Least Common Multiple of 182 and 185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 182 and 185 the smallest integer that is 33670 that is divisible by both numbers.

Least Common Multiple (LCM) of 182 and 185 is 33670.

LCM(182,185) = 33670

LCM of 182 and 185

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

LCM of:
and

Least Common Multiple of 182 and 185

LCM of 182 and 185 is 33670

Least common multiple can be found by multiplying the highest exponent prime factors of 182 and 185. First we will calculate the prime factors of 182 and 185.

Prime Factorization of 182


2 182
7 91
13 13
1

Prime factors of 182 are 2, 7,13. Prime factorization of 182 in exponential form is:

182 = 21×71×131

Prime Factorization of 185


5 185
37 37
1

Prime factors of 185 are 5,37. Prime factorization of 185 in exponential form is:

185 = 51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 182 and 185.

LCM(182,185) = 21×51×71×131×371
LCM(182,185) = 33670

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Least Common Multiple of 182 and 185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 182 and 185, than apply into the LCM equation.

GCF(182,185) = 1
LCM(182,185) = ( 182 × 185) / 1
LCM(182,185) = 33670 / 1
LCM(182,185) = 33670

Properties of LCM 182 and 185

(i) The LCM of 185 and 182 is associative

LCM of 182 and 185 = LCM of 185 and 182

Related Least Common Multiples of 182

Related Least Common Multiples of 185

Frequently Asked Questions on LCM of 182 and 185

1. What is the LCM of 182 and 185?

Answer: LCM of 182 and 185 is 33670.

2. What are the Factors of 182?

Answer: Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. There are 8 integers that are factors of 182. The greatest factor of 182 is 182.

3. What are the Factors of 185?

Answer: Factors of 185 are 1, 5, 37, 185. There are 4 integers that are factors of 185. The greatest factor of 185 is 185.

4. How to Find the LCM of 182 and 185?

Answer:

Least Common Multiple of 182 and 185 = 33670

Step 1: Find the prime factorization of 182

182 = 2 x 7 x 13

Step 2: Find the prime factorization of 185

185 = 5 x 37

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

LCM = 33670 = 2 x 5 x 7 x 13 x 37

Step 4: Therefore, the least common multiple of 182 and 185 is 33670.