Least Common Multiple of 9473 and 9475

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 9475 the smallest integer that is 89756675 that is divisible by both numbers.

Least Common Multiple (LCM) of 9473 and 9475 is 89756675.

LCM(9473,9475) = 89756675

LCM of 9473 and 9475

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

LCM of:
and

Least Common Multiple of 9473 and 9475

LCM of 9473 and 9475 is 89756675

Least common multiple can be found by multiplying the highest exponent prime factors of 9473 and 9475. First we will calculate the prime factors of 9473 and 9475.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 9473 and 9475.

LCM(9473,9475) = 52×3791×94731
LCM(9473,9475) = 89756675

Factors of 9473

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

1, 9473

Factors of 9475

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

1, 5, 25, 379, 1895, 9475

Least Common Multiple of 9473 and 9475 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 9475, than apply into the LCM equation.

GCF(9473,9475) = 1
LCM(9473,9475) = ( 9473 × 9475) / 1
LCM(9473,9475) = 89756675 / 1
LCM(9473,9475) = 89756675

Properties of LCM 9473 and 9475

(i) The LCM of 9475 and 9473 is associative

LCM of 9473 and 9475 = LCM of 9475 and 9473

Related Least Common Multiples of 9473

Related Least Common Multiples of 9475

Frequently Asked Questions on LCM of 9473 and 9475

1. What is the LCM of 9473 and 9475?

Answer: LCM of 9473 and 9475 is 89756675.

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 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.

4. How to Find the LCM of 9473 and 9475?

Answer:

Least Common Multiple of 9473 and 9475 = 89756675

Step 1: Find the prime factorization of 9473

9473 = 9473

Step 2: Find the prime factorization of 9475

9475 = 5 x 5 x 379

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

LCM = 89756675 = 5 x 5 x 379 x 9473

Step 4: Therefore, the least common multiple of 9473 and 9475 is 89756675.