Least Common Multiple of 241 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 241 and 248 the smallest integer that is 59768 that is divisible by both numbers.

Least Common Multiple (LCM) of 241 and 248 is 59768.

LCM(241,248) = 59768

LCM of 241 and 248

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

LCM of:
and

Least Common Multiple of 241 and 248

LCM of 241 and 248 is 59768

Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 248. First we will calculate the prime factors of 241 and 248.

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 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 241 and 248.

LCM(241,248) = 23×311×2411
LCM(241,248) = 59768

Factors of 241

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

1, 241

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 241 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 241 and 248, than apply into the LCM equation.

GCF(241,248) = 1
LCM(241,248) = ( 241 × 248) / 1
LCM(241,248) = 59768 / 1
LCM(241,248) = 59768

Properties of LCM 241 and 248

(i) The LCM of 248 and 241 is associative

LCM of 241 and 248 = LCM of 248 and 241

Related Least Common Multiples of 241

Related Least Common Multiples of 248

Frequently Asked Questions on LCM of 241 and 248

1. What is the LCM of 241 and 248?

Answer: LCM of 241 and 248 is 59768.

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 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 241 and 248?

Answer:

Least Common Multiple of 241 and 248 = 59768

Step 1: Find the prime factorization of 241

241 = 241

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 = 59768 = 2 x 2 x 2 x 31 x 241

Step 4: Therefore, the least common multiple of 241 and 248 is 59768.