Least Common Multiple of 238 and 243

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 243 the smallest integer that is 57834 that is divisible by both numbers.

Least Common Multiple (LCM) of 238 and 243 is 57834.

LCM(238,243) = 57834

LCM of 238 and 243

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

LCM of:
and

Least Common Multiple of 238 and 243

LCM of 238 and 243 is 57834

Least common multiple can be found by multiplying the highest exponent prime factors of 238 and 243. First we will calculate the prime factors of 238 and 243.

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 243


3 243
3 81
3 27
3 9
3 3
1

Prime factors of 243 are 3. Prime factorization of 243 in exponential form is:

243 = 35

Now multiplying the highest exponent prime factors to calculate the LCM of 238 and 243.

LCM(238,243) = 21×35×71×171
LCM(238,243) = 57834

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 243

List of positive integer factors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Least Common Multiple of 238 and 243 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 243, than apply into the LCM equation.

GCF(238,243) = 1
LCM(238,243) = ( 238 × 243) / 1
LCM(238,243) = 57834 / 1
LCM(238,243) = 57834

Properties of LCM 238 and 243

(i) The LCM of 243 and 238 is associative

LCM of 238 and 243 = LCM of 243 and 238

Related Least Common Multiples of 238

Related Least Common Multiples of 243

Frequently Asked Questions on LCM of 238 and 243

1. What is the LCM of 238 and 243?

Answer: LCM of 238 and 243 is 57834.

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 243?

Answer: Factors of 243 are 1, 3, 9, 27, 81, 243. There are 6 integers that are factors of 243. The greatest factor of 243 is 243.

4. How to Find the LCM of 238 and 243?

Answer:

Least Common Multiple of 238 and 243 = 57834

Step 1: Find the prime factorization of 238

238 = 2 x 7 x 17

Step 2: Find the prime factorization of 243

243 = 3 x 3 x 3 x 3 x 3

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

LCM = 57834 = 2 x 3 x 3 x 3 x 3 x 3 x 7 x 17

Step 4: Therefore, the least common multiple of 238 and 243 is 57834.