Least Common Multiple of 9166 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 9166 and 9174 the smallest integer that is 42044442 that is divisible by both numbers.

Least Common Multiple (LCM) of 9166 and 9174 is 42044442.

LCM(9166,9174) = 42044442

LCM of 9166 and 9174

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

LCM of:
and

Least Common Multiple of 9166 and 9174

LCM of 9166 and 9174 is 42044442

Least common multiple can be found by multiplying the highest exponent prime factors of 9166 and 9174. First we will calculate the prime factors of 9166 and 9174.

Prime Factorization of 9166


2 9166
4583 4583
1

Prime factors of 9166 are 2,4583. Prime factorization of 9166 in exponential form is:

9166 = 21×45831

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 9166 and 9174.

LCM(9166,9174) = 21×31×111×1391×45831
LCM(9166,9174) = 42044442

Factors of 9166

List of positive integer factors of 9166 that divides 9166 without a remainder.

1, 2, 4583, 9166

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 9166 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 9166 and 9174, than apply into the LCM equation.

GCF(9166,9174) = 2
LCM(9166,9174) = ( 9166 × 9174) / 2
LCM(9166,9174) = 84088884 / 2
LCM(9166,9174) = 42044442

Properties of LCM 9166 and 9174

(i) The LCM of 9174 and 9166 is associative

LCM of 9166 and 9174 = LCM of 9174 and 9166

Related Least Common Multiples of 9166

Related Least Common Multiples of 9174

Frequently Asked Questions on LCM of 9166 and 9174

1. What is the LCM of 9166 and 9174?

Answer: LCM of 9166 and 9174 is 42044442.

2. What are the Factors of 9166?

Answer: Factors of 9166 are 1, 2, 4583, 9166. There are 4 integers that are factors of 9166. The greatest factor of 9166 is 9166.

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 9166 and 9174?

Answer:

Least Common Multiple of 9166 and 9174 = 42044442

Step 1: Find the prime factorization of 9166

9166 = 2 x 4583

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 = 42044442 = 2 x 3 x 11 x 139 x 4583

Step 4: Therefore, the least common multiple of 9166 and 9174 is 42044442.