Least Common Multiple of 9172 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 9172 and 9179 the smallest integer that is 84189788 that is divisible by both numbers.

Least Common Multiple (LCM) of 9172 and 9179 is 84189788.

LCM(9172,9179) = 84189788

LCM of 9172 and 9179

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

LCM of:
and

Least Common Multiple of 9172 and 9179

LCM of 9172 and 9179 is 84189788

Least common multiple can be found by multiplying the highest exponent prime factors of 9172 and 9179. First we will calculate the prime factors of 9172 and 9179.

Prime Factorization of 9172


2 9172
2 4586
2293 2293
1

Prime factors of 9172 are 2,2293. Prime factorization of 9172 in exponential form is:

9172 = 22×22931

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 9172 and 9179.

LCM(9172,9179) = 22×671×1371×22931
LCM(9172,9179) = 84189788

Factors of 9172

List of positive integer factors of 9172 that divides 9172 without a remainder.

1, 2, 4, 2293, 4586, 9172

Factors of 9179

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

1, 67, 137, 9179

Least Common Multiple of 9172 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 9172 and 9179, than apply into the LCM equation.

GCF(9172,9179) = 1
LCM(9172,9179) = ( 9172 × 9179) / 1
LCM(9172,9179) = 84189788 / 1
LCM(9172,9179) = 84189788

Properties of LCM 9172 and 9179

(i) The LCM of 9179 and 9172 is associative

LCM of 9172 and 9179 = LCM of 9179 and 9172

Related Least Common Multiples of 9172

Related Least Common Multiples of 9179

Frequently Asked Questions on LCM of 9172 and 9179

1. What is the LCM of 9172 and 9179?

Answer: LCM of 9172 and 9179 is 84189788.

2. What are the Factors of 9172?

Answer: Factors of 9172 are 1, 2, 4, 2293, 4586, 9172. There are 6 integers that are factors of 9172. The greatest factor of 9172 is 9172.

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 9172 and 9179?

Answer:

Least Common Multiple of 9172 and 9179 = 84189788

Step 1: Find the prime factorization of 9172

9172 = 2 x 2 x 2293

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 = 84189788 = 2 x 2 x 67 x 137 x 2293

Step 4: Therefore, the least common multiple of 9172 and 9179 is 84189788.