Least Common Multiple of 238 and 242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 238 and 242 the smallest integer that is 28798 that is divisible by both numbers.

Least Common Multiple (LCM) of 238 and 242 is 28798.

LCM(238,242) = 28798

LCM of 238 and 242

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

LCM of:
and

Least Common Multiple of 238 and 242

LCM of 238 and 242 is 28798

Least common multiple can be found by multiplying the highest exponent prime factors of 238 and 242. First we will calculate the prime factors of 238 and 242.

Prime Factorization of 238


2 238
7 119
17 17
1

Prime factors of 238 are 2, 7,17. Prime factorization of 238 in exponential form is:

238 = 21×71×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 238 and 242.

LCM(238,242) = 21×71×112×171
LCM(238,242) = 28798

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Factors of 242

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

1, 2, 11, 22, 121, 242

Least Common Multiple of 238 and 242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 238 and 242, than apply into the LCM equation.

GCF(238,242) = 2
LCM(238,242) = ( 238 × 242) / 2
LCM(238,242) = 57596 / 2
LCM(238,242) = 28798

Properties of LCM 238 and 242

(i) The LCM of 242 and 238 is associative

LCM of 238 and 242 = LCM of 242 and 238

Related Least Common Multiples of 238

Related Least Common Multiples of 242

Frequently Asked Questions on LCM of 238 and 242

1. What is the LCM of 238 and 242?

Answer: LCM of 238 and 242 is 28798.

2. What are the Factors of 238?

Answer: Factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238. There are 8 integers that are factors of 238. The greatest factor of 238 is 238.

3. 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.

4. How to Find the LCM of 238 and 242?

Answer:

Least Common Multiple of 238 and 242 = 28798

Step 1: Find the prime factorization of 238

238 = 2 x 7 x 17

Step 2: Find the prime factorization of 242

242 = 2 x 11 x 11

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

LCM = 28798 = 2 x 7 x 11 x 11 x 17

Step 4: Therefore, the least common multiple of 238 and 242 is 28798.