Least Common Multiple of 181 and 189

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 189 the smallest integer that is 34209 that is divisible by both numbers.

Least Common Multiple (LCM) of 181 and 189 is 34209.

LCM(181,189) = 34209

LCM of 181 and 189

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

LCM of:
and

Least Common Multiple of 181 and 189

LCM of 181 and 189 is 34209

Least common multiple can be found by multiplying the highest exponent prime factors of 181 and 189. First we will calculate the prime factors of 181 and 189.

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 189


3 189
3 63
3 21
7 7
1

Prime factors of 189 are 3,7. Prime factorization of 189 in exponential form is:

189 = 33×71

Now multiplying the highest exponent prime factors to calculate the LCM of 181 and 189.

LCM(181,189) = 33×71×1811
LCM(181,189) = 34209

Factors of 181

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

1, 181

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Least Common Multiple of 181 and 189 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 189, than apply into the LCM equation.

GCF(181,189) = 1
LCM(181,189) = ( 181 × 189) / 1
LCM(181,189) = 34209 / 1
LCM(181,189) = 34209

Properties of LCM 181 and 189

(i) The LCM of 189 and 181 is associative

LCM of 181 and 189 = LCM of 189 and 181

Related Least Common Multiples of 181

Related Least Common Multiples of 189

Frequently Asked Questions on LCM of 181 and 189

1. What is the LCM of 181 and 189?

Answer: LCM of 181 and 189 is 34209.

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 189?

Answer: Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189. There are 8 integers that are factors of 189. The greatest factor of 189 is 189.

4. How to Find the LCM of 181 and 189?

Answer:

Least Common Multiple of 181 and 189 = 34209

Step 1: Find the prime factorization of 181

181 = 181

Step 2: Find the prime factorization of 189

189 = 3 x 3 x 3 x 7

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

LCM = 34209 = 3 x 3 x 3 x 7 x 181

Step 4: Therefore, the least common multiple of 181 and 189 is 34209.