Least Common Multiple of 181 and 182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 181 and 182 the smallest integer that is 32942 that is divisible by both numbers.

Least Common Multiple (LCM) of 181 and 182 is 32942.

LCM(181,182) = 32942

LCM of 181 and 182

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

LCM of:
and

Least Common Multiple of 181 and 182

LCM of 181 and 182 is 32942

Least common multiple can be found by multiplying the highest exponent prime factors of 181 and 182. First we will calculate the prime factors of 181 and 182.

Prime Factorization of 181


181 181
1

Prime factors of 181 are 181. Prime factorization of 181 in exponential form is:

181 = 1811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 181 and 182.

LCM(181,182) = 21×71×131×1811
LCM(181,182) = 32942

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1, 181

Factors of 182

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

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

Least Common Multiple of 181 and 182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 181 and 182, than apply into the LCM equation.

GCF(181,182) = 1
LCM(181,182) = ( 181 × 182) / 1
LCM(181,182) = 32942 / 1
LCM(181,182) = 32942

Properties of LCM 181 and 182

(i) The LCM of 182 and 181 is associative

LCM of 181 and 182 = LCM of 182 and 181

Related Least Common Multiples of 181

Related Least Common Multiples of 182

Frequently Asked Questions on LCM of 181 and 182

1. What is the LCM of 181 and 182?

Answer: LCM of 181 and 182 is 32942.

2. What are the Factors of 181?

Answer: Factors of 181 are 1, 181. There are 2 integers that are factors of 181. The greatest factor of 181 is 181.

3. 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.

4. How to Find the LCM of 181 and 182?

Answer:

Least Common Multiple of 181 and 182 = 32942

Step 1: Find the prime factorization of 181

181 = 181

Step 2: Find the prime factorization of 182

182 = 2 x 7 x 13

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

LCM = 32942 = 2 x 7 x 13 x 181

Step 4: Therefore, the least common multiple of 181 and 182 is 32942.