Least Common Multiple of 11412 and 11417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11412 and 11417 the smallest integer that is 130290804 that is divisible by both numbers.

Least Common Multiple (LCM) of 11412 and 11417 is 130290804.

LCM(11412,11417) = 130290804

LCM of 11412 and 11417

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

LCM of:
and

Least Common Multiple of 11412 and 11417

LCM of 11412 and 11417 is 130290804

Least common multiple can be found by multiplying the highest exponent prime factors of 11412 and 11417. First we will calculate the prime factors of 11412 and 11417.

Prime Factorization of 11412


2 11412
2 5706
3 2853
3 951
317 317
1

Prime factors of 11412 are 2, 3,317. Prime factorization of 11412 in exponential form is:

11412 = 22×32×3171

Prime Factorization of 11417


7 11417
7 1631
233 233
1

Prime factors of 11417 are 7,233. Prime factorization of 11417 in exponential form is:

11417 = 72×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 11412 and 11417.

LCM(11412,11417) = 22×32×72×2331×3171
LCM(11412,11417) = 130290804

Factors of 11412

List of positive integer factors of 11412 that divides 11412 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 317, 634, 951, 1268, 1902, 2853, 3804, 5706, 11412

Factors of 11417

List of positive integer factors of 11417 that divides 11417 without a remainder.

1, 7, 49, 233, 1631, 11417

Least Common Multiple of 11412 and 11417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11412 and 11417, than apply into the LCM equation.

GCF(11412,11417) = 1
LCM(11412,11417) = ( 11412 × 11417) / 1
LCM(11412,11417) = 130290804 / 1
LCM(11412,11417) = 130290804

Properties of LCM 11412 and 11417

(i) The LCM of 11417 and 11412 is associative

LCM of 11412 and 11417 = LCM of 11417 and 11412

Related Least Common Multiples of 11412

Related Least Common Multiples of 11417

Frequently Asked Questions on LCM of 11412 and 11417

1. What is the LCM of 11412 and 11417?

Answer: LCM of 11412 and 11417 is 130290804.

2. What are the Factors of 11412?

Answer: Factors of 11412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 317, 634, 951, 1268, 1902, 2853, 3804, 5706, 11412. There are 18 integers that are factors of 11412. The greatest factor of 11412 is 11412.

3. What are the Factors of 11417?

Answer: Factors of 11417 are 1, 7, 49, 233, 1631, 11417. There are 6 integers that are factors of 11417. The greatest factor of 11417 is 11417.

4. How to Find the LCM of 11412 and 11417?

Answer:

Least Common Multiple of 11412 and 11417 = 130290804

Step 1: Find the prime factorization of 11412

11412 = 2 x 2 x 3 x 3 x 317

Step 2: Find the prime factorization of 11417

11417 = 7 x 7 x 233

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

LCM = 130290804 = 2 x 2 x 3 x 3 x 7 x 7 x 233 x 317

Step 4: Therefore, the least common multiple of 11412 and 11417 is 130290804.