Least Common Multiple of 243 and 248

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 248 the smallest integer that is 60264 that is divisible by both numbers.

Least Common Multiple (LCM) of 243 and 248 is 60264.

LCM(243,248) = 60264

LCM of 243 and 248

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

LCM of:
and

Least Common Multiple of 243 and 248

LCM of 243 and 248 is 60264

Least common multiple can be found by multiplying the highest exponent prime factors of 243 and 248. First we will calculate the prime factors of 243 and 248.

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 248


2 248
2 124
2 62
31 31
1

Prime factors of 248 are 2,31. Prime factorization of 248 in exponential form is:

248 = 23×311

Now multiplying the highest exponent prime factors to calculate the LCM of 243 and 248.

LCM(243,248) = 23×35×311
LCM(243,248) = 60264

Factors of 243

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

1, 3, 9, 27, 81, 243

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Least Common Multiple of 243 and 248 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 248, than apply into the LCM equation.

GCF(243,248) = 1
LCM(243,248) = ( 243 × 248) / 1
LCM(243,248) = 60264 / 1
LCM(243,248) = 60264

Properties of LCM 243 and 248

(i) The LCM of 248 and 243 is associative

LCM of 243 and 248 = LCM of 248 and 243

Related Least Common Multiples of 243

Related Least Common Multiples of 248

Frequently Asked Questions on LCM of 243 and 248

1. What is the LCM of 243 and 248?

Answer: LCM of 243 and 248 is 60264.

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 248?

Answer: Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248. There are 8 integers that are factors of 248. The greatest factor of 248 is 248.

4. How to Find the LCM of 243 and 248?

Answer:

Least Common Multiple of 243 and 248 = 60264

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 248

248 = 2 x 2 x 2 x 31

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

LCM = 60264 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 31

Step 4: Therefore, the least common multiple of 243 and 248 is 60264.