Least Common Multiple of 9469 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 9469 and 9477 the smallest integer that is 89737713 that is divisible by both numbers.

Least Common Multiple (LCM) of 9469 and 9477 is 89737713.

LCM(9469,9477) = 89737713

LCM of 9469 and 9477

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

LCM of:
and

Least Common Multiple of 9469 and 9477

LCM of 9469 and 9477 is 89737713

Least common multiple can be found by multiplying the highest exponent prime factors of 9469 and 9477. First we will calculate the prime factors of 9469 and 9477.

Prime Factorization of 9469


17 9469
557 557
1

Prime factors of 9469 are 17,557. Prime factorization of 9469 in exponential form is:

9469 = 171×5571

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 9469 and 9477.

LCM(9469,9477) = 36×131×171×5571
LCM(9469,9477) = 89737713

Factors of 9469

List of positive integer factors of 9469 that divides 9469 without a remainder.

1, 17, 557, 9469

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 9469 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 9469 and 9477, than apply into the LCM equation.

GCF(9469,9477) = 1
LCM(9469,9477) = ( 9469 × 9477) / 1
LCM(9469,9477) = 89737713 / 1
LCM(9469,9477) = 89737713

Properties of LCM 9469 and 9477

(i) The LCM of 9477 and 9469 is associative

LCM of 9469 and 9477 = LCM of 9477 and 9469

Related Least Common Multiples of 9469

Related Least Common Multiples of 9477

Frequently Asked Questions on LCM of 9469 and 9477

1. What is the LCM of 9469 and 9477?

Answer: LCM of 9469 and 9477 is 89737713.

2. What are the Factors of 9469?

Answer: Factors of 9469 are 1, 17, 557, 9469. There are 4 integers that are factors of 9469. The greatest factor of 9469 is 9469.

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 9469 and 9477?

Answer:

Least Common Multiple of 9469 and 9477 = 89737713

Step 1: Find the prime factorization of 9469

9469 = 17 x 557

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 = 89737713 = 3 x 3 x 3 x 3 x 3 x 3 x 13 x 17 x 557

Step 4: Therefore, the least common multiple of 9469 and 9477 is 89737713.