Least Common Multiple of 9166 and 9172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9166 and 9172 the smallest integer that is 42035276 that is divisible by both numbers.

Least Common Multiple (LCM) of 9166 and 9172 is 42035276.

LCM(9166,9172) = 42035276

LCM of 9166 and 9172

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

LCM of:
and

Least Common Multiple of 9166 and 9172

LCM of 9166 and 9172 is 42035276

Least common multiple can be found by multiplying the highest exponent prime factors of 9166 and 9172. First we will calculate the prime factors of 9166 and 9172.

Prime Factorization of 9166


2 9166
4583 4583
1

Prime factors of 9166 are 2,4583. Prime factorization of 9166 in exponential form is:

9166 = 21×45831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9166 and 9172.

LCM(9166,9172) = 22×22931×45831
LCM(9166,9172) = 42035276

Factors of 9166

List of positive integer factors of 9166 that divides 9166 without a remainder.

1, 2, 4583, 9166

Factors of 9172

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

1, 2, 4, 2293, 4586, 9172

Least Common Multiple of 9166 and 9172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9166 and 9172, than apply into the LCM equation.

GCF(9166,9172) = 2
LCM(9166,9172) = ( 9166 × 9172) / 2
LCM(9166,9172) = 84070552 / 2
LCM(9166,9172) = 42035276

Properties of LCM 9166 and 9172

(i) The LCM of 9172 and 9166 is associative

LCM of 9166 and 9172 = LCM of 9172 and 9166

Related Least Common Multiples of 9166

Related Least Common Multiples of 9172

Frequently Asked Questions on LCM of 9166 and 9172

1. What is the LCM of 9166 and 9172?

Answer: LCM of 9166 and 9172 is 42035276.

2. What are the Factors of 9166?

Answer: Factors of 9166 are 1, 2, 4583, 9166. There are 4 integers that are factors of 9166. The greatest factor of 9166 is 9166.

3. 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.

4. How to Find the LCM of 9166 and 9172?

Answer:

Least Common Multiple of 9166 and 9172 = 42035276

Step 1: Find the prime factorization of 9166

9166 = 2 x 4583

Step 2: Find the prime factorization of 9172

9172 = 2 x 2 x 2293

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

LCM = 42035276 = 2 x 2 x 2293 x 4583

Step 4: Therefore, the least common multiple of 9166 and 9172 is 42035276.