Least Common Multiple of 9160 and 9164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9160 and 9164 the smallest integer that is 20985560 that is divisible by both numbers.

Least Common Multiple (LCM) of 9160 and 9164 is 20985560.

LCM(9160,9164) = 20985560

LCM of 9160 and 9164

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

LCM of:
and

Least Common Multiple of 9160 and 9164

LCM of 9160 and 9164 is 20985560

Least common multiple can be found by multiplying the highest exponent prime factors of 9160 and 9164. First we will calculate the prime factors of 9160 and 9164.

Prime Factorization of 9160


2 9160
2 4580
2 2290
5 1145
229 229
1

Prime factors of 9160 are 2, 5,229. Prime factorization of 9160 in exponential form is:

9160 = 23×51×2291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9160 and 9164.

LCM(9160,9164) = 23×51×291×791×2291
LCM(9160,9164) = 20985560

Factors of 9160

List of positive integer factors of 9160 that divides 9160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160

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

Least Common Multiple of 9160 and 9164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9160 and 9164, than apply into the LCM equation.

GCF(9160,9164) = 4
LCM(9160,9164) = ( 9160 × 9164) / 4
LCM(9160,9164) = 83942240 / 4
LCM(9160,9164) = 20985560

Properties of LCM 9160 and 9164

(i) The LCM of 9164 and 9160 is associative

LCM of 9160 and 9164 = LCM of 9164 and 9160

Related Least Common Multiples of 9160

Related Least Common Multiples of 9164

Frequently Asked Questions on LCM of 9160 and 9164

1. What is the LCM of 9160 and 9164?

Answer: LCM of 9160 and 9164 is 20985560.

2. What are the Factors of 9160?

Answer: Factors of 9160 are 1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160. There are 16 integers that are factors of 9160. The greatest factor of 9160 is 9160.

3. 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.

4. How to Find the LCM of 9160 and 9164?

Answer:

Least Common Multiple of 9160 and 9164 = 20985560

Step 1: Find the prime factorization of 9160

9160 = 2 x 2 x 2 x 5 x 229

Step 2: Find the prime factorization of 9164

9164 = 2 x 2 x 29 x 79

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

LCM = 20985560 = 2 x 2 x 2 x 5 x 29 x 79 x 229

Step 4: Therefore, the least common multiple of 9160 and 9164 is 20985560.