Least Common Multiple of 238 and 241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 238 and 241 the smallest integer that is 57358 that is divisible by both numbers.

Least Common Multiple (LCM) of 238 and 241 is 57358.

LCM(238,241) = 57358

LCM of 238 and 241

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

LCM of:
and

Least Common Multiple of 238 and 241

LCM of 238 and 241 is 57358

Least common multiple can be found by multiplying the highest exponent prime factors of 238 and 241. First we will calculate the prime factors of 238 and 241.

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

Prime Factorization of 241


241 241
1

Prime factors of 241 are 241. Prime factorization of 241 in exponential form is:

241 = 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 238 and 241.

LCM(238,241) = 21×71×171×2411
LCM(238,241) = 57358

Factors of 238

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

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

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1, 241

Least Common Multiple of 238 and 241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 238 and 241, than apply into the LCM equation.

GCF(238,241) = 1
LCM(238,241) = ( 238 × 241) / 1
LCM(238,241) = 57358 / 1
LCM(238,241) = 57358

Properties of LCM 238 and 241

(i) The LCM of 241 and 238 is associative

LCM of 238 and 241 = LCM of 241 and 238

Related Least Common Multiples of 238

Related Least Common Multiples of 241

Frequently Asked Questions on LCM of 238 and 241

1. What is the LCM of 238 and 241?

Answer: LCM of 238 and 241 is 57358.

2. 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.

3. What are the Factors of 241?

Answer: Factors of 241 are 1, 241. There are 2 integers that are factors of 241. The greatest factor of 241 is 241.

4. How to Find the LCM of 238 and 241?

Answer:

Least Common Multiple of 238 and 241 = 57358

Step 1: Find the prime factorization of 238

238 = 2 x 7 x 17

Step 2: Find the prime factorization of 241

241 = 241

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

LCM = 57358 = 2 x 7 x 17 x 241

Step 4: Therefore, the least common multiple of 238 and 241 is 57358.