Least Common Multiple of 181 and 183

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 183 the smallest integer that is 33123 that is divisible by both numbers.

Least Common Multiple (LCM) of 181 and 183 is 33123.

LCM(181,183) = 33123

LCM of 181 and 183

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

LCM of:
and

Least Common Multiple of 181 and 183

LCM of 181 and 183 is 33123

Least common multiple can be found by multiplying the highest exponent prime factors of 181 and 183. First we will calculate the prime factors of 181 and 183.

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 183


3 183
61 61
1

Prime factors of 183 are 3,61. Prime factorization of 183 in exponential form is:

183 = 31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 181 and 183.

LCM(181,183) = 31×611×1811
LCM(181,183) = 33123

Factors of 181

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

1, 181

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Least Common Multiple of 181 and 183 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 183, than apply into the LCM equation.

GCF(181,183) = 1
LCM(181,183) = ( 181 × 183) / 1
LCM(181,183) = 33123 / 1
LCM(181,183) = 33123

Properties of LCM 181 and 183

(i) The LCM of 183 and 181 is associative

LCM of 181 and 183 = LCM of 183 and 181

Related Least Common Multiples of 181

Related Least Common Multiples of 183

Frequently Asked Questions on LCM of 181 and 183

1. What is the LCM of 181 and 183?

Answer: LCM of 181 and 183 is 33123.

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 183?

Answer: Factors of 183 are 1, 3, 61, 183. There are 4 integers that are factors of 183. The greatest factor of 183 is 183.

4. How to Find the LCM of 181 and 183?

Answer:

Least Common Multiple of 181 and 183 = 33123

Step 1: Find the prime factorization of 181

181 = 181

Step 2: Find the prime factorization of 183

183 = 3 x 61

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

LCM = 33123 = 3 x 61 x 181

Step 4: Therefore, the least common multiple of 181 and 183 is 33123.