Least Common Multiple of 9412 and 9417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9412 and 9417 the smallest integer that is 88632804 that is divisible by both numbers.

Least Common Multiple (LCM) of 9412 and 9417 is 88632804.

LCM(9412,9417) = 88632804

LCM of 9412 and 9417

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

LCM of:
and

Least Common Multiple of 9412 and 9417

LCM of 9412 and 9417 is 88632804

Least common multiple can be found by multiplying the highest exponent prime factors of 9412 and 9417. First we will calculate the prime factors of 9412 and 9417.

Prime Factorization of 9412


2 9412
2 4706
13 2353
181 181
1

Prime factors of 9412 are 2, 13,181. Prime factorization of 9412 in exponential form is:

9412 = 22×131×1811

Prime Factorization of 9417


3 9417
43 3139
73 73
1

Prime factors of 9417 are 3, 43,73. Prime factorization of 9417 in exponential form is:

9417 = 31×431×731

Now multiplying the highest exponent prime factors to calculate the LCM of 9412 and 9417.

LCM(9412,9417) = 22×31×131×431×731×1811
LCM(9412,9417) = 88632804

Factors of 9412

List of positive integer factors of 9412 that divides 9412 without a remainder.

1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412

Factors of 9417

List of positive integer factors of 9417 that divides 9417 without a remainder.

1, 3, 43, 73, 129, 219, 3139, 9417

Least Common Multiple of 9412 and 9417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9412 and 9417, than apply into the LCM equation.

GCF(9412,9417) = 1
LCM(9412,9417) = ( 9412 × 9417) / 1
LCM(9412,9417) = 88632804 / 1
LCM(9412,9417) = 88632804

Properties of LCM 9412 and 9417

(i) The LCM of 9417 and 9412 is associative

LCM of 9412 and 9417 = LCM of 9417 and 9412

Related Least Common Multiples of 9412

Related Least Common Multiples of 9417

Frequently Asked Questions on LCM of 9412 and 9417

1. What is the LCM of 9412 and 9417?

Answer: LCM of 9412 and 9417 is 88632804.

2. What are the Factors of 9412?

Answer: Factors of 9412 are 1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412. There are 12 integers that are factors of 9412. The greatest factor of 9412 is 9412.

3. What are the Factors of 9417?

Answer: Factors of 9417 are 1, 3, 43, 73, 129, 219, 3139, 9417. There are 8 integers that are factors of 9417. The greatest factor of 9417 is 9417.

4. How to Find the LCM of 9412 and 9417?

Answer:

Least Common Multiple of 9412 and 9417 = 88632804

Step 1: Find the prime factorization of 9412

9412 = 2 x 2 x 13 x 181

Step 2: Find the prime factorization of 9417

9417 = 3 x 43 x 73

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

LCM = 88632804 = 2 x 2 x 3 x 13 x 43 x 73 x 181

Step 4: Therefore, the least common multiple of 9412 and 9417 is 88632804.