Least Common Multiple of 9167 and 9174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9167 and 9174 the smallest integer that is 84098058 that is divisible by both numbers.

Least Common Multiple (LCM) of 9167 and 9174 is 84098058.

LCM(9167,9174) = 84098058

LCM of 9167 and 9174

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

LCM of:
and

Least Common Multiple of 9167 and 9174

LCM of 9167 and 9174 is 84098058

Least common multiple can be found by multiplying the highest exponent prime factors of 9167 and 9174. First we will calculate the prime factors of 9167 and 9174.

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

Prime Factorization of 9174


2 9174
3 4587
11 1529
139 139
1

Prime factors of 9174 are 2, 3, 11,139. Prime factorization of 9174 in exponential form is:

9174 = 21×31×111×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 9167 and 9174.

LCM(9167,9174) = 21×31×111×891×1031×1391
LCM(9167,9174) = 84098058

Factors of 9167

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

1, 89, 103, 9167

Factors of 9174

List of positive integer factors of 9174 that divides 9174 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 139, 278, 417, 834, 1529, 3058, 4587, 9174

Least Common Multiple of 9167 and 9174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9167 and 9174, than apply into the LCM equation.

GCF(9167,9174) = 1
LCM(9167,9174) = ( 9167 × 9174) / 1
LCM(9167,9174) = 84098058 / 1
LCM(9167,9174) = 84098058

Properties of LCM 9167 and 9174

(i) The LCM of 9174 and 9167 is associative

LCM of 9167 and 9174 = LCM of 9174 and 9167

Related Least Common Multiples of 9167

Related Least Common Multiples of 9174

Frequently Asked Questions on LCM of 9167 and 9174

1. What is the LCM of 9167 and 9174?

Answer: LCM of 9167 and 9174 is 84098058.

2. 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.

3. What are the Factors of 9174?

Answer: Factors of 9174 are 1, 2, 3, 6, 11, 22, 33, 66, 139, 278, 417, 834, 1529, 3058, 4587, 9174. There are 16 integers that are factors of 9174. The greatest factor of 9174 is 9174.

4. How to Find the LCM of 9167 and 9174?

Answer:

Least Common Multiple of 9167 and 9174 = 84098058

Step 1: Find the prime factorization of 9167

9167 = 89 x 103

Step 2: Find the prime factorization of 9174

9174 = 2 x 3 x 11 x 139

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

LCM = 84098058 = 2 x 3 x 11 x 89 x 103 x 139

Step 4: Therefore, the least common multiple of 9167 and 9174 is 84098058.