Least Common Multiple of 9475 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 9475 and 9477 the smallest integer that is 89794575 that is divisible by both numbers.

Least Common Multiple (LCM) of 9475 and 9477 is 89794575.

LCM(9475,9477) = 89794575

LCM of 9475 and 9477

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

LCM of:
and

Least Common Multiple of 9475 and 9477

LCM of 9475 and 9477 is 89794575

Least common multiple can be found by multiplying the highest exponent prime factors of 9475 and 9477. First we will calculate the prime factors of 9475 and 9477.

Prime Factorization of 9475


5 9475
5 1895
379 379
1

Prime factors of 9475 are 5,379. Prime factorization of 9475 in exponential form is:

9475 = 52×3791

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 9475 and 9477.

LCM(9475,9477) = 36×52×131×3791
LCM(9475,9477) = 89794575

Factors of 9475

List of positive integer factors of 9475 that divides 9475 without a remainder.

1, 5, 25, 379, 1895, 9475

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 9475 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 9475 and 9477, than apply into the LCM equation.

GCF(9475,9477) = 1
LCM(9475,9477) = ( 9475 × 9477) / 1
LCM(9475,9477) = 89794575 / 1
LCM(9475,9477) = 89794575

Properties of LCM 9475 and 9477

(i) The LCM of 9477 and 9475 is associative

LCM of 9475 and 9477 = LCM of 9477 and 9475

Related Least Common Multiples of 9475

Related Least Common Multiples of 9477

Frequently Asked Questions on LCM of 9475 and 9477

1. What is the LCM of 9475 and 9477?

Answer: LCM of 9475 and 9477 is 89794575.

2. What are the Factors of 9475?

Answer: Factors of 9475 are 1, 5, 25, 379, 1895, 9475. There are 6 integers that are factors of 9475. The greatest factor of 9475 is 9475.

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 9475 and 9477?

Answer:

Least Common Multiple of 9475 and 9477 = 89794575

Step 1: Find the prime factorization of 9475

9475 = 5 x 5 x 379

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 = 89794575 = 3 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 13 x 379

Step 4: Therefore, the least common multiple of 9475 and 9477 is 89794575.