Least Common Multiple of 181 and 184

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 184 the smallest integer that is 33304 that is divisible by both numbers.

Least Common Multiple (LCM) of 181 and 184 is 33304.

LCM(181,184) = 33304

LCM of 181 and 184

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

LCM of:
and

Least Common Multiple of 181 and 184

LCM of 181 and 184 is 33304

Least common multiple can be found by multiplying the highest exponent prime factors of 181 and 184. First we will calculate the prime factors of 181 and 184.

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 184


2 184
2 92
2 46
23 23
1

Prime factors of 184 are 2,23. Prime factorization of 184 in exponential form is:

184 = 23×231

Now multiplying the highest exponent prime factors to calculate the LCM of 181 and 184.

LCM(181,184) = 23×231×1811
LCM(181,184) = 33304

Factors of 181

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

1, 181

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Least Common Multiple of 181 and 184 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 184, than apply into the LCM equation.

GCF(181,184) = 1
LCM(181,184) = ( 181 × 184) / 1
LCM(181,184) = 33304 / 1
LCM(181,184) = 33304

Properties of LCM 181 and 184

(i) The LCM of 184 and 181 is associative

LCM of 181 and 184 = LCM of 184 and 181

Related Least Common Multiples of 181

Related Least Common Multiples of 184

Frequently Asked Questions on LCM of 181 and 184

1. What is the LCM of 181 and 184?

Answer: LCM of 181 and 184 is 33304.

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 184?

Answer: Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184. There are 8 integers that are factors of 184. The greatest factor of 184 is 184.

4. How to Find the LCM of 181 and 184?

Answer:

Least Common Multiple of 181 and 184 = 33304

Step 1: Find the prime factorization of 181

181 = 181

Step 2: Find the prime factorization of 184

184 = 2 x 2 x 2 x 23

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

LCM = 33304 = 2 x 2 x 2 x 23 x 181

Step 4: Therefore, the least common multiple of 181 and 184 is 33304.