Least Common Multiple of 12315 and 12321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12315 and 12321 the smallest integer that is 50577705 that is divisible by both numbers.

Least Common Multiple (LCM) of 12315 and 12321 is 50577705.

LCM(12315,12321) = 50577705

LCM of 12315 and 12321

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

LCM of:
and

Least Common Multiple of 12315 and 12321

LCM of 12315 and 12321 is 50577705

Least common multiple can be found by multiplying the highest exponent prime factors of 12315 and 12321. First we will calculate the prime factors of 12315 and 12321.

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

Prime Factorization of 12321


3 12321
3 4107
37 1369
37 37
1

Prime factors of 12321 are 3,37. Prime factorization of 12321 in exponential form is:

12321 = 32×372

Now multiplying the highest exponent prime factors to calculate the LCM of 12315 and 12321.

LCM(12315,12321) = 32×51×372×8211
LCM(12315,12321) = 50577705

Factors of 12315

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

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

Factors of 12321

List of positive integer factors of 12321 that divides 12321 without a remainder.

1, 3, 9, 37, 111, 333, 1369, 4107, 12321

Least Common Multiple of 12315 and 12321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12315 and 12321, than apply into the LCM equation.

GCF(12315,12321) = 3
LCM(12315,12321) = ( 12315 × 12321) / 3
LCM(12315,12321) = 151733115 / 3
LCM(12315,12321) = 50577705

Properties of LCM 12315 and 12321

(i) The LCM of 12321 and 12315 is associative

LCM of 12315 and 12321 = LCM of 12321 and 12315

Related Least Common Multiples of 12315

Related Least Common Multiples of 12321

Frequently Asked Questions on LCM of 12315 and 12321

1. What is the LCM of 12315 and 12321?

Answer: LCM of 12315 and 12321 is 50577705.

2. 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.

3. What are the Factors of 12321?

Answer: Factors of 12321 are 1, 3, 9, 37, 111, 333, 1369, 4107, 12321. There are 9 integers that are factors of 12321. The greatest factor of 12321 is 12321.

4. How to Find the LCM of 12315 and 12321?

Answer:

Least Common Multiple of 12315 and 12321 = 50577705

Step 1: Find the prime factorization of 12315

12315 = 3 x 5 x 821

Step 2: Find the prime factorization of 12321

12321 = 3 x 3 x 37 x 37

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

LCM = 50577705 = 3 x 3 x 5 x 37 x 37 x 821

Step 4: Therefore, the least common multiple of 12315 and 12321 is 50577705.