Least Common Multiple of 9169 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 9169 and 9176 the smallest integer that is 84134744 that is divisible by both numbers.

Least Common Multiple (LCM) of 9169 and 9176 is 84134744.

LCM(9169,9176) = 84134744

LCM of 9169 and 9176

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

LCM of:
and

Least Common Multiple of 9169 and 9176

LCM of 9169 and 9176 is 84134744

Least common multiple can be found by multiplying the highest exponent prime factors of 9169 and 9176. First we will calculate the prime factors of 9169 and 9176.

Prime Factorization of 9169


53 9169
173 173
1

Prime factors of 9169 are 53,173. Prime factorization of 9169 in exponential form is:

9169 = 531×1731

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 9169 and 9176.

LCM(9169,9176) = 23×311×371×531×1731
LCM(9169,9176) = 84134744

Factors of 9169

List of positive integer factors of 9169 that divides 9169 without a remainder.

1, 53, 173, 9169

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 9169 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 9169 and 9176, than apply into the LCM equation.

GCF(9169,9176) = 1
LCM(9169,9176) = ( 9169 × 9176) / 1
LCM(9169,9176) = 84134744 / 1
LCM(9169,9176) = 84134744

Properties of LCM 9169 and 9176

(i) The LCM of 9176 and 9169 is associative

LCM of 9169 and 9176 = LCM of 9176 and 9169

Related Least Common Multiples of 9169

Related Least Common Multiples of 9176

Frequently Asked Questions on LCM of 9169 and 9176

1. What is the LCM of 9169 and 9176?

Answer: LCM of 9169 and 9176 is 84134744.

2. What are the Factors of 9169?

Answer: Factors of 9169 are 1, 53, 173, 9169. There are 4 integers that are factors of 9169. The greatest factor of 9169 is 9169.

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 9169 and 9176?

Answer:

Least Common Multiple of 9169 and 9176 = 84134744

Step 1: Find the prime factorization of 9169

9169 = 53 x 173

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 = 84134744 = 2 x 2 x 2 x 31 x 37 x 53 x 173

Step 4: Therefore, the least common multiple of 9169 and 9176 is 84134744.