Least Common Multiple of 9473 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 9473 and 9474 the smallest integer that is 89747202 that is divisible by both numbers.

Least Common Multiple (LCM) of 9473 and 9474 is 89747202.

LCM(9473,9474) = 89747202

LCM of 9473 and 9474

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

LCM of:
and

Least Common Multiple of 9473 and 9474

LCM of 9473 and 9474 is 89747202

Least common multiple can be found by multiplying the highest exponent prime factors of 9473 and 9474. First we will calculate the prime factors of 9473 and 9474.

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 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 9473 and 9474.

LCM(9473,9474) = 21×31×15791×94731
LCM(9473,9474) = 89747202

Factors of 9473

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

1, 9473

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 9473 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 9473 and 9474, than apply into the LCM equation.

GCF(9473,9474) = 1
LCM(9473,9474) = ( 9473 × 9474) / 1
LCM(9473,9474) = 89747202 / 1
LCM(9473,9474) = 89747202

Properties of LCM 9473 and 9474

(i) The LCM of 9474 and 9473 is associative

LCM of 9473 and 9474 = LCM of 9474 and 9473

Related Least Common Multiples of 9473

Related Least Common Multiples of 9474

Frequently Asked Questions on LCM of 9473 and 9474

1. What is the LCM of 9473 and 9474?

Answer: LCM of 9473 and 9474 is 89747202.

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 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 9473 and 9474?

Answer:

Least Common Multiple of 9473 and 9474 = 89747202

Step 1: Find the prime factorization of 9473

9473 = 9473

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 = 89747202 = 2 x 3 x 1579 x 9473

Step 4: Therefore, the least common multiple of 9473 and 9474 is 89747202.