Least Common Multiple of 241 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 241 and 242 the smallest integer that is 58322 that is divisible by both numbers.

Least Common Multiple (LCM) of 241 and 242 is 58322.

LCM(241,242) = 58322

LCM of 241 and 242

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

LCM of:
and

Least Common Multiple of 241 and 242

LCM of 241 and 242 is 58322

Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 242. First we will calculate the prime factors of 241 and 242.

Prime Factorization of 241


241 241
1

Prime factors of 241 are 241. Prime factorization of 241 in exponential form is:

241 = 2411

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 241 and 242.

LCM(241,242) = 21×112×2411
LCM(241,242) = 58322

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1, 241

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 241 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 241 and 242, than apply into the LCM equation.

GCF(241,242) = 1
LCM(241,242) = ( 241 × 242) / 1
LCM(241,242) = 58322 / 1
LCM(241,242) = 58322

Properties of LCM 241 and 242

(i) The LCM of 242 and 241 is associative

LCM of 241 and 242 = LCM of 242 and 241

Related Least Common Multiples of 241

Related Least Common Multiples of 242

Frequently Asked Questions on LCM of 241 and 242

1. What is the LCM of 241 and 242?

Answer: LCM of 241 and 242 is 58322.

2. What are the Factors of 241?

Answer: Factors of 241 are 1, 241. There are 2 integers that are factors of 241. The greatest factor of 241 is 241.

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 241 and 242?

Answer:

Least Common Multiple of 241 and 242 = 58322

Step 1: Find the prime factorization of 241

241 = 241

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 = 58322 = 2 x 11 x 11 x 241

Step 4: Therefore, the least common multiple of 241 and 242 is 58322.