Least Common Multiple of 9170 and 9176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9170 and 9176 the smallest integer that is 42071960 that is divisible by both numbers.

Least Common Multiple (LCM) of 9170 and 9176 is 42071960.

LCM(9170,9176) = 42071960

LCM of 9170 and 9176

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

LCM of:
and

Least Common Multiple of 9170 and 9176

LCM of 9170 and 9176 is 42071960

Least common multiple can be found by multiplying the highest exponent prime factors of 9170 and 9176. First we will calculate the prime factors of 9170 and 9176.

Prime Factorization of 9170


2 9170
5 4585
7 917
131 131
1

Prime factors of 9170 are 2, 5, 7,131. Prime factorization of 9170 in exponential form is:

9170 = 21×51×71×1311

Prime Factorization of 9176


2 9176
2 4588
2 2294
31 1147
37 37
1

Prime factors of 9176 are 2, 31,37. Prime factorization of 9176 in exponential form is:

9176 = 23×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9170 and 9176.

LCM(9170,9176) = 23×51×71×311×371×1311
LCM(9170,9176) = 42071960

Factors of 9170

List of positive integer factors of 9170 that divides 9170 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170

Factors of 9176

List of positive integer factors of 9176 that divides 9176 without a remainder.

1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176

Least Common Multiple of 9170 and 9176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9170 and 9176, than apply into the LCM equation.

GCF(9170,9176) = 2
LCM(9170,9176) = ( 9170 × 9176) / 2
LCM(9170,9176) = 84143920 / 2
LCM(9170,9176) = 42071960

Properties of LCM 9170 and 9176

(i) The LCM of 9176 and 9170 is associative

LCM of 9170 and 9176 = LCM of 9176 and 9170

Related Least Common Multiples of 9170

Related Least Common Multiples of 9176

Frequently Asked Questions on LCM of 9170 and 9176

1. What is the LCM of 9170 and 9176?

Answer: LCM of 9170 and 9176 is 42071960.

2. What are the Factors of 9170?

Answer: Factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170. There are 16 integers that are factors of 9170. The greatest factor of 9170 is 9170.

3. What are the Factors of 9176?

Answer: Factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176. There are 16 integers that are factors of 9176. The greatest factor of 9176 is 9176.

4. How to Find the LCM of 9170 and 9176?

Answer:

Least Common Multiple of 9170 and 9176 = 42071960

Step 1: Find the prime factorization of 9170

9170 = 2 x 5 x 7 x 131

Step 2: Find the prime factorization of 9176

9176 = 2 x 2 x 2 x 31 x 37

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

LCM = 42071960 = 2 x 2 x 2 x 5 x 7 x 31 x 37 x 131

Step 4: Therefore, the least common multiple of 9170 and 9176 is 42071960.