Least Common Multiple of 9171 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 9171 and 9179 the smallest integer that is 84180609 that is divisible by both numbers.

Least Common Multiple (LCM) of 9171 and 9179 is 84180609.

LCM(9171,9179) = 84180609

LCM of 9171 and 9179

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

LCM of:
and

Least Common Multiple of 9171 and 9179

LCM of 9171 and 9179 is 84180609

Least common multiple can be found by multiplying the highest exponent prime factors of 9171 and 9179. First we will calculate the prime factors of 9171 and 9179.

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

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 9171 and 9179.

LCM(9171,9179) = 32×671×1371×10191
LCM(9171,9179) = 84180609

Factors of 9171

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

1, 3, 9, 1019, 3057, 9171

Factors of 9179

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

1, 67, 137, 9179

Least Common Multiple of 9171 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 9171 and 9179, than apply into the LCM equation.

GCF(9171,9179) = 1
LCM(9171,9179) = ( 9171 × 9179) / 1
LCM(9171,9179) = 84180609 / 1
LCM(9171,9179) = 84180609

Properties of LCM 9171 and 9179

(i) The LCM of 9179 and 9171 is associative

LCM of 9171 and 9179 = LCM of 9179 and 9171

Frequently Asked Questions on LCM of 9171 and 9179

1. What is the LCM of 9171 and 9179?

Answer: LCM of 9171 and 9179 is 84180609.

2. 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.

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 9171 and 9179?

Answer:

Least Common Multiple of 9171 and 9179 = 84180609

Step 1: Find the prime factorization of 9171

9171 = 3 x 3 x 1019

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 = 84180609 = 3 x 3 x 67 x 137 x 1019

Step 4: Therefore, the least common multiple of 9171 and 9179 is 84180609.