Least Common Multiple of 9416 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 9416 and 9423 the smallest integer that is 88726968 that is divisible by both numbers.

Least Common Multiple (LCM) of 9416 and 9423 is 88726968.

LCM(9416,9423) = 88726968

LCM of 9416 and 9423

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

LCM of:
and

Least Common Multiple of 9416 and 9423

LCM of 9416 and 9423 is 88726968

Least common multiple can be found by multiplying the highest exponent prime factors of 9416 and 9423. First we will calculate the prime factors of 9416 and 9423.

Prime Factorization of 9416


2 9416
2 4708
2 2354
11 1177
107 107
1

Prime factors of 9416 are 2, 11,107. Prime factorization of 9416 in exponential form is:

9416 = 23×111×1071

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 9416 and 9423.

LCM(9416,9423) = 23×33×111×1071×3491
LCM(9416,9423) = 88726968

Factors of 9416

List of positive integer factors of 9416 that divides 9416 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416

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 9416 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 9416 and 9423, than apply into the LCM equation.

GCF(9416,9423) = 1
LCM(9416,9423) = ( 9416 × 9423) / 1
LCM(9416,9423) = 88726968 / 1
LCM(9416,9423) = 88726968

Properties of LCM 9416 and 9423

(i) The LCM of 9423 and 9416 is associative

LCM of 9416 and 9423 = LCM of 9423 and 9416

Related Least Common Multiples of 9416

Related Least Common Multiples of 9423

Frequently Asked Questions on LCM of 9416 and 9423

1. What is the LCM of 9416 and 9423?

Answer: LCM of 9416 and 9423 is 88726968.

2. What are the Factors of 9416?

Answer: Factors of 9416 are 1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416. There are 16 integers that are factors of 9416. The greatest factor of 9416 is 9416.

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 9416 and 9423?

Answer:

Least Common Multiple of 9416 and 9423 = 88726968

Step 1: Find the prime factorization of 9416

9416 = 2 x 2 x 2 x 11 x 107

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 = 88726968 = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 107 x 349

Step 4: Therefore, the least common multiple of 9416 and 9423 is 88726968.