Least Common Multiple of 9164 and 9169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9164 and 9169 the smallest integer that is 84024716 that is divisible by both numbers.

Least Common Multiple (LCM) of 9164 and 9169 is 84024716.

LCM(9164,9169) = 84024716

LCM of 9164 and 9169

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

LCM of:
and

Least Common Multiple of 9164 and 9169

LCM of 9164 and 9169 is 84024716

Least common multiple can be found by multiplying the highest exponent prime factors of 9164 and 9169. First we will calculate the prime factors of 9164 and 9169.

Prime Factorization of 9164


2 9164
2 4582
29 2291
79 79
1

Prime factors of 9164 are 2, 29,79. Prime factorization of 9164 in exponential form is:

9164 = 22×291×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9164 and 9169.

LCM(9164,9169) = 22×291×531×791×1731
LCM(9164,9169) = 84024716

Factors of 9164

List of positive integer factors of 9164 that divides 9164 without a remainder.

1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164

Factors of 9169

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

1, 53, 173, 9169

Least Common Multiple of 9164 and 9169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9164 and 9169, than apply into the LCM equation.

GCF(9164,9169) = 1
LCM(9164,9169) = ( 9164 × 9169) / 1
LCM(9164,9169) = 84024716 / 1
LCM(9164,9169) = 84024716

Properties of LCM 9164 and 9169

(i) The LCM of 9169 and 9164 is associative

LCM of 9164 and 9169 = LCM of 9169 and 9164

Related Least Common Multiples of 9164

Related Least Common Multiples of 9169

Frequently Asked Questions on LCM of 9164 and 9169

1. What is the LCM of 9164 and 9169?

Answer: LCM of 9164 and 9169 is 84024716.

2. What are the Factors of 9164?

Answer: Factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164. There are 12 integers that are factors of 9164. The greatest factor of 9164 is 9164.

3. 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.

4. How to Find the LCM of 9164 and 9169?

Answer:

Least Common Multiple of 9164 and 9169 = 84024716

Step 1: Find the prime factorization of 9164

9164 = 2 x 2 x 29 x 79

Step 2: Find the prime factorization of 9169

9169 = 53 x 173

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

LCM = 84024716 = 2 x 2 x 29 x 53 x 79 x 173

Step 4: Therefore, the least common multiple of 9164 and 9169 is 84024716.