Least Common Multiple of 9469 and 9474

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 9474 the smallest integer that is 89709306 that is divisible by both numbers.

Least Common Multiple (LCM) of 9469 and 9474 is 89709306.

LCM(9469,9474) = 89709306

LCM of 9469 and 9474

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

LCM of:
and

Least Common Multiple of 9469 and 9474

LCM of 9469 and 9474 is 89709306

Least common multiple can be found by multiplying the highest exponent prime factors of 9469 and 9474. First we will calculate the prime factors of 9469 and 9474.

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 9474


2 9474
3 4737
1579 1579
1

Prime factors of 9474 are 2, 3,1579. Prime factorization of 9474 in exponential form is:

9474 = 21×31×15791

Now multiplying the highest exponent prime factors to calculate the LCM of 9469 and 9474.

LCM(9469,9474) = 21×31×171×5571×15791
LCM(9469,9474) = 89709306

Factors of 9469

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

1, 17, 557, 9469

Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1, 2, 3, 6, 1579, 3158, 4737, 9474

Least Common Multiple of 9469 and 9474 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 9474, than apply into the LCM equation.

GCF(9469,9474) = 1
LCM(9469,9474) = ( 9469 × 9474) / 1
LCM(9469,9474) = 89709306 / 1
LCM(9469,9474) = 89709306

Properties of LCM 9469 and 9474

(i) The LCM of 9474 and 9469 is associative

LCM of 9469 and 9474 = LCM of 9474 and 9469

Related Least Common Multiples of 9469

Related Least Common Multiples of 9474

Frequently Asked Questions on LCM of 9469 and 9474

1. What is the LCM of 9469 and 9474?

Answer: LCM of 9469 and 9474 is 89709306.

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 9474?

Answer: Factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474. There are 8 integers that are factors of 9474. The greatest factor of 9474 is 9474.

4. How to Find the LCM of 9469 and 9474?

Answer:

Least Common Multiple of 9469 and 9474 = 89709306

Step 1: Find the prime factorization of 9469

9469 = 17 x 557

Step 2: Find the prime factorization of 9474

9474 = 2 x 3 x 1579

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

LCM = 89709306 = 2 x 3 x 17 x 557 x 1579

Step 4: Therefore, the least common multiple of 9469 and 9474 is 89709306.