Least Common Multiple of 9418 and 9423

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 9423 the smallest integer that is 88745814 that is divisible by both numbers.

Least Common Multiple (LCM) of 9418 and 9423 is 88745814.

LCM(9418,9423) = 88745814

LCM of 9418 and 9423

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

LCM of:
and

Least Common Multiple of 9418 and 9423

LCM of 9418 and 9423 is 88745814

Least common multiple can be found by multiplying the highest exponent prime factors of 9418 and 9423. First we will calculate the prime factors of 9418 and 9423.

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 9423


3 9423
3 3141
3 1047
349 349
1

Prime factors of 9423 are 3,349. Prime factorization of 9423 in exponential form is:

9423 = 33×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 9418 and 9423.

LCM(9418,9423) = 21×33×171×2771×3491
LCM(9418,9423) = 88745814

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 9423

List of positive integer factors of 9423 that divides 9423 without a remainder.

1, 3, 9, 27, 349, 1047, 3141, 9423

Least Common Multiple of 9418 and 9423 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 9423, than apply into the LCM equation.

GCF(9418,9423) = 1
LCM(9418,9423) = ( 9418 × 9423) / 1
LCM(9418,9423) = 88745814 / 1
LCM(9418,9423) = 88745814

Properties of LCM 9418 and 9423

(i) The LCM of 9423 and 9418 is associative

LCM of 9418 and 9423 = LCM of 9423 and 9418

Related Least Common Multiples of 9418

Related Least Common Multiples of 9423

Frequently Asked Questions on LCM of 9418 and 9423

1. What is the LCM of 9418 and 9423?

Answer: LCM of 9418 and 9423 is 88745814.

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 9423?

Answer: Factors of 9423 are 1, 3, 9, 27, 349, 1047, 3141, 9423. There are 8 integers that are factors of 9423. The greatest factor of 9423 is 9423.

4. How to Find the LCM of 9418 and 9423?

Answer:

Least Common Multiple of 9418 and 9423 = 88745814

Step 1: Find the prime factorization of 9418

9418 = 2 x 17 x 277

Step 2: Find the prime factorization of 9423

9423 = 3 x 3 x 3 x 349

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

LCM = 88745814 = 2 x 3 x 3 x 3 x 17 x 277 x 349

Step 4: Therefore, the least common multiple of 9418 and 9423 is 88745814.