Least Common Multiple of 9418 and 9422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9418 and 9422 the smallest integer that is 44368198 that is divisible by both numbers.

Least Common Multiple (LCM) of 9418 and 9422 is 44368198.

LCM(9418,9422) = 44368198

LCM of 9418 and 9422

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

LCM of:
and

Least Common Multiple of 9418 and 9422

LCM of 9418 and 9422 is 44368198

Least common multiple can be found by multiplying the highest exponent prime factors of 9418 and 9422. First we will calculate the prime factors of 9418 and 9422.

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

Prime Factorization of 9422


2 9422
7 4711
673 673
1

Prime factors of 9422 are 2, 7,673. Prime factorization of 9422 in exponential form is:

9422 = 21×71×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 9418 and 9422.

LCM(9418,9422) = 21×71×171×2771×6731
LCM(9418,9422) = 44368198

Factors of 9418

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

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

Factors of 9422

List of positive integer factors of 9422 that divides 9422 without a remainder.

1, 2, 7, 14, 673, 1346, 4711, 9422

Least Common Multiple of 9418 and 9422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9418 and 9422, than apply into the LCM equation.

GCF(9418,9422) = 2
LCM(9418,9422) = ( 9418 × 9422) / 2
LCM(9418,9422) = 88736396 / 2
LCM(9418,9422) = 44368198

Properties of LCM 9418 and 9422

(i) The LCM of 9422 and 9418 is associative

LCM of 9418 and 9422 = LCM of 9422 and 9418

Related Least Common Multiples of 9418

Related Least Common Multiples of 9422

Frequently Asked Questions on LCM of 9418 and 9422

1. What is the LCM of 9418 and 9422?

Answer: LCM of 9418 and 9422 is 44368198.

2. 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.

3. What are the Factors of 9422?

Answer: Factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422. There are 8 integers that are factors of 9422. The greatest factor of 9422 is 9422.

4. How to Find the LCM of 9418 and 9422?

Answer:

Least Common Multiple of 9418 and 9422 = 44368198

Step 1: Find the prime factorization of 9418

9418 = 2 x 17 x 277

Step 2: Find the prime factorization of 9422

9422 = 2 x 7 x 673

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

LCM = 44368198 = 2 x 7 x 17 x 277 x 673

Step 4: Therefore, the least common multiple of 9418 and 9422 is 44368198.