Least Common Multiple of 9447 and 9455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9447 and 9455 the smallest integer that is 89321385 that is divisible by both numbers.

Least Common Multiple (LCM) of 9447 and 9455 is 89321385.

LCM(9447,9455) = 89321385

LCM of 9447 and 9455

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

LCM of:
and

Least Common Multiple of 9447 and 9455

LCM of 9447 and 9455 is 89321385

Least common multiple can be found by multiplying the highest exponent prime factors of 9447 and 9455. First we will calculate the prime factors of 9447 and 9455.

Prime Factorization of 9447


3 9447
47 3149
67 67
1

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

9447 = 31×471×671

Prime Factorization of 9455


5 9455
31 1891
61 61
1

Prime factors of 9455 are 5, 31,61. Prime factorization of 9455 in exponential form is:

9455 = 51×311×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9447 and 9455.

LCM(9447,9455) = 31×51×311×471×611×671
LCM(9447,9455) = 89321385

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 9455

List of positive integer factors of 9455 that divides 9455 without a remainder.

1, 5, 31, 61, 155, 305, 1891, 9455

Least Common Multiple of 9447 and 9455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9447 and 9455, than apply into the LCM equation.

GCF(9447,9455) = 1
LCM(9447,9455) = ( 9447 × 9455) / 1
LCM(9447,9455) = 89321385 / 1
LCM(9447,9455) = 89321385

Properties of LCM 9447 and 9455

(i) The LCM of 9455 and 9447 is associative

LCM of 9447 and 9455 = LCM of 9455 and 9447

Related Least Common Multiples of 9447

Related Least Common Multiples of 9455

Frequently Asked Questions on LCM of 9447 and 9455

1. What is the LCM of 9447 and 9455?

Answer: LCM of 9447 and 9455 is 89321385.

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 9455?

Answer: Factors of 9455 are 1, 5, 31, 61, 155, 305, 1891, 9455. There are 8 integers that are factors of 9455. The greatest factor of 9455 is 9455.

4. How to Find the LCM of 9447 and 9455?

Answer:

Least Common Multiple of 9447 and 9455 = 89321385

Step 1: Find the prime factorization of 9447

9447 = 3 x 47 x 67

Step 2: Find the prime factorization of 9455

9455 = 5 x 31 x 61

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

LCM = 89321385 = 3 x 5 x 31 x 47 x 61 x 67

Step 4: Therefore, the least common multiple of 9447 and 9455 is 89321385.