Least Common Multiple of 9173 and 9178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9173 and 9178 the smallest integer that is 84189794 that is divisible by both numbers.

Least Common Multiple (LCM) of 9173 and 9178 is 84189794.

LCM(9173,9178) = 84189794

LCM of 9173 and 9178

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

LCM of:
and

Least Common Multiple of 9173 and 9178

LCM of 9173 and 9178 is 84189794

Least common multiple can be found by multiplying the highest exponent prime factors of 9173 and 9178. First we will calculate the prime factors of 9173 and 9178.

Prime Factorization of 9173


9173 9173
1

Prime factors of 9173 are 9173. Prime factorization of 9173 in exponential form is:

9173 = 91731

Prime Factorization of 9178


2 9178
13 4589
353 353
1

Prime factors of 9178 are 2, 13,353. Prime factorization of 9178 in exponential form is:

9178 = 21×131×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 9173 and 9178.

LCM(9173,9178) = 21×131×3531×91731
LCM(9173,9178) = 84189794

Factors of 9173

List of positive integer factors of 9173 that divides 9173 without a remainder.

1, 9173

Factors of 9178

List of positive integer factors of 9178 that divides 9178 without a remainder.

1, 2, 13, 26, 353, 706, 4589, 9178

Least Common Multiple of 9173 and 9178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9173 and 9178, than apply into the LCM equation.

GCF(9173,9178) = 1
LCM(9173,9178) = ( 9173 × 9178) / 1
LCM(9173,9178) = 84189794 / 1
LCM(9173,9178) = 84189794

Properties of LCM 9173 and 9178

(i) The LCM of 9178 and 9173 is associative

LCM of 9173 and 9178 = LCM of 9178 and 9173

Related Least Common Multiples of 9173

Related Least Common Multiples of 9178

Frequently Asked Questions on LCM of 9173 and 9178

1. What is the LCM of 9173 and 9178?

Answer: LCM of 9173 and 9178 is 84189794.

2. What are the Factors of 9173?

Answer: Factors of 9173 are 1, 9173. There are 2 integers that are factors of 9173. The greatest factor of 9173 is 9173.

3. What are the Factors of 9178?

Answer: Factors of 9178 are 1, 2, 13, 26, 353, 706, 4589, 9178. There are 8 integers that are factors of 9178. The greatest factor of 9178 is 9178.

4. How to Find the LCM of 9173 and 9178?

Answer:

Least Common Multiple of 9173 and 9178 = 84189794

Step 1: Find the prime factorization of 9173

9173 = 9173

Step 2: Find the prime factorization of 9178

9178 = 2 x 13 x 353

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

LCM = 84189794 = 2 x 13 x 353 x 9173

Step 4: Therefore, the least common multiple of 9173 and 9178 is 84189794.