Least Common Multiple of 9473 and 9477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9473 and 9477 the smallest integer that is 89775621 that is divisible by both numbers.

Least Common Multiple (LCM) of 9473 and 9477 is 89775621.

LCM(9473,9477) = 89775621

LCM of 9473 and 9477

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

LCM of:
and

Least Common Multiple of 9473 and 9477

LCM of 9473 and 9477 is 89775621

Least common multiple can be found by multiplying the highest exponent prime factors of 9473 and 9477. First we will calculate the prime factors of 9473 and 9477.

Prime Factorization of 9473


9473 9473
1

Prime factors of 9473 are 9473. Prime factorization of 9473 in exponential form is:

9473 = 94731

Prime Factorization of 9477


3 9477
3 3159
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 9477 are 3,13. Prime factorization of 9477 in exponential form is:

9477 = 36×131

Now multiplying the highest exponent prime factors to calculate the LCM of 9473 and 9477.

LCM(9473,9477) = 36×131×94731
LCM(9473,9477) = 89775621

Factors of 9473

List of positive integer factors of 9473 that divides 9473 without a remainder.

1, 9473

Factors of 9477

List of positive integer factors of 9477 that divides 9477 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477

Least Common Multiple of 9473 and 9477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9473 and 9477, than apply into the LCM equation.

GCF(9473,9477) = 1
LCM(9473,9477) = ( 9473 × 9477) / 1
LCM(9473,9477) = 89775621 / 1
LCM(9473,9477) = 89775621

Properties of LCM 9473 and 9477

(i) The LCM of 9477 and 9473 is associative

LCM of 9473 and 9477 = LCM of 9477 and 9473

Related Least Common Multiples of 9473

Related Least Common Multiples of 9477

Frequently Asked Questions on LCM of 9473 and 9477

1. What is the LCM of 9473 and 9477?

Answer: LCM of 9473 and 9477 is 89775621.

2. What are the Factors of 9473?

Answer: Factors of 9473 are 1, 9473. There are 2 integers that are factors of 9473. The greatest factor of 9473 is 9473.

3. What are the Factors of 9477?

Answer: Factors of 9477 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477. There are 14 integers that are factors of 9477. The greatest factor of 9477 is 9477.

4. How to Find the LCM of 9473 and 9477?

Answer:

Least Common Multiple of 9473 and 9477 = 89775621

Step 1: Find the prime factorization of 9473

9473 = 9473

Step 2: Find the prime factorization of 9477

9477 = 3 x 3 x 3 x 3 x 3 x 3 x 13

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

LCM = 89775621 = 3 x 3 x 3 x 3 x 3 x 3 x 13 x 9473

Step 4: Therefore, the least common multiple of 9473 and 9477 is 89775621.