Least Common Multiple of 243 and 246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 243 and 246 the smallest integer that is 19926 that is divisible by both numbers.

Least Common Multiple (LCM) of 243 and 246 is 19926.

LCM(243,246) = 19926

LCM of 243 and 246

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

LCM of:
and

Least Common Multiple of 243 and 246

LCM of 243 and 246 is 19926

Least common multiple can be found by multiplying the highest exponent prime factors of 243 and 246. First we will calculate the prime factors of 243 and 246.

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

Prime Factorization of 246


2 246
3 123
41 41
1

Prime factors of 246 are 2, 3,41. Prime factorization of 246 in exponential form is:

246 = 21×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 243 and 246.

LCM(243,246) = 21×35×411
LCM(243,246) = 19926

Factors of 243

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

1, 3, 9, 27, 81, 243

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Least Common Multiple of 243 and 246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 243 and 246, than apply into the LCM equation.

GCF(243,246) = 3
LCM(243,246) = ( 243 × 246) / 3
LCM(243,246) = 59778 / 3
LCM(243,246) = 19926

Properties of LCM 243 and 246

(i) The LCM of 246 and 243 is associative

LCM of 243 and 246 = LCM of 246 and 243

Related Least Common Multiples of 243

Related Least Common Multiples of 246

Frequently Asked Questions on LCM of 243 and 246

1. What is the LCM of 243 and 246?

Answer: LCM of 243 and 246 is 19926.

2. 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.

3. What are the Factors of 246?

Answer: Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246. There are 8 integers that are factors of 246. The greatest factor of 246 is 246.

4. How to Find the LCM of 243 and 246?

Answer:

Least Common Multiple of 243 and 246 = 19926

Step 1: Find the prime factorization of 243

243 = 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 246

246 = 2 x 3 x 41

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

LCM = 19926 = 2 x 3 x 3 x 3 x 3 x 3 x 41

Step 4: Therefore, the least common multiple of 243 and 246 is 19926.