Least Common Multiple of 9447 and 9454

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

• Least Common Multiple of 9447 and 9454 by Prime method
• Least Common Multiple of 9447 and 9454 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9447 and 9454. First we will calculate the prime factors of 9447 and 9454.

Prime Factorization of 9447

Prime factors of 9447 are 3, 47,67. Prime factorization of 9447 in exponential form is:

9447 = 3¹×47¹×67¹

Prime Factorization of 9454

Prime factors of 9454 are 2, 29,163. Prime factorization of 9454 in exponential form is:

9454 = 2¹×29¹×163¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9447 and 9454.

LCM(9447,9454) = 2¹×3¹×29¹×47¹×67¹×163¹
LCM(9447,9454) = 89311938

Factors of 9447

List of positive integer factors of 9447 that divides 9447 without a remainder.

1, 3, 47, 67, 141, 201, 3149, 9447

Factors of 9454

List of positive integer factors of 9454 that divides 9454 without a remainder.

1, 2, 29, 58, 163, 326, 4727, 9454

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9447 and 9454, than apply into the LCM equation.

GCF(9447,9454) = 1
LCM(9447,9454) = ( 9447 × 9454) / 1
LCM(9447,9454) = 89311938 / 1
LCM(9447,9454) = 89311938

(i) The LCM of 9454 and 9447 is associative

LCM of 9447 and 9454 = LCM of 9454 and 9447

1. What is the LCM of 9447 and 9454?

Answer: LCM of 9447 and 9454 is 89311938.

2. What are the Factors of 9447?

Answer: Factors of 9447 are 1, 3, 47, 67, 141, 201, 3149, 9447. There are 8 integers that are factors of 9447. The greatest factor of 9447 is 9447.

3. What are the Factors of 9454?

Answer: Factors of 9454 are 1, 2, 29, 58, 163, 326, 4727, 9454. There are 8 integers that are factors of 9454. The greatest factor of 9454 is 9454.

4. How to Find the LCM of 9447 and 9454?

Answer:

Least Common Multiple of 9447 and 9454 = 89311938

Step 1: Find the prime factorization of 9447

9447 = 3 x 47 x 67

Step 2: Find the prime factorization of 9454

9454 = 2 x 29 x 163

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

LCM = 89311938 = 2 x 3 x 29 x 47 x 67 x 163

Step 4: Therefore, the least common multiple of 9447 and 9454 is 89311938.