Least Common Multiple of 12309 and 12315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12309 and 12315 the smallest integer that is 50528445 that is divisible by both numbers.

Least Common Multiple (LCM) of 12309 and 12315 is 50528445.

LCM(12309,12315) = 50528445

LCM of 12309 and 12315

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

LCM of:
and

Least Common Multiple of 12309 and 12315

LCM of 12309 and 12315 is 50528445

Least common multiple can be found by multiplying the highest exponent prime factors of 12309 and 12315. First we will calculate the prime factors of 12309 and 12315.

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

Prime Factorization of 12315


3 12315
5 4105
821 821
1

Prime factors of 12315 are 3, 5,821. Prime factorization of 12315 in exponential form is:

12315 = 31×51×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 12309 and 12315.

LCM(12309,12315) = 31×51×111×3731×8211
LCM(12309,12315) = 50528445

Factors of 12309

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

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

Factors of 12315

List of positive integer factors of 12315 that divides 12315 without a remainder.

1, 3, 5, 15, 821, 2463, 4105, 12315

Least Common Multiple of 12309 and 12315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12309 and 12315, than apply into the LCM equation.

GCF(12309,12315) = 3
LCM(12309,12315) = ( 12309 × 12315) / 3
LCM(12309,12315) = 151585335 / 3
LCM(12309,12315) = 50528445

Properties of LCM 12309 and 12315

(i) The LCM of 12315 and 12309 is associative

LCM of 12309 and 12315 = LCM of 12315 and 12309

Related Least Common Multiples of 12309

Related Least Common Multiples of 12315

Frequently Asked Questions on LCM of 12309 and 12315

1. What is the LCM of 12309 and 12315?

Answer: LCM of 12309 and 12315 is 50528445.

2. 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.

3. What are the Factors of 12315?

Answer: Factors of 12315 are 1, 3, 5, 15, 821, 2463, 4105, 12315. There are 8 integers that are factors of 12315. The greatest factor of 12315 is 12315.

4. How to Find the LCM of 12309 and 12315?

Answer:

Least Common Multiple of 12309 and 12315 = 50528445

Step 1: Find the prime factorization of 12309

12309 = 3 x 11 x 373

Step 2: Find the prime factorization of 12315

12315 = 3 x 5 x 821

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

LCM = 50528445 = 3 x 5 x 11 x 373 x 821

Step 4: Therefore, the least common multiple of 12309 and 12315 is 50528445.