Least Common Multiple of 9164 and 9171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9164 and 9171 the smallest integer that is 84043044 that is divisible by both numbers.

Least Common Multiple (LCM) of 9164 and 9171 is 84043044.

LCM(9164,9171) = 84043044

LCM of 9164 and 9171

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

LCM of:
and

Least Common Multiple of 9164 and 9171

LCM of 9164 and 9171 is 84043044

Least common multiple can be found by multiplying the highest exponent prime factors of 9164 and 9171. First we will calculate the prime factors of 9164 and 9171.

Prime Factorization of 9164


2 9164
2 4582
29 2291
79 79
1

Prime factors of 9164 are 2, 29,79. Prime factorization of 9164 in exponential form is:

9164 = 22×291×791

Prime Factorization of 9171


3 9171
3 3057
1019 1019
1

Prime factors of 9171 are 3,1019. Prime factorization of 9171 in exponential form is:

9171 = 32×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 9164 and 9171.

LCM(9164,9171) = 22×32×291×791×10191
LCM(9164,9171) = 84043044

Factors of 9164

List of positive integer factors of 9164 that divides 9164 without a remainder.

1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164

Factors of 9171

List of positive integer factors of 9171 that divides 9171 without a remainder.

1, 3, 9, 1019, 3057, 9171

Least Common Multiple of 9164 and 9171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9164 and 9171, than apply into the LCM equation.

GCF(9164,9171) = 1
LCM(9164,9171) = ( 9164 × 9171) / 1
LCM(9164,9171) = 84043044 / 1
LCM(9164,9171) = 84043044

Properties of LCM 9164 and 9171

(i) The LCM of 9171 and 9164 is associative

LCM of 9164 and 9171 = LCM of 9171 and 9164

Related Least Common Multiples of 9164

Related Least Common Multiples of 9171

Frequently Asked Questions on LCM of 9164 and 9171

1. What is the LCM of 9164 and 9171?

Answer: LCM of 9164 and 9171 is 84043044.

2. What are the Factors of 9164?

Answer: Factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164. There are 12 integers that are factors of 9164. The greatest factor of 9164 is 9164.

3. What are the Factors of 9171?

Answer: Factors of 9171 are 1, 3, 9, 1019, 3057, 9171. There are 6 integers that are factors of 9171. The greatest factor of 9171 is 9171.

4. How to Find the LCM of 9164 and 9171?

Answer:

Least Common Multiple of 9164 and 9171 = 84043044

Step 1: Find the prime factorization of 9164

9164 = 2 x 2 x 29 x 79

Step 2: Find the prime factorization of 9171

9171 = 3 x 3 x 1019

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

LCM = 84043044 = 2 x 2 x 3 x 3 x 29 x 79 x 1019

Step 4: Therefore, the least common multiple of 9164 and 9171 is 84043044.