Least Common Multiple of 12411 and 12413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 12411 and 12413 the smallest integer that is 154057743 that is divisible by both numbers.

Least Common Multiple (LCM) of 12411 and 12413 is 154057743.

LCM(12411,12413) = 154057743

LCM of 12411 and 12413

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

LCM of:
and

Least Common Multiple of 12411 and 12413

LCM of 12411 and 12413 is 154057743

Least common multiple can be found by multiplying the highest exponent prime factors of 12411 and 12413. First we will calculate the prime factors of 12411 and 12413.

Prime Factorization of 12411


3 12411
3 4137
7 1379
197 197
1

Prime factors of 12411 are 3, 7,197. Prime factorization of 12411 in exponential form is:

12411 = 32×71×1971

Prime Factorization of 12413


12413 12413
1

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

12413 = 124131

Now multiplying the highest exponent prime factors to calculate the LCM of 12411 and 12413.

LCM(12411,12413) = 32×71×1971×124131
LCM(12411,12413) = 154057743

Factors of 12411

List of positive integer factors of 12411 that divides 12411 without a remainder.

1, 3, 7, 9, 21, 63, 197, 591, 1379, 1773, 4137, 12411

Factors of 12413

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

1, 12413

Least Common Multiple of 12411 and 12413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12411 and 12413, than apply into the LCM equation.

GCF(12411,12413) = 1
LCM(12411,12413) = ( 12411 × 12413) / 1
LCM(12411,12413) = 154057743 / 1
LCM(12411,12413) = 154057743

Properties of LCM 12411 and 12413

(i) The LCM of 12413 and 12411 is associative

LCM of 12411 and 12413 = LCM of 12413 and 12411

Frequently Asked Questions on LCM of 12411 and 12413

1. What is the LCM of 12411 and 12413?

Answer: LCM of 12411 and 12413 is 154057743.

2. What are the Factors of 12411?

Answer: Factors of 12411 are 1, 3, 7, 9, 21, 63, 197, 591, 1379, 1773, 4137, 12411. There are 12 integers that are factors of 12411. The greatest factor of 12411 is 12411.

3. 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.

4. How to Find the LCM of 12411 and 12413?

Answer:

Least Common Multiple of 12411 and 12413 = 154057743

Step 1: Find the prime factorization of 12411

12411 = 3 x 3 x 7 x 197

Step 2: Find the prime factorization of 12413

12413 = 12413

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

LCM = 154057743 = 3 x 3 x 7 x 197 x 12413

Step 4: Therefore, the least common multiple of 12411 and 12413 is 154057743.