Least Common Multiple of 236 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 236 and 243 the smallest integer that is 57348 that is divisible by both numbers.

Least Common Multiple (LCM) of 236 and 243 is 57348.

LCM(236,243) = 57348

LCM of 236 and 243

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

LCM of:
and

Least Common Multiple of 236 and 243

LCM of 236 and 243 is 57348

Least common multiple can be found by multiplying the highest exponent prime factors of 236 and 243. First we will calculate the prime factors of 236 and 243.

Prime Factorization of 236


2 236
2 118
59 59
1

Prime factors of 236 are 2,59. Prime factorization of 236 in exponential form is:

236 = 22×591

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 236 and 243.

LCM(236,243) = 22×35×591
LCM(236,243) = 57348

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

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 236 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 236 and 243, than apply into the LCM equation.

GCF(236,243) = 1
LCM(236,243) = ( 236 × 243) / 1
LCM(236,243) = 57348 / 1
LCM(236,243) = 57348

Properties of LCM 236 and 243

(i) The LCM of 243 and 236 is associative

LCM of 236 and 243 = LCM of 243 and 236

Related Least Common Multiples of 236

Related Least Common Multiples of 243

Frequently Asked Questions on LCM of 236 and 243

1. What is the LCM of 236 and 243?

Answer: LCM of 236 and 243 is 57348.

2. What are the Factors of 236?

Answer: Factors of 236 are 1, 2, 4, 59, 118, 236. There are 6 integers that are factors of 236. The greatest factor of 236 is 236.

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 236 and 243?

Answer:

Least Common Multiple of 236 and 243 = 57348

Step 1: Find the prime factorization of 236

236 = 2 x 2 x 59

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 = 57348 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 59

Step 4: Therefore, the least common multiple of 236 and 243 is 57348.