Least Common Multiple of 241 and 249

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 249 the smallest integer that is 60009 that is divisible by both numbers.

Least Common Multiple (LCM) of 241 and 249 is 60009.

LCM(241,249) = 60009

LCM of 241 and 249

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

LCM of:
and

Least Common Multiple of 241 and 249

LCM of 241 and 249 is 60009

Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 249. First we will calculate the prime factors of 241 and 249.

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 249


3 249
83 83
1

Prime factors of 249 are 3,83. Prime factorization of 249 in exponential form is:

249 = 31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 241 and 249.

LCM(241,249) = 31×831×2411
LCM(241,249) = 60009

Factors of 241

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

1, 241

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Least Common Multiple of 241 and 249 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 249, than apply into the LCM equation.

GCF(241,249) = 1
LCM(241,249) = ( 241 × 249) / 1
LCM(241,249) = 60009 / 1
LCM(241,249) = 60009

Properties of LCM 241 and 249

(i) The LCM of 249 and 241 is associative

LCM of 241 and 249 = LCM of 249 and 241

Related Least Common Multiples of 241

Related Least Common Multiples of 249

Frequently Asked Questions on LCM of 241 and 249

1. What is the LCM of 241 and 249?

Answer: LCM of 241 and 249 is 60009.

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 249?

Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.

4. How to Find the LCM of 241 and 249?

Answer:

Least Common Multiple of 241 and 249 = 60009

Step 1: Find the prime factorization of 241

241 = 241

Step 2: Find the prime factorization of 249

249 = 3 x 83

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

LCM = 60009 = 3 x 83 x 241

Step 4: Therefore, the least common multiple of 241 and 249 is 60009.