Least Common Multiple of 9473 and 9478

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 9478 the smallest integer that is 89785094 that is divisible by both numbers.

Least Common Multiple (LCM) of 9473 and 9478 is 89785094.

LCM(9473,9478) = 89785094

LCM of 9473 and 9478

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

LCM of:
and

Least Common Multiple of 9473 and 9478

LCM of 9473 and 9478 is 89785094

Least common multiple can be found by multiplying the highest exponent prime factors of 9473 and 9478. First we will calculate the prime factors of 9473 and 9478.

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 9478


2 9478
7 4739
677 677
1

Prime factors of 9478 are 2, 7,677. Prime factorization of 9478 in exponential form is:

9478 = 21×71×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 9473 and 9478.

LCM(9473,9478) = 21×71×6771×94731
LCM(9473,9478) = 89785094

Factors of 9473

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

1, 9473

Factors of 9478

List of positive integer factors of 9478 that divides 9478 without a remainder.

1, 2, 7, 14, 677, 1354, 4739, 9478

Least Common Multiple of 9473 and 9478 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 9478, than apply into the LCM equation.

GCF(9473,9478) = 1
LCM(9473,9478) = ( 9473 × 9478) / 1
LCM(9473,9478) = 89785094 / 1
LCM(9473,9478) = 89785094

Properties of LCM 9473 and 9478

(i) The LCM of 9478 and 9473 is associative

LCM of 9473 and 9478 = LCM of 9478 and 9473

Related Least Common Multiples of 9473

Related Least Common Multiples of 9478

Frequently Asked Questions on LCM of 9473 and 9478

1. What is the LCM of 9473 and 9478?

Answer: LCM of 9473 and 9478 is 89785094.

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 9478?

Answer: Factors of 9478 are 1, 2, 7, 14, 677, 1354, 4739, 9478. There are 8 integers that are factors of 9478. The greatest factor of 9478 is 9478.

4. How to Find the LCM of 9473 and 9478?

Answer:

Least Common Multiple of 9473 and 9478 = 89785094

Step 1: Find the prime factorization of 9473

9473 = 9473

Step 2: Find the prime factorization of 9478

9478 = 2 x 7 x 677

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

LCM = 89785094 = 2 x 7 x 677 x 9473

Step 4: Therefore, the least common multiple of 9473 and 9478 is 89785094.