Least Common Multiple of 12329 and 12337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12329 and 12337 the smallest integer that is 152102873 that is divisible by both numbers.

Least Common Multiple (LCM) of 12329 and 12337 is 152102873.

LCM(12329,12337) = 152102873

LCM of 12329 and 12337

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

LCM of:
and

Least Common Multiple of 12329 and 12337

LCM of 12329 and 12337 is 152102873

Least common multiple can be found by multiplying the highest exponent prime factors of 12329 and 12337. First we will calculate the prime factors of 12329 and 12337.

Prime Factorization of 12329


12329 12329
1

Prime factors of 12329 are 12329. Prime factorization of 12329 in exponential form is:

12329 = 123291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 12329 and 12337.

LCM(12329,12337) = 132×731×123291
LCM(12329,12337) = 152102873

Factors of 12329

List of positive integer factors of 12329 that divides 12329 without a remainder.

1, 12329

Factors of 12337

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

1, 13, 73, 169, 949, 12337

Least Common Multiple of 12329 and 12337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12329 and 12337, than apply into the LCM equation.

GCF(12329,12337) = 1
LCM(12329,12337) = ( 12329 × 12337) / 1
LCM(12329,12337) = 152102873 / 1
LCM(12329,12337) = 152102873

Properties of LCM 12329 and 12337

(i) The LCM of 12337 and 12329 is associative

LCM of 12329 and 12337 = LCM of 12337 and 12329

Related Least Common Multiples of 12329

Related Least Common Multiples of 12337

Frequently Asked Questions on LCM of 12329 and 12337

1. What is the LCM of 12329 and 12337?

Answer: LCM of 12329 and 12337 is 152102873.

2. What are the Factors of 12329?

Answer: Factors of 12329 are 1, 12329. There are 2 integers that are factors of 12329. The greatest factor of 12329 is 12329.

3. 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.

4. How to Find the LCM of 12329 and 12337?

Answer:

Least Common Multiple of 12329 and 12337 = 152102873

Step 1: Find the prime factorization of 12329

12329 = 12329

Step 2: Find the prime factorization of 12337

12337 = 13 x 13 x 73

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

LCM = 152102873 = 13 x 13 x 73 x 12329

Step 4: Therefore, the least common multiple of 12329 and 12337 is 152102873.