Least Common Multiple of 12415 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 12415 and 12422 the smallest integer that is 154219130 that is divisible by both numbers.

Least Common Multiple (LCM) of 12415 and 12422 is 154219130.

LCM(12415,12422) = 154219130

LCM of 12415 and 12422

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

LCM of:
and

Least Common Multiple of 12415 and 12422

LCM of 12415 and 12422 is 154219130

Least common multiple can be found by multiplying the highest exponent prime factors of 12415 and 12422. First we will calculate the prime factors of 12415 and 12422.

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

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 12415 and 12422.

LCM(12415,12422) = 21×51×131×1911×62111
LCM(12415,12422) = 154219130

Factors of 12415

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

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

Factors of 12422

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

1, 2, 6211, 12422

Least Common Multiple of 12415 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 12415 and 12422, than apply into the LCM equation.

GCF(12415,12422) = 1
LCM(12415,12422) = ( 12415 × 12422) / 1
LCM(12415,12422) = 154219130 / 1
LCM(12415,12422) = 154219130

Properties of LCM 12415 and 12422

(i) The LCM of 12422 and 12415 is associative

LCM of 12415 and 12422 = LCM of 12422 and 12415

Related Least Common Multiples of 12415

Related Least Common Multiples of 12422

Frequently Asked Questions on LCM of 12415 and 12422

1. What is the LCM of 12415 and 12422?

Answer: LCM of 12415 and 12422 is 154219130.

2. 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.

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 12415 and 12422?

Answer:

Least Common Multiple of 12415 and 12422 = 154219130

Step 1: Find the prime factorization of 12415

12415 = 5 x 13 x 191

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 = 154219130 = 2 x 5 x 13 x 191 x 6211

Step 4: Therefore, the least common multiple of 12415 and 12422 is 154219130.