Least Common Multiple of 241 and 247

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 247 the smallest integer that is 59527 that is divisible by both numbers.

Least Common Multiple (LCM) of 241 and 247 is 59527.

LCM(241,247) = 59527

LCM of 241 and 247

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

LCM of:
and

Least Common Multiple of 241 and 247

LCM of 241 and 247 is 59527

Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 247. First we will calculate the prime factors of 241 and 247.

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 247


13 247
19 19
1

Prime factors of 247 are 13,19. Prime factorization of 247 in exponential form is:

247 = 131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 241 and 247.

LCM(241,247) = 131×191×2411
LCM(241,247) = 59527

Factors of 241

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

1, 241

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Least Common Multiple of 241 and 247 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 247, than apply into the LCM equation.

GCF(241,247) = 1
LCM(241,247) = ( 241 × 247) / 1
LCM(241,247) = 59527 / 1
LCM(241,247) = 59527

Properties of LCM 241 and 247

(i) The LCM of 247 and 241 is associative

LCM of 241 and 247 = LCM of 247 and 241

Related Least Common Multiples of 241

Related Least Common Multiples of 247

Frequently Asked Questions on LCM of 241 and 247

1. What is the LCM of 241 and 247?

Answer: LCM of 241 and 247 is 59527.

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 247?

Answer: Factors of 247 are 1, 13, 19, 247. There are 4 integers that are factors of 247. The greatest factor of 247 is 247.

4. How to Find the LCM of 241 and 247?

Answer:

Least Common Multiple of 241 and 247 = 59527

Step 1: Find the prime factorization of 241

241 = 241

Step 2: Find the prime factorization of 247

247 = 13 x 19

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

LCM = 59527 = 13 x 19 x 241

Step 4: Therefore, the least common multiple of 241 and 247 is 59527.