Least Common Multiple of 241 and 244

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 244 the smallest integer that is 58804 that is divisible by both numbers.

Least Common Multiple (LCM) of 241 and 244 is 58804.

LCM(241,244) = 58804

LCM of 241 and 244

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

LCM of:
and

Least Common Multiple of 241 and 244

LCM of 241 and 244 is 58804

Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 244. First we will calculate the prime factors of 241 and 244.

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 244


2 244
2 122
61 61
1

Prime factors of 244 are 2,61. Prime factorization of 244 in exponential form is:

244 = 22×611

Now multiplying the highest exponent prime factors to calculate the LCM of 241 and 244.

LCM(241,244) = 22×611×2411
LCM(241,244) = 58804

Factors of 241

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

1, 241

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Least Common Multiple of 241 and 244 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 244, than apply into the LCM equation.

GCF(241,244) = 1
LCM(241,244) = ( 241 × 244) / 1
LCM(241,244) = 58804 / 1
LCM(241,244) = 58804

Properties of LCM 241 and 244

(i) The LCM of 244 and 241 is associative

LCM of 241 and 244 = LCM of 244 and 241

Related Least Common Multiples of 241

Related Least Common Multiples of 244

Frequently Asked Questions on LCM of 241 and 244

1. What is the LCM of 241 and 244?

Answer: LCM of 241 and 244 is 58804.

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 244?

Answer: Factors of 244 are 1, 2, 4, 61, 122, 244. There are 6 integers that are factors of 244. The greatest factor of 244 is 244.

4. How to Find the LCM of 241 and 244?

Answer:

Least Common Multiple of 241 and 244 = 58804

Step 1: Find the prime factorization of 241

241 = 241

Step 2: Find the prime factorization of 244

244 = 2 x 2 x 61

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

LCM = 58804 = 2 x 2 x 61 x 241

Step 4: Therefore, the least common multiple of 241 and 244 is 58804.