Least Common Multiple of 9182 and 9189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9182 and 9189 the smallest integer that is 84373398 that is divisible by both numbers.

Least Common Multiple (LCM) of 9182 and 9189 is 84373398.

LCM(9182,9189) = 84373398

LCM of 9182 and 9189

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

LCM of:
and

Least Common Multiple of 9182 and 9189

LCM of 9182 and 9189 is 84373398

Least common multiple can be found by multiplying the highest exponent prime factors of 9182 and 9189. First we will calculate the prime factors of 9182 and 9189.

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

Prime Factorization of 9189


3 9189
3 3063
1021 1021
1

Prime factors of 9189 are 3,1021. Prime factorization of 9189 in exponential form is:

9189 = 32×10211

Now multiplying the highest exponent prime factors to calculate the LCM of 9182 and 9189.

LCM(9182,9189) = 21×32×10211×45911
LCM(9182,9189) = 84373398

Factors of 9182

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

1, 2, 4591, 9182

Factors of 9189

List of positive integer factors of 9189 that divides 9189 without a remainder.

1, 3, 9, 1021, 3063, 9189

Least Common Multiple of 9182 and 9189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9182 and 9189, than apply into the LCM equation.

GCF(9182,9189) = 1
LCM(9182,9189) = ( 9182 × 9189) / 1
LCM(9182,9189) = 84373398 / 1
LCM(9182,9189) = 84373398

Properties of LCM 9182 and 9189

(i) The LCM of 9189 and 9182 is associative

LCM of 9182 and 9189 = LCM of 9189 and 9182

Related Least Common Multiples of 9182

Related Least Common Multiples of 9189

Frequently Asked Questions on LCM of 9182 and 9189

1. What is the LCM of 9182 and 9189?

Answer: LCM of 9182 and 9189 is 84373398.

2. 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.

3. What are the Factors of 9189?

Answer: Factors of 9189 are 1, 3, 9, 1021, 3063, 9189. There are 6 integers that are factors of 9189. The greatest factor of 9189 is 9189.

4. How to Find the LCM of 9182 and 9189?

Answer:

Least Common Multiple of 9182 and 9189 = 84373398

Step 1: Find the prime factorization of 9182

9182 = 2 x 4591

Step 2: Find the prime factorization of 9189

9189 = 3 x 3 x 1021

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

LCM = 84373398 = 2 x 3 x 3 x 1021 x 4591

Step 4: Therefore, the least common multiple of 9182 and 9189 is 84373398.