Least Common Multiple of 9160 and 9167

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 9167 the smallest integer that is 83969720 that is divisible by both numbers.

Least Common Multiple (LCM) of 9160 and 9167 is 83969720.

LCM(9160,9167) = 83969720

LCM of 9160 and 9167

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

LCM of:
and

Least Common Multiple of 9160 and 9167

LCM of 9160 and 9167 is 83969720

Least common multiple can be found by multiplying the highest exponent prime factors of 9160 and 9167. First we will calculate the prime factors of 9160 and 9167.

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 9167


89 9167
103 103
1

Prime factors of 9167 are 89,103. Prime factorization of 9167 in exponential form is:

9167 = 891×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9160 and 9167.

LCM(9160,9167) = 23×51×891×1031×2291
LCM(9160,9167) = 83969720

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 9167

List of positive integer factors of 9167 that divides 9167 without a remainder.

1, 89, 103, 9167

Least Common Multiple of 9160 and 9167 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 9167, than apply into the LCM equation.

GCF(9160,9167) = 1
LCM(9160,9167) = ( 9160 × 9167) / 1
LCM(9160,9167) = 83969720 / 1
LCM(9160,9167) = 83969720

Properties of LCM 9160 and 9167

(i) The LCM of 9167 and 9160 is associative

LCM of 9160 and 9167 = LCM of 9167 and 9160

Related Least Common Multiples of 9160

Related Least Common Multiples of 9167

Frequently Asked Questions on LCM of 9160 and 9167

1. What is the LCM of 9160 and 9167?

Answer: LCM of 9160 and 9167 is 83969720.

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 9167?

Answer: Factors of 9167 are 1, 89, 103, 9167. There are 4 integers that are factors of 9167. The greatest factor of 9167 is 9167.

4. How to Find the LCM of 9160 and 9167?

Answer:

Least Common Multiple of 9160 and 9167 = 83969720

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 9167

9167 = 89 x 103

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

LCM = 83969720 = 2 x 2 x 2 x 5 x 89 x 103 x 229

Step 4: Therefore, the least common multiple of 9160 and 9167 is 83969720.