Least Common Multiple of 12413 and 12415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12413 and 12415 the smallest integer that is 154107395 that is divisible by both numbers.

Least Common Multiple (LCM) of 12413 and 12415 is 154107395.

LCM(12413,12415) = 154107395

LCM of 12413 and 12415

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

LCM of:
and

Least Common Multiple of 12413 and 12415

LCM of 12413 and 12415 is 154107395

Least common multiple can be found by multiplying the highest exponent prime factors of 12413 and 12415. First we will calculate the prime factors of 12413 and 12415.

Prime Factorization of 12413


12413 12413
1

Prime factors of 12413 are 12413. Prime factorization of 12413 in exponential form is:

12413 = 124131

Prime Factorization of 12415


5 12415
13 2483
191 191
1

Prime factors of 12415 are 5, 13,191. Prime factorization of 12415 in exponential form is:

12415 = 51×131×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 12413 and 12415.

LCM(12413,12415) = 51×131×1911×124131
LCM(12413,12415) = 154107395

Factors of 12413

List of positive integer factors of 12413 that divides 12413 without a remainder.

1, 12413

Factors of 12415

List of positive integer factors of 12415 that divides 12415 without a remainder.

1, 5, 13, 65, 191, 955, 2483, 12415

Least Common Multiple of 12413 and 12415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12413 and 12415, than apply into the LCM equation.

GCF(12413,12415) = 1
LCM(12413,12415) = ( 12413 × 12415) / 1
LCM(12413,12415) = 154107395 / 1
LCM(12413,12415) = 154107395

Properties of LCM 12413 and 12415

(i) The LCM of 12415 and 12413 is associative

LCM of 12413 and 12415 = LCM of 12415 and 12413

Related Least Common Multiples of 12413

Related Least Common Multiples of 12415

Frequently Asked Questions on LCM of 12413 and 12415

1. What is the LCM of 12413 and 12415?

Answer: LCM of 12413 and 12415 is 154107395.

2. What are the Factors of 12413?

Answer: Factors of 12413 are 1, 12413. There are 2 integers that are factors of 12413. The greatest factor of 12413 is 12413.

3. What are the Factors of 12415?

Answer: Factors of 12415 are 1, 5, 13, 65, 191, 955, 2483, 12415. There are 8 integers that are factors of 12415. The greatest factor of 12415 is 12415.

4. How to Find the LCM of 12413 and 12415?

Answer:

Least Common Multiple of 12413 and 12415 = 154107395

Step 1: Find the prime factorization of 12413

12413 = 12413

Step 2: Find the prime factorization of 12415

12415 = 5 x 13 x 191

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

LCM = 154107395 = 5 x 13 x 191 x 12413

Step 4: Therefore, the least common multiple of 12413 and 12415 is 154107395.