Least Common Multiple of 9167 and 9173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9167 and 9173 the smallest integer that is 84088891 that is divisible by both numbers.

Least Common Multiple (LCM) of 9167 and 9173 is 84088891.

LCM(9167,9173) = 84088891

LCM of 9167 and 9173

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

LCM of:
and

Least Common Multiple of 9167 and 9173

LCM of 9167 and 9173 is 84088891

Least common multiple can be found by multiplying the highest exponent prime factors of 9167 and 9173. First we will calculate the prime factors of 9167 and 9173.

Prime Factorization of 9167


89 9167
103 103
1

Prime factors of 9167 are 89,103. Prime factorization of 9167 in exponential form is:

9167 = 891×1031

Prime Factorization of 9173


9173 9173
1

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

9173 = 91731

Now multiplying the highest exponent prime factors to calculate the LCM of 9167 and 9173.

LCM(9167,9173) = 891×1031×91731
LCM(9167,9173) = 84088891

Factors of 9167

List of positive integer factors of 9167 that divides 9167 without a remainder.

1, 89, 103, 9167

Factors of 9173

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

1, 9173

Least Common Multiple of 9167 and 9173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9167 and 9173, than apply into the LCM equation.

GCF(9167,9173) = 1
LCM(9167,9173) = ( 9167 × 9173) / 1
LCM(9167,9173) = 84088891 / 1
LCM(9167,9173) = 84088891

Properties of LCM 9167 and 9173

(i) The LCM of 9173 and 9167 is associative

LCM of 9167 and 9173 = LCM of 9173 and 9167

Related Least Common Multiples of 9167

Related Least Common Multiples of 9173

Frequently Asked Questions on LCM of 9167 and 9173

1. What is the LCM of 9167 and 9173?

Answer: LCM of 9167 and 9173 is 84088891.

2. What are the Factors of 9167?

Answer: Factors of 9167 are 1, 89, 103, 9167. There are 4 integers that are factors of 9167. The greatest factor of 9167 is 9167.

3. 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.

4. How to Find the LCM of 9167 and 9173?

Answer:

Least Common Multiple of 9167 and 9173 = 84088891

Step 1: Find the prime factorization of 9167

9167 = 89 x 103

Step 2: Find the prime factorization of 9173

9173 = 9173

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

LCM = 84088891 = 89 x 103 x 9173

Step 4: Therefore, the least common multiple of 9167 and 9173 is 84088891.