Least Common Multiple of 12414 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 12414 and 12420 the smallest integer that is 25696980 that is divisible by both numbers.

Least Common Multiple (LCM) of 12414 and 12420 is 25696980.

LCM(12414,12420) = 25696980

LCM of 12414 and 12420

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

LCM of:
and

Least Common Multiple of 12414 and 12420

LCM of 12414 and 12420 is 25696980

Least common multiple can be found by multiplying the highest exponent prime factors of 12414 and 12420. First we will calculate the prime factors of 12414 and 12420.

Prime Factorization of 12414


2 12414
3 6207
2069 2069
1

Prime factors of 12414 are 2, 3,2069. Prime factorization of 12414 in exponential form is:

12414 = 21×31×20691

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 12414 and 12420.

LCM(12414,12420) = 22×33×51×231×20691
LCM(12414,12420) = 25696980

Factors of 12414

List of positive integer factors of 12414 that divides 12414 without a remainder.

1, 2, 3, 6, 2069, 4138, 6207, 12414

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 12414 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 12414 and 12420, than apply into the LCM equation.

GCF(12414,12420) = 6
LCM(12414,12420) = ( 12414 × 12420) / 6
LCM(12414,12420) = 154181880 / 6
LCM(12414,12420) = 25696980

Properties of LCM 12414 and 12420

(i) The LCM of 12420 and 12414 is associative

LCM of 12414 and 12420 = LCM of 12420 and 12414

Related Least Common Multiples of 12414

Related Least Common Multiples of 12420

Frequently Asked Questions on LCM of 12414 and 12420

1. What is the LCM of 12414 and 12420?

Answer: LCM of 12414 and 12420 is 25696980.

2. What are the Factors of 12414?

Answer: Factors of 12414 are 1, 2, 3, 6, 2069, 4138, 6207, 12414. There are 8 integers that are factors of 12414. The greatest factor of 12414 is 12414.

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 12414 and 12420?

Answer:

Least Common Multiple of 12414 and 12420 = 25696980

Step 1: Find the prime factorization of 12414

12414 = 2 x 3 x 2069

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 = 25696980 = 2 x 2 x 3 x 3 x 3 x 5 x 23 x 2069

Step 4: Therefore, the least common multiple of 12414 and 12420 is 25696980.