Least Common Multiple of 242 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 242 and 248 the smallest integer that is 30008 that is divisible by both numbers.

Least Common Multiple (LCM) of 242 and 248 is 30008.

LCM(242,248) = 30008

LCM of 242 and 248

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

LCM of:
and

Least Common Multiple of 242 and 248

LCM of 242 and 248 is 30008

Least common multiple can be found by multiplying the highest exponent prime factors of 242 and 248. First we will calculate the prime factors of 242 and 248.

Prime Factorization of 242


2 242
11 121
11 11
1

Prime factors of 242 are 2,11. Prime factorization of 242 in exponential form is:

242 = 21×112

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 242 and 248.

LCM(242,248) = 23×112×311
LCM(242,248) = 30008

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

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 242 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 242 and 248, than apply into the LCM equation.

GCF(242,248) = 2
LCM(242,248) = ( 242 × 248) / 2
LCM(242,248) = 60016 / 2
LCM(242,248) = 30008

Properties of LCM 242 and 248

(i) The LCM of 248 and 242 is associative

LCM of 242 and 248 = LCM of 248 and 242

Related Least Common Multiples of 242

Related Least Common Multiples of 248

Frequently Asked Questions on LCM of 242 and 248

1. What is the LCM of 242 and 248?

Answer: LCM of 242 and 248 is 30008.

2. What are the Factors of 242?

Answer: Factors of 242 are 1, 2, 11, 22, 121, 242. There are 6 integers that are factors of 242. The greatest factor of 242 is 242.

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 242 and 248?

Answer:

Least Common Multiple of 242 and 248 = 30008

Step 1: Find the prime factorization of 242

242 = 2 x 11 x 11

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 = 30008 = 2 x 2 x 2 x 11 x 11 x 31

Step 4: Therefore, the least common multiple of 242 and 248 is 30008.