

Prime factors of 239 are 239. Prime factorization of 239 in exponential form is:

239 = 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 231 and 239.

LCM(231,239) = 31×71×111×2391
LCM(231,239) = 55209

Factors of 231

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

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

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1, 239

Least Common Multiple of 231 and 239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 231 and 239, than apply into the LCM equation.

GCF(231,239) = 1
LCM(231,239) = ( 231 × 239) / 1
LCM(231,239) = 55209 / 1
LCM(231,239) = 55209

Properties of LCM 231 and 239

(i) The LCM of 239 and 231 is associative

LCM of 231 and 239 = LCM of 239 and 231

Related Least Common Multiples of 231

Related Least Common Multiples of 239

Frequently Asked Questions on LCM of 231 and 239

1. What is the LCM of 231 and 239?

Answer: LCM of 231 and 239 is 55209.

2. 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.

3. What are the Factors of 239?

Answer: Factors of 239 are 1, 239. There are 2 integers that are factors of 239. The greatest factor of 239 is 239.

4. How to Find the LCM of 231 and 239?

Answer:

Least Common Multiple of 231 and 239 = 55209

Step 1: Find the prime factorization of 231

231 = 3 x 7 x 11

Step 2: Find the prime factorization of 239

239 = 239

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

LCM = 55209 = 3 x 7 x 11 x 239

Step 4: Therefore, the least common multiple of 231 and 239 is 55209.