Least Common Multiple of 9408 and 9412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9408 and 9412 the smallest integer that is 22137024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9408 and 9412 is 22137024.

LCM(9408,9412) = 22137024

LCM of 9408 and 9412

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

LCM of:
and

Least Common Multiple of 9408 and 9412

LCM of 9408 and 9412 is 22137024

Least common multiple can be found by multiplying the highest exponent prime factors of 9408 and 9412. First we will calculate the prime factors of 9408 and 9412.

Prime Factorization of 9408


2 9408
2 4704
2 2352
2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 9408 are 2, 3,7. Prime factorization of 9408 in exponential form is:

9408 = 26×31×72

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9408 and 9412.

LCM(9408,9412) = 26×31×72×131×1811
LCM(9408,9412) = 22137024

Factors of 9408

List of positive integer factors of 9408 that divides 9408 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408

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

Least Common Multiple of 9408 and 9412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9408 and 9412, than apply into the LCM equation.

GCF(9408,9412) = 4
LCM(9408,9412) = ( 9408 × 9412) / 4
LCM(9408,9412) = 88548096 / 4
LCM(9408,9412) = 22137024

Properties of LCM 9408 and 9412

(i) The LCM of 9412 and 9408 is associative

LCM of 9408 and 9412 = LCM of 9412 and 9408

Related Least Common Multiples of 9408

Related Least Common Multiples of 9412

Frequently Asked Questions on LCM of 9408 and 9412

1. What is the LCM of 9408 and 9412?

Answer: LCM of 9408 and 9412 is 22137024.

2. What are the Factors of 9408?

Answer: Factors of 9408 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408. There are 42 integers that are factors of 9408. The greatest factor of 9408 is 9408.

3. 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.

4. How to Find the LCM of 9408 and 9412?

Answer:

Least Common Multiple of 9408 and 9412 = 22137024

Step 1: Find the prime factorization of 9408

9408 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 9412

9412 = 2 x 2 x 13 x 181

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

LCM = 22137024 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 13 x 181

Step 4: Therefore, the least common multiple of 9408 and 9412 is 22137024.