Least Common Multiple of 12304 and 12309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12304 and 12309 the smallest integer that is 151449936 that is divisible by both numbers.

Least Common Multiple (LCM) of 12304 and 12309 is 151449936.

LCM(12304,12309) = 151449936

LCM of 12304 and 12309

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

LCM of:
and

Least Common Multiple of 12304 and 12309

LCM of 12304 and 12309 is 151449936

Least common multiple can be found by multiplying the highest exponent prime factors of 12304 and 12309. First we will calculate the prime factors of 12304 and 12309.

Prime Factorization of 12304


2 12304
2 6152
2 3076
2 1538
769 769
1

Prime factors of 12304 are 2,769. Prime factorization of 12304 in exponential form is:

12304 = 24×7691

Prime Factorization of 12309


3 12309
11 4103
373 373
1

Prime factors of 12309 are 3, 11,373. Prime factorization of 12309 in exponential form is:

12309 = 31×111×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 12304 and 12309.

LCM(12304,12309) = 24×31×111×3731×7691
LCM(12304,12309) = 151449936

Factors of 12304

List of positive integer factors of 12304 that divides 12304 without a remainder.

1, 2, 4, 8, 16, 769, 1538, 3076, 6152, 12304

Factors of 12309

List of positive integer factors of 12309 that divides 12309 without a remainder.

1, 3, 11, 33, 373, 1119, 4103, 12309

Least Common Multiple of 12304 and 12309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12304 and 12309, than apply into the LCM equation.

GCF(12304,12309) = 1
LCM(12304,12309) = ( 12304 × 12309) / 1
LCM(12304,12309) = 151449936 / 1
LCM(12304,12309) = 151449936

Properties of LCM 12304 and 12309

(i) The LCM of 12309 and 12304 is associative

LCM of 12304 and 12309 = LCM of 12309 and 12304

Related Least Common Multiples of 12304

Related Least Common Multiples of 12309

Frequently Asked Questions on LCM of 12304 and 12309

1. What is the LCM of 12304 and 12309?

Answer: LCM of 12304 and 12309 is 151449936.

2. What are the Factors of 12304?

Answer: Factors of 12304 are 1, 2, 4, 8, 16, 769, 1538, 3076, 6152, 12304. There are 10 integers that are factors of 12304. The greatest factor of 12304 is 12304.

3. What are the Factors of 12309?

Answer: Factors of 12309 are 1, 3, 11, 33, 373, 1119, 4103, 12309. There are 8 integers that are factors of 12309. The greatest factor of 12309 is 12309.

4. How to Find the LCM of 12304 and 12309?

Answer:

Least Common Multiple of 12304 and 12309 = 151449936

Step 1: Find the prime factorization of 12304

12304 = 2 x 2 x 2 x 2 x 769

Step 2: Find the prime factorization of 12309

12309 = 3 x 11 x 373

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

LCM = 151449936 = 2 x 2 x 2 x 2 x 3 x 11 x 373 x 769

Step 4: Therefore, the least common multiple of 12304 and 12309 is 151449936.