Least Common Multiple of 9477 and 9483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9477 and 9483 the smallest integer that is 29956797 that is divisible by both numbers.

Least Common Multiple (LCM) of 9477 and 9483 is 29956797.

LCM(9477,9483) = 29956797

LCM of 9477 and 9483

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

LCM of:
and

Least Common Multiple of 9477 and 9483

LCM of 9477 and 9483 is 29956797

Least common multiple can be found by multiplying the highest exponent prime factors of 9477 and 9483. First we will calculate the prime factors of 9477 and 9483.

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

Prime Factorization of 9483


3 9483
29 3161
109 109
1

Prime factors of 9483 are 3, 29,109. Prime factorization of 9483 in exponential form is:

9483 = 31×291×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9477 and 9483.

LCM(9477,9483) = 36×131×291×1091
LCM(9477,9483) = 29956797

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

Factors of 9483

List of positive integer factors of 9483 that divides 9483 without a remainder.

1, 3, 29, 87, 109, 327, 3161, 9483

Least Common Multiple of 9477 and 9483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9477 and 9483, than apply into the LCM equation.

GCF(9477,9483) = 3
LCM(9477,9483) = ( 9477 × 9483) / 3
LCM(9477,9483) = 89870391 / 3
LCM(9477,9483) = 29956797

Properties of LCM 9477 and 9483

(i) The LCM of 9483 and 9477 is associative

LCM of 9477 and 9483 = LCM of 9483 and 9477

Related Least Common Multiples of 9477

Related Least Common Multiples of 9483

Frequently Asked Questions on LCM of 9477 and 9483

1. What is the LCM of 9477 and 9483?

Answer: LCM of 9477 and 9483 is 29956797.

2. 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.

3. What are the Factors of 9483?

Answer: Factors of 9483 are 1, 3, 29, 87, 109, 327, 3161, 9483. There are 8 integers that are factors of 9483. The greatest factor of 9483 is 9483.

4. How to Find the LCM of 9477 and 9483?

Answer:

Least Common Multiple of 9477 and 9483 = 29956797

Step 1: Find the prime factorization of 9477

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

Step 2: Find the prime factorization of 9483

9483 = 3 x 29 x 109

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

LCM = 29956797 = 3 x 3 x 3 x 3 x 3 x 3 x 13 x 29 x 109

Step 4: Therefore, the least common multiple of 9477 and 9483 is 29956797.