Least Common Multiple of 12241 and 12248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12241 and 12248 the smallest integer that is 149927768 that is divisible by both numbers.

Least Common Multiple (LCM) of 12241 and 12248 is 149927768.

LCM(12241,12248) = 149927768

LCM of 12241 and 12248

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

LCM of:
and

Least Common Multiple of 12241 and 12248

LCM of 12241 and 12248 is 149927768

Least common multiple can be found by multiplying the highest exponent prime factors of 12241 and 12248. First we will calculate the prime factors of 12241 and 12248.

Prime Factorization of 12241


12241 12241
1

Prime factors of 12241 are 12241. Prime factorization of 12241 in exponential form is:

12241 = 122411

Prime Factorization of 12248


2 12248
2 6124
2 3062
1531 1531
1

Prime factors of 12248 are 2,1531. Prime factorization of 12248 in exponential form is:

12248 = 23×15311

Now multiplying the highest exponent prime factors to calculate the LCM of 12241 and 12248.

LCM(12241,12248) = 23×15311×122411
LCM(12241,12248) = 149927768

Factors of 12241

List of positive integer factors of 12241 that divides 12241 without a remainder.

1, 12241

Factors of 12248

List of positive integer factors of 12248 that divides 12248 without a remainder.

1, 2, 4, 8, 1531, 3062, 6124, 12248

Least Common Multiple of 12241 and 12248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12241 and 12248, than apply into the LCM equation.

GCF(12241,12248) = 1
LCM(12241,12248) = ( 12241 × 12248) / 1
LCM(12241,12248) = 149927768 / 1
LCM(12241,12248) = 149927768

Properties of LCM 12241 and 12248

(i) The LCM of 12248 and 12241 is associative

LCM of 12241 and 12248 = LCM of 12248 and 12241

Related Least Common Multiples of 12241

Related Least Common Multiples of 12248

Frequently Asked Questions on LCM of 12241 and 12248

1. What is the LCM of 12241 and 12248?

Answer: LCM of 12241 and 12248 is 149927768.

2. What are the Factors of 12241?

Answer: Factors of 12241 are 1, 12241. There are 2 integers that are factors of 12241. The greatest factor of 12241 is 12241.

3. What are the Factors of 12248?

Answer: Factors of 12248 are 1, 2, 4, 8, 1531, 3062, 6124, 12248. There are 8 integers that are factors of 12248. The greatest factor of 12248 is 12248.

4. How to Find the LCM of 12241 and 12248?

Answer:

Least Common Multiple of 12241 and 12248 = 149927768

Step 1: Find the prime factorization of 12241

12241 = 12241

Step 2: Find the prime factorization of 12248

12248 = 2 x 2 x 2 x 1531

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

LCM = 149927768 = 2 x 2 x 2 x 1531 x 12241

Step 4: Therefore, the least common multiple of 12241 and 12248 is 149927768.