Least Common Multiple of 12234 and 12241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12234 and 12241 the smallest integer that is 149756394 that is divisible by both numbers.

Least Common Multiple (LCM) of 12234 and 12241 is 149756394.

LCM(12234,12241) = 149756394

LCM of 12234 and 12241

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

LCM of:
and

Least Common Multiple of 12234 and 12241

LCM of 12234 and 12241 is 149756394

Least common multiple can be found by multiplying the highest exponent prime factors of 12234 and 12241. First we will calculate the prime factors of 12234 and 12241.

Prime Factorization of 12234


2 12234
3 6117
2039 2039
1

Prime factors of 12234 are 2, 3,2039. Prime factorization of 12234 in exponential form is:

12234 = 21×31×20391

Prime Factorization of 12241


12241 12241
1

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

12241 = 122411

Now multiplying the highest exponent prime factors to calculate the LCM of 12234 and 12241.

LCM(12234,12241) = 21×31×20391×122411
LCM(12234,12241) = 149756394

Factors of 12234

List of positive integer factors of 12234 that divides 12234 without a remainder.

1, 2, 3, 6, 2039, 4078, 6117, 12234

Factors of 12241

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

1, 12241

Least Common Multiple of 12234 and 12241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12234 and 12241, than apply into the LCM equation.

GCF(12234,12241) = 1
LCM(12234,12241) = ( 12234 × 12241) / 1
LCM(12234,12241) = 149756394 / 1
LCM(12234,12241) = 149756394

Properties of LCM 12234 and 12241

(i) The LCM of 12241 and 12234 is associative

LCM of 12234 and 12241 = LCM of 12241 and 12234

Related Least Common Multiples of 12234

Related Least Common Multiples of 12241

Frequently Asked Questions on LCM of 12234 and 12241

1. What is the LCM of 12234 and 12241?

Answer: LCM of 12234 and 12241 is 149756394.

2. What are the Factors of 12234?

Answer: Factors of 12234 are 1, 2, 3, 6, 2039, 4078, 6117, 12234. There are 8 integers that are factors of 12234. The greatest factor of 12234 is 12234.

3. 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.

4. How to Find the LCM of 12234 and 12241?

Answer:

Least Common Multiple of 12234 and 12241 = 149756394

Step 1: Find the prime factorization of 12234

12234 = 2 x 3 x 2039

Step 2: Find the prime factorization of 12241

12241 = 12241

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

LCM = 149756394 = 2 x 3 x 2039 x 12241

Step 4: Therefore, the least common multiple of 12234 and 12241 is 149756394.