Least Common Multiple of 9173 and 9179

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 9179 the smallest integer that is 84198967 that is divisible by both numbers.

Least Common Multiple (LCM) of 9173 and 9179 is 84198967.

LCM(9173,9179) = 84198967

LCM of 9173 and 9179

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

LCM of:
and

Least Common Multiple of 9173 and 9179

LCM of 9173 and 9179 is 84198967

Least common multiple can be found by multiplying the highest exponent prime factors of 9173 and 9179. First we will calculate the prime factors of 9173 and 9179.

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 9179


67 9179
137 137
1

Prime factors of 9179 are 67,137. Prime factorization of 9179 in exponential form is:

9179 = 671×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9173 and 9179.

LCM(9173,9179) = 671×1371×91731
LCM(9173,9179) = 84198967

Factors of 9173

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

1, 9173

Factors of 9179

List of positive integer factors of 9179 that divides 9179 without a remainder.

1, 67, 137, 9179

Least Common Multiple of 9173 and 9179 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 9179, than apply into the LCM equation.

GCF(9173,9179) = 1
LCM(9173,9179) = ( 9173 × 9179) / 1
LCM(9173,9179) = 84198967 / 1
LCM(9173,9179) = 84198967

Properties of LCM 9173 and 9179

(i) The LCM of 9179 and 9173 is associative

LCM of 9173 and 9179 = LCM of 9179 and 9173

Related Least Common Multiples of 9173

Related Least Common Multiples of 9179

Frequently Asked Questions on LCM of 9173 and 9179

1. What is the LCM of 9173 and 9179?

Answer: LCM of 9173 and 9179 is 84198967.

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 9179?

Answer: Factors of 9179 are 1, 67, 137, 9179. There are 4 integers that are factors of 9179. The greatest factor of 9179 is 9179.

4. How to Find the LCM of 9173 and 9179?

Answer:

Least Common Multiple of 9173 and 9179 = 84198967

Step 1: Find the prime factorization of 9173

9173 = 9173

Step 2: Find the prime factorization of 9179

9179 = 67 x 137

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

LCM = 84198967 = 67 x 137 x 9173

Step 4: Therefore, the least common multiple of 9173 and 9179 is 84198967.