Least Common Multiple of 9153 and 9160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9153 and 9160 the smallest integer that is 83841480 that is divisible by both numbers.

Least Common Multiple (LCM) of 9153 and 9160 is 83841480.

LCM(9153,9160) = 83841480

LCM of 9153 and 9160

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

LCM of:
and

Least Common Multiple of 9153 and 9160

LCM of 9153 and 9160 is 83841480

Least common multiple can be found by multiplying the highest exponent prime factors of 9153 and 9160. First we will calculate the prime factors of 9153 and 9160.

Prime Factorization of 9153


3 9153
3 3051
3 1017
3 339
113 113
1

Prime factors of 9153 are 3,113. Prime factorization of 9153 in exponential form is:

9153 = 34×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9153 and 9160.

LCM(9153,9160) = 23×34×51×1131×2291
LCM(9153,9160) = 83841480

Factors of 9153

List of positive integer factors of 9153 that divides 9153 without a remainder.

1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153

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

Least Common Multiple of 9153 and 9160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9153 and 9160, than apply into the LCM equation.

GCF(9153,9160) = 1
LCM(9153,9160) = ( 9153 × 9160) / 1
LCM(9153,9160) = 83841480 / 1
LCM(9153,9160) = 83841480

Properties of LCM 9153 and 9160

(i) The LCM of 9160 and 9153 is associative

LCM of 9153 and 9160 = LCM of 9160 and 9153

Related Least Common Multiples of 9153

Related Least Common Multiples of 9160

Frequently Asked Questions on LCM of 9153 and 9160

1. What is the LCM of 9153 and 9160?

Answer: LCM of 9153 and 9160 is 83841480.

2. What are the Factors of 9153?

Answer: Factors of 9153 are 1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153. There are 10 integers that are factors of 9153. The greatest factor of 9153 is 9153.

3. 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.

4. How to Find the LCM of 9153 and 9160?

Answer:

Least Common Multiple of 9153 and 9160 = 83841480

Step 1: Find the prime factorization of 9153

9153 = 3 x 3 x 3 x 3 x 113

Step 2: Find the prime factorization of 9160

9160 = 2 x 2 x 2 x 5 x 229

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

LCM = 83841480 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 113 x 229

Step 4: Therefore, the least common multiple of 9153 and 9160 is 83841480.