Least Common Multiple of 241 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 241 and 243 the smallest integer that is 58563 that is divisible by both numbers.

Least Common Multiple (LCM) of 241 and 243 is 58563.

LCM(241,243) = 58563

LCM of 241 and 243

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

LCM of:
and

Least Common Multiple of 241 and 243

LCM of 241 and 243 is 58563

Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 243. First we will calculate the prime factors of 241 and 243.

Prime Factorization of 241


241 241
1

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

241 = 2411

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 241 and 243.

LCM(241,243) = 35×2411
LCM(241,243) = 58563

Factors of 241

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

1, 241

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 241 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 241 and 243, than apply into the LCM equation.

GCF(241,243) = 1
LCM(241,243) = ( 241 × 243) / 1
LCM(241,243) = 58563 / 1
LCM(241,243) = 58563

Properties of LCM 241 and 243

(i) The LCM of 243 and 241 is associative

LCM of 241 and 243 = LCM of 243 and 241

Related Least Common Multiples of 241

Related Least Common Multiples of 243

Frequently Asked Questions on LCM of 241 and 243

1. What is the LCM of 241 and 243?

Answer: LCM of 241 and 243 is 58563.

2. 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.

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 241 and 243?

Answer:

Least Common Multiple of 241 and 243 = 58563

Step 1: Find the prime factorization of 241

241 = 241

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 = 58563 = 3 x 3 x 3 x 3 x 3 x 241

Step 4: Therefore, the least common multiple of 241 and 243 is 58563.