Least Common Multiple of 9174 and 9178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9174 and 9178 the smallest integer that is 42099486 that is divisible by both numbers.

Least Common Multiple (LCM) of 9174 and 9178 is 42099486.

LCM(9174,9178) = 42099486

LCM of 9174 and 9178

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

LCM of:
and

Least Common Multiple of 9174 and 9178

LCM of 9174 and 9178 is 42099486

Least common multiple can be found by multiplying the highest exponent prime factors of 9174 and 9178. First we will calculate the prime factors of 9174 and 9178.

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

Prime Factorization of 9178


2 9178
13 4589
353 353
1

Prime factors of 9178 are 2, 13,353. Prime factorization of 9178 in exponential form is:

9178 = 21×131×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 9174 and 9178.

LCM(9174,9178) = 21×31×111×131×1391×3531
LCM(9174,9178) = 42099486

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

Factors of 9178

List of positive integer factors of 9178 that divides 9178 without a remainder.

1, 2, 13, 26, 353, 706, 4589, 9178

Least Common Multiple of 9174 and 9178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9174 and 9178, than apply into the LCM equation.

GCF(9174,9178) = 2
LCM(9174,9178) = ( 9174 × 9178) / 2
LCM(9174,9178) = 84198972 / 2
LCM(9174,9178) = 42099486

Properties of LCM 9174 and 9178

(i) The LCM of 9178 and 9174 is associative

LCM of 9174 and 9178 = LCM of 9178 and 9174

Related Least Common Multiples of 9174

Related Least Common Multiples of 9178

Frequently Asked Questions on LCM of 9174 and 9178

1. What is the LCM of 9174 and 9178?

Answer: LCM of 9174 and 9178 is 42099486.

2. 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.

3. What are the Factors of 9178?

Answer: Factors of 9178 are 1, 2, 13, 26, 353, 706, 4589, 9178. There are 8 integers that are factors of 9178. The greatest factor of 9178 is 9178.

4. How to Find the LCM of 9174 and 9178?

Answer:

Least Common Multiple of 9174 and 9178 = 42099486

Step 1: Find the prime factorization of 9174

9174 = 2 x 3 x 11 x 139

Step 2: Find the prime factorization of 9178

9178 = 2 x 13 x 353

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

LCM = 42099486 = 2 x 3 x 11 x 13 x 139 x 353

Step 4: Therefore, the least common multiple of 9174 and 9178 is 42099486.