Least Common Multiple of 12413 and 12420

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 12420 the smallest integer that is 154169460 that is divisible by both numbers.

Least Common Multiple (LCM) of 12413 and 12420 is 154169460.

LCM(12413,12420) = 154169460

LCM of 12413 and 12420

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

LCM of:
and

Least Common Multiple of 12413 and 12420

LCM of 12413 and 12420 is 154169460

Least common multiple can be found by multiplying the highest exponent prime factors of 12413 and 12420. First we will calculate the prime factors of 12413 and 12420.

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 12420


2 12420
2 6210
3 3105
3 1035
3 345
5 115
23 23
1

Prime factors of 12420 are 2, 3, 5,23. Prime factorization of 12420 in exponential form is:

12420 = 22×33×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 12413 and 12420.

LCM(12413,12420) = 22×33×51×231×124131
LCM(12413,12420) = 154169460

Factors of 12413

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

1, 12413

Factors of 12420

List of positive integer factors of 12420 that divides 12420 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 27, 30, 36, 45, 46, 54, 60, 69, 90, 92, 108, 115, 135, 138, 180, 207, 230, 270, 276, 345, 414, 460, 540, 621, 690, 828, 1035, 1242, 1380, 2070, 2484, 3105, 4140, 6210, 12420

Least Common Multiple of 12413 and 12420 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 12420, than apply into the LCM equation.

GCF(12413,12420) = 1
LCM(12413,12420) = ( 12413 × 12420) / 1
LCM(12413,12420) = 154169460 / 1
LCM(12413,12420) = 154169460

Properties of LCM 12413 and 12420

(i) The LCM of 12420 and 12413 is associative

LCM of 12413 and 12420 = LCM of 12420 and 12413

Related Least Common Multiples of 12413

Related Least Common Multiples of 12420

Frequently Asked Questions on LCM of 12413 and 12420

1. What is the LCM of 12413 and 12420?

Answer: LCM of 12413 and 12420 is 154169460.

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 12420?

Answer: Factors of 12420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 27, 30, 36, 45, 46, 54, 60, 69, 90, 92, 108, 115, 135, 138, 180, 207, 230, 270, 276, 345, 414, 460, 540, 621, 690, 828, 1035, 1242, 1380, 2070, 2484, 3105, 4140, 6210, 12420. There are 48 integers that are factors of 12420. The greatest factor of 12420 is 12420.

4. How to Find the LCM of 12413 and 12420?

Answer:

Least Common Multiple of 12413 and 12420 = 154169460

Step 1: Find the prime factorization of 12413

12413 = 12413

Step 2: Find the prime factorization of 12420

12420 = 2 x 2 x 3 x 3 x 3 x 5 x 23

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

LCM = 154169460 = 2 x 2 x 3 x 3 x 3 x 5 x 23 x 12413

Step 4: Therefore, the least common multiple of 12413 and 12420 is 154169460.