Least Common Multiple of 233 and 238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 233 and 238 the smallest integer that is 55454 that is divisible by both numbers.

Least Common Multiple (LCM) of 233 and 238 is 55454.

LCM(233,238) = 55454

LCM of 233 and 238

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

LCM of:
and

Least Common Multiple of 233 and 238

LCM of 233 and 238 is 55454

Least common multiple can be found by multiplying the highest exponent prime factors of 233 and 238. First we will calculate the prime factors of 233 and 238.

Prime Factorization of 233


233 233
1

Prime factors of 233 are 233. Prime factorization of 233 in exponential form is:

233 = 2331

Prime Factorization of 238


2 238
7 119
17 17
1

Prime factors of 238 are 2, 7,17. Prime factorization of 238 in exponential form is:

238 = 21×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 233 and 238.

LCM(233,238) = 21×71×171×2331
LCM(233,238) = 55454

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1, 233

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Least Common Multiple of 233 and 238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 233 and 238, than apply into the LCM equation.

GCF(233,238) = 1
LCM(233,238) = ( 233 × 238) / 1
LCM(233,238) = 55454 / 1
LCM(233,238) = 55454

Properties of LCM 233 and 238

(i) The LCM of 238 and 233 is associative

LCM of 233 and 238 = LCM of 238 and 233

Related Least Common Multiples of 233

Related Least Common Multiples of 238

Frequently Asked Questions on LCM of 233 and 238

1. What is the LCM of 233 and 238?

Answer: LCM of 233 and 238 is 55454.

2. What are the Factors of 233?

Answer: Factors of 233 are 1, 233. There are 2 integers that are factors of 233. The greatest factor of 233 is 233.

3. What are the Factors of 238?

Answer: Factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238. There are 8 integers that are factors of 238. The greatest factor of 238 is 238.

4. How to Find the LCM of 233 and 238?

Answer:

Least Common Multiple of 233 and 238 = 55454

Step 1: Find the prime factorization of 233

233 = 233

Step 2: Find the prime factorization of 238

238 = 2 x 7 x 17

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

LCM = 55454 = 2 x 7 x 17 x 233

Step 4: Therefore, the least common multiple of 233 and 238 is 55454.