Least Common Multiple of 12414 and 12422

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 12422 the smallest integer that is 77103354 that is divisible by both numbers.

Least Common Multiple (LCM) of 12414 and 12422 is 77103354.

LCM(12414,12422) = 77103354

LCM of 12414 and 12422

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

LCM of:
and

Least Common Multiple of 12414 and 12422

LCM of 12414 and 12422 is 77103354

Least common multiple can be found by multiplying the highest exponent prime factors of 12414 and 12422. First we will calculate the prime factors of 12414 and 12422.

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 12422


2 12422
6211 6211
1

Prime factors of 12422 are 2,6211. Prime factorization of 12422 in exponential form is:

12422 = 21×62111

Now multiplying the highest exponent prime factors to calculate the LCM of 12414 and 12422.

LCM(12414,12422) = 21×31×20691×62111
LCM(12414,12422) = 77103354

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 12422

List of positive integer factors of 12422 that divides 12422 without a remainder.

1, 2, 6211, 12422

Least Common Multiple of 12414 and 12422 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 12422, than apply into the LCM equation.

GCF(12414,12422) = 2
LCM(12414,12422) = ( 12414 × 12422) / 2
LCM(12414,12422) = 154206708 / 2
LCM(12414,12422) = 77103354

Properties of LCM 12414 and 12422

(i) The LCM of 12422 and 12414 is associative

LCM of 12414 and 12422 = LCM of 12422 and 12414

Related Least Common Multiples of 12414

Related Least Common Multiples of 12422

Frequently Asked Questions on LCM of 12414 and 12422

1. What is the LCM of 12414 and 12422?

Answer: LCM of 12414 and 12422 is 77103354.

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 12422?

Answer: Factors of 12422 are 1, 2, 6211, 12422. There are 4 integers that are factors of 12422. The greatest factor of 12422 is 12422.

4. How to Find the LCM of 12414 and 12422?

Answer:

Least Common Multiple of 12414 and 12422 = 77103354

Step 1: Find the prime factorization of 12414

12414 = 2 x 3 x 2069

Step 2: Find the prime factorization of 12422

12422 = 2 x 6211

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

LCM = 77103354 = 2 x 3 x 2069 x 6211

Step 4: Therefore, the least common multiple of 12414 and 12422 is 77103354.