Least Common Multiple of 9161 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 9161 and 9167 the smallest integer that is 83978887 that is divisible by both numbers.

Least Common Multiple (LCM) of 9161 and 9167 is 83978887.

LCM(9161,9167) = 83978887

LCM of 9161 and 9167

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

LCM of:
and

Least Common Multiple of 9161 and 9167

LCM of 9161 and 9167 is 83978887

Least common multiple can be found by multiplying the highest exponent prime factors of 9161 and 9167. First we will calculate the prime factors of 9161 and 9167.

Prime Factorization of 9161


9161 9161
1

Prime factors of 9161 are 9161. Prime factorization of 9161 in exponential form is:

9161 = 91611

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 9161 and 9167.

LCM(9161,9167) = 891×1031×91611
LCM(9161,9167) = 83978887

Factors of 9161

List of positive integer factors of 9161 that divides 9161 without a remainder.

1, 9161

Factors of 9167

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

1, 89, 103, 9167

Least Common Multiple of 9161 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 9161 and 9167, than apply into the LCM equation.

GCF(9161,9167) = 1
LCM(9161,9167) = ( 9161 × 9167) / 1
LCM(9161,9167) = 83978887 / 1
LCM(9161,9167) = 83978887

Properties of LCM 9161 and 9167

(i) The LCM of 9167 and 9161 is associative

LCM of 9161 and 9167 = LCM of 9167 and 9161

Related Least Common Multiples of 9161

Related Least Common Multiples of 9167

Frequently Asked Questions on LCM of 9161 and 9167

1. What is the LCM of 9161 and 9167?

Answer: LCM of 9161 and 9167 is 83978887.

2. What are the Factors of 9161?

Answer: Factors of 9161 are 1, 9161. There are 2 integers that are factors of 9161. The greatest factor of 9161 is 9161.

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 9161 and 9167?

Answer:

Least Common Multiple of 9161 and 9167 = 83978887

Step 1: Find the prime factorization of 9161

9161 = 9161

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 = 83978887 = 89 x 103 x 9161

Step 4: Therefore, the least common multiple of 9161 and 9167 is 83978887.