Least Common Multiple of 181 and 187

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 187 the smallest integer that is 33847 that is divisible by both numbers.

Least Common Multiple (LCM) of 181 and 187 is 33847.

LCM(181,187) = 33847

LCM of 181 and 187

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

LCM of:
and

Least Common Multiple of 181 and 187

LCM of 181 and 187 is 33847

Least common multiple can be found by multiplying the highest exponent prime factors of 181 and 187. First we will calculate the prime factors of 181 and 187.

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 187


11 187
17 17
1

Prime factors of 187 are 11,17. Prime factorization of 187 in exponential form is:

187 = 111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 181 and 187.

LCM(181,187) = 111×171×1811
LCM(181,187) = 33847

Factors of 181

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

1, 181

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Least Common Multiple of 181 and 187 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 187, than apply into the LCM equation.

GCF(181,187) = 1
LCM(181,187) = ( 181 × 187) / 1
LCM(181,187) = 33847 / 1
LCM(181,187) = 33847

Properties of LCM 181 and 187

(i) The LCM of 187 and 181 is associative

LCM of 181 and 187 = LCM of 187 and 181

Related Least Common Multiples of 181

Related Least Common Multiples of 187

Frequently Asked Questions on LCM of 181 and 187

1. What is the LCM of 181 and 187?

Answer: LCM of 181 and 187 is 33847.

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 187?

Answer: Factors of 187 are 1, 11, 17, 187. There are 4 integers that are factors of 187. The greatest factor of 187 is 187.

4. How to Find the LCM of 181 and 187?

Answer:

Least Common Multiple of 181 and 187 = 33847

Step 1: Find the prime factorization of 181

181 = 181

Step 2: Find the prime factorization of 187

187 = 11 x 17

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

LCM = 33847 = 11 x 17 x 181

Step 4: Therefore, the least common multiple of 181 and 187 is 33847.