Least Common Multiple of 9172 and 9178

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 9178 the smallest integer that is 42090308 that is divisible by both numbers.

Least Common Multiple (LCM) of 9172 and 9178 is 42090308.

LCM(9172,9178) = 42090308

LCM of 9172 and 9178

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

LCM of:
and

Least Common Multiple of 9172 and 9178

LCM of 9172 and 9178 is 42090308

Least common multiple can be found by multiplying the highest exponent prime factors of 9172 and 9178. First we will calculate the prime factors of 9172 and 9178.

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 9178


2 9178
13 4589
353 353
1

Prime factors of 9178 are 2, 13,353. Prime factorization of 9178 in exponential form is:

9178 = 21×131×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 9172 and 9178.

LCM(9172,9178) = 22×131×3531×22931
LCM(9172,9178) = 42090308

Factors of 9172

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

1, 2, 4, 2293, 4586, 9172

Factors of 9178

List of positive integer factors of 9178 that divides 9178 without a remainder.

1, 2, 13, 26, 353, 706, 4589, 9178

Least Common Multiple of 9172 and 9178 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 9178, than apply into the LCM equation.

GCF(9172,9178) = 2
LCM(9172,9178) = ( 9172 × 9178) / 2
LCM(9172,9178) = 84180616 / 2
LCM(9172,9178) = 42090308

Properties of LCM 9172 and 9178

(i) The LCM of 9178 and 9172 is associative

LCM of 9172 and 9178 = LCM of 9178 and 9172

Related Least Common Multiples of 9172

Related Least Common Multiples of 9178

Frequently Asked Questions on LCM of 9172 and 9178

1. What is the LCM of 9172 and 9178?

Answer: LCM of 9172 and 9178 is 42090308.

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 9178?

Answer: Factors of 9178 are 1, 2, 13, 26, 353, 706, 4589, 9178. There are 8 integers that are factors of 9178. The greatest factor of 9178 is 9178.

4. How to Find the LCM of 9172 and 9178?

Answer:

Least Common Multiple of 9172 and 9178 = 42090308

Step 1: Find the prime factorization of 9172

9172 = 2 x 2 x 2293

Step 2: Find the prime factorization of 9178

9178 = 2 x 13 x 353

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

LCM = 42090308 = 2 x 2 x 13 x 353 x 2293

Step 4: Therefore, the least common multiple of 9172 and 9178 is 42090308.