Least Common Multiple of 243 and 245

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 245 the smallest integer that is 59535 that is divisible by both numbers.

Least Common Multiple (LCM) of 243 and 245 is 59535.

LCM(243,245) = 59535

LCM of 243 and 245

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

LCM of:
and

Least Common Multiple of 243 and 245

LCM of 243 and 245 is 59535

Least common multiple can be found by multiplying the highest exponent prime factors of 243 and 245. First we will calculate the prime factors of 243 and 245.

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 245


5 245
7 49
7 7
1

Prime factors of 245 are 5,7. Prime factorization of 245 in exponential form is:

245 = 51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 243 and 245.

LCM(243,245) = 35×51×72
LCM(243,245) = 59535

Factors of 243

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

1, 3, 9, 27, 81, 243

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Least Common Multiple of 243 and 245 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 245, than apply into the LCM equation.

GCF(243,245) = 1
LCM(243,245) = ( 243 × 245) / 1
LCM(243,245) = 59535 / 1
LCM(243,245) = 59535

Properties of LCM 243 and 245

(i) The LCM of 245 and 243 is associative

LCM of 243 and 245 = LCM of 245 and 243

Related Least Common Multiples of 243

Related Least Common Multiples of 245

Frequently Asked Questions on LCM of 243 and 245

1. What is the LCM of 243 and 245?

Answer: LCM of 243 and 245 is 59535.

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 245?

Answer: Factors of 245 are 1, 5, 7, 35, 49, 245. There are 6 integers that are factors of 245. The greatest factor of 245 is 245.

4. How to Find the LCM of 243 and 245?

Answer:

Least Common Multiple of 243 and 245 = 59535

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 245

245 = 5 x 7 x 7

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

LCM = 59535 = 3 x 3 x 3 x 3 x 3 x 5 x 7 x 7

Step 4: Therefore, the least common multiple of 243 and 245 is 59535.