Least Common Multiple of 239 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 239 and 243 the smallest integer that is 58077 that is divisible by both numbers.

Least Common Multiple (LCM) of 239 and 243 is 58077.

LCM(239,243) = 58077

LCM of 239 and 243

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

LCM of:
and

Least Common Multiple of 239 and 243

LCM of 239 and 243 is 58077

Least common multiple can be found by multiplying the highest exponent prime factors of 239 and 243. First we will calculate the prime factors of 239 and 243.

Prime Factorization of 239


239 239
1

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

239 = 2391

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 239 and 243.

LCM(239,243) = 35×2391
LCM(239,243) = 58077

Factors of 239

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

1, 239

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 239 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 239 and 243, than apply into the LCM equation.

GCF(239,243) = 1
LCM(239,243) = ( 239 × 243) / 1
LCM(239,243) = 58077 / 1
LCM(239,243) = 58077

Properties of LCM 239 and 243

(i) The LCM of 243 and 239 is associative

LCM of 239 and 243 = LCM of 243 and 239

Related Least Common Multiples of 239

Related Least Common Multiples of 243

Frequently Asked Questions on LCM of 239 and 243

1. What is the LCM of 239 and 243?

Answer: LCM of 239 and 243 is 58077.

2. 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.

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 239 and 243?

Answer:

Least Common Multiple of 239 and 243 = 58077

Step 1: Find the prime factorization of 239

239 = 239

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 = 58077 = 3 x 3 x 3 x 3 x 3 x 239

Step 4: Therefore, the least common multiple of 239 and 243 is 58077.