Least Common Multiple of 9178 and 9182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9178 and 9182 the smallest integer that is 42136198 that is divisible by both numbers.

Least Common Multiple (LCM) of 9178 and 9182 is 42136198.

LCM(9178,9182) = 42136198

LCM of 9178 and 9182

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

LCM of:
and

Least Common Multiple of 9178 and 9182

LCM of 9178 and 9182 is 42136198

Least common multiple can be found by multiplying the highest exponent prime factors of 9178 and 9182. First we will calculate the prime factors of 9178 and 9182.

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

Prime Factorization of 9182


2 9182
4591 4591
1

Prime factors of 9182 are 2,4591. Prime factorization of 9182 in exponential form is:

9182 = 21×45911

Now multiplying the highest exponent prime factors to calculate the LCM of 9178 and 9182.

LCM(9178,9182) = 21×131×3531×45911
LCM(9178,9182) = 42136198

Factors of 9178

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

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

Factors of 9182

List of positive integer factors of 9182 that divides 9182 without a remainder.

1, 2, 4591, 9182

Least Common Multiple of 9178 and 9182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9178 and 9182, than apply into the LCM equation.

GCF(9178,9182) = 2
LCM(9178,9182) = ( 9178 × 9182) / 2
LCM(9178,9182) = 84272396 / 2
LCM(9178,9182) = 42136198

Properties of LCM 9178 and 9182

(i) The LCM of 9182 and 9178 is associative

LCM of 9178 and 9182 = LCM of 9182 and 9178

Related Least Common Multiples of 9178

Related Least Common Multiples of 9182

Frequently Asked Questions on LCM of 9178 and 9182

1. What is the LCM of 9178 and 9182?

Answer: LCM of 9178 and 9182 is 42136198.

2. 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.

3. What are the Factors of 9182?

Answer: Factors of 9182 are 1, 2, 4591, 9182. There are 4 integers that are factors of 9182. The greatest factor of 9182 is 9182.

4. How to Find the LCM of 9178 and 9182?

Answer:

Least Common Multiple of 9178 and 9182 = 42136198

Step 1: Find the prime factorization of 9178

9178 = 2 x 13 x 353

Step 2: Find the prime factorization of 9182

9182 = 2 x 4591

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

LCM = 42136198 = 2 x 13 x 353 x 4591

Step 4: Therefore, the least common multiple of 9178 and 9182 is 42136198.