Least Common Multiple of 237 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 237 and 243 the smallest integer that is 19197 that is divisible by both numbers.

Least Common Multiple (LCM) of 237 and 243 is 19197.

LCM(237,243) = 19197

LCM of 237 and 243

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

LCM of:
and

Least Common Multiple of 237 and 243

LCM of 237 and 243 is 19197

Least common multiple can be found by multiplying the highest exponent prime factors of 237 and 243. First we will calculate the prime factors of 237 and 243.

Prime Factorization of 237


3 237
79 79
1

Prime factors of 237 are 3,79. Prime factorization of 237 in exponential form is:

237 = 31×791

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 237 and 243.

LCM(237,243) = 35×791
LCM(237,243) = 19197

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1, 3, 79, 237

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 237 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 237 and 243, than apply into the LCM equation.

GCF(237,243) = 3
LCM(237,243) = ( 237 × 243) / 3
LCM(237,243) = 57591 / 3
LCM(237,243) = 19197

Properties of LCM 237 and 243

(i) The LCM of 243 and 237 is associative

LCM of 237 and 243 = LCM of 243 and 237

Related Least Common Multiples of 237

Related Least Common Multiples of 243

Frequently Asked Questions on LCM of 237 and 243

1. What is the LCM of 237 and 243?

Answer: LCM of 237 and 243 is 19197.

2. What are the Factors of 237?

Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.

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 237 and 243?

Answer:

Least Common Multiple of 237 and 243 = 19197

Step 1: Find the prime factorization of 237

237 = 3 x 79

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 = 19197 = 3 x 3 x 3 x 3 x 3 x 79

Step 4: Therefore, the least common multiple of 237 and 243 is 19197.