Least Common Multiple of 12337 and 12342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12337 and 12342 the smallest integer that is 152263254 that is divisible by both numbers.

Least Common Multiple (LCM) of 12337 and 12342 is 152263254.

LCM(12337,12342) = 152263254

LCM of 12337 and 12342

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

LCM of:
and

Least Common Multiple of 12337 and 12342

LCM of 12337 and 12342 is 152263254

Least common multiple can be found by multiplying the highest exponent prime factors of 12337 and 12342. First we will calculate the prime factors of 12337 and 12342.

Prime Factorization of 12337


13 12337
13 949
73 73
1

Prime factors of 12337 are 13,73. Prime factorization of 12337 in exponential form is:

12337 = 132×731

Prime Factorization of 12342


2 12342
3 6171
11 2057
11 187
17 17
1

Prime factors of 12342 are 2, 3, 11,17. Prime factorization of 12342 in exponential form is:

12342 = 21×31×112×171

Now multiplying the highest exponent prime factors to calculate the LCM of 12337 and 12342.

LCM(12337,12342) = 21×31×112×132×171×731
LCM(12337,12342) = 152263254

Factors of 12337

List of positive integer factors of 12337 that divides 12337 without a remainder.

1, 13, 73, 169, 949, 12337

Factors of 12342

List of positive integer factors of 12342 that divides 12342 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 121, 187, 242, 363, 374, 561, 726, 1122, 2057, 4114, 6171, 12342

Least Common Multiple of 12337 and 12342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12337 and 12342, than apply into the LCM equation.

GCF(12337,12342) = 1
LCM(12337,12342) = ( 12337 × 12342) / 1
LCM(12337,12342) = 152263254 / 1
LCM(12337,12342) = 152263254

Properties of LCM 12337 and 12342

(i) The LCM of 12342 and 12337 is associative

LCM of 12337 and 12342 = LCM of 12342 and 12337

Related Least Common Multiples of 12337

Related Least Common Multiples of 12342

Frequently Asked Questions on LCM of 12337 and 12342

1. What is the LCM of 12337 and 12342?

Answer: LCM of 12337 and 12342 is 152263254.

2. What are the Factors of 12337?

Answer: Factors of 12337 are 1, 13, 73, 169, 949, 12337. There are 6 integers that are factors of 12337. The greatest factor of 12337 is 12337.

3. What are the Factors of 12342?

Answer: Factors of 12342 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 121, 187, 242, 363, 374, 561, 726, 1122, 2057, 4114, 6171, 12342. There are 24 integers that are factors of 12342. The greatest factor of 12342 is 12342.

4. How to Find the LCM of 12337 and 12342?

Answer:

Least Common Multiple of 12337 and 12342 = 152263254

Step 1: Find the prime factorization of 12337

12337 = 13 x 13 x 73

Step 2: Find the prime factorization of 12342

12342 = 2 x 3 x 11 x 11 x 17

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

LCM = 152263254 = 2 x 3 x 11 x 11 x 13 x 13 x 17 x 73

Step 4: Therefore, the least common multiple of 12337 and 12342 is 152263254.