Least Common Multiple of 9414 and 9418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9414 and 9418 the smallest integer that is 44330526 that is divisible by both numbers.

Least Common Multiple (LCM) of 9414 and 9418 is 44330526.

LCM(9414,9418) = 44330526

LCM of 9414 and 9418

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

LCM of:
and

Least Common Multiple of 9414 and 9418

LCM of 9414 and 9418 is 44330526

Least common multiple can be found by multiplying the highest exponent prime factors of 9414 and 9418. First we will calculate the prime factors of 9414 and 9418.

Prime Factorization of 9414


2 9414
3 4707
3 1569
523 523
1

Prime factors of 9414 are 2, 3,523. Prime factorization of 9414 in exponential form is:

9414 = 21×32×5231

Prime Factorization of 9418


2 9418
17 4709
277 277
1

Prime factors of 9418 are 2, 17,277. Prime factorization of 9418 in exponential form is:

9418 = 21×171×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 9414 and 9418.

LCM(9414,9418) = 21×32×171×2771×5231
LCM(9414,9418) = 44330526

Factors of 9414

List of positive integer factors of 9414 that divides 9414 without a remainder.

1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414

Factors of 9418

List of positive integer factors of 9418 that divides 9418 without a remainder.

1, 2, 17, 34, 277, 554, 4709, 9418

Least Common Multiple of 9414 and 9418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9414 and 9418, than apply into the LCM equation.

GCF(9414,9418) = 2
LCM(9414,9418) = ( 9414 × 9418) / 2
LCM(9414,9418) = 88661052 / 2
LCM(9414,9418) = 44330526

Properties of LCM 9414 and 9418

(i) The LCM of 9418 and 9414 is associative

LCM of 9414 and 9418 = LCM of 9418 and 9414

Related Least Common Multiples of 9414

Related Least Common Multiples of 9418

Frequently Asked Questions on LCM of 9414 and 9418

1. What is the LCM of 9414 and 9418?

Answer: LCM of 9414 and 9418 is 44330526.

2. What are the Factors of 9414?

Answer: Factors of 9414 are 1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414. There are 12 integers that are factors of 9414. The greatest factor of 9414 is 9414.

3. What are the Factors of 9418?

Answer: Factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418. There are 8 integers that are factors of 9418. The greatest factor of 9418 is 9418.

4. How to Find the LCM of 9414 and 9418?

Answer:

Least Common Multiple of 9414 and 9418 = 44330526

Step 1: Find the prime factorization of 9414

9414 = 2 x 3 x 3 x 523

Step 2: Find the prime factorization of 9418

9418 = 2 x 17 x 277

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

LCM = 44330526 = 2 x 3 x 3 x 17 x 277 x 523

Step 4: Therefore, the least common multiple of 9414 and 9418 is 44330526.