Least Common Multiple of 181 and 188

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 188 the smallest integer that is 34028 that is divisible by both numbers.

Least Common Multiple (LCM) of 181 and 188 is 34028.

LCM(181,188) = 34028

LCM of 181 and 188

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

LCM of:
and

Least Common Multiple of 181 and 188

LCM of 181 and 188 is 34028

Least common multiple can be found by multiplying the highest exponent prime factors of 181 and 188. First we will calculate the prime factors of 181 and 188.

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 188


2 188
2 94
47 47
1

Prime factors of 188 are 2,47. Prime factorization of 188 in exponential form is:

188 = 22×471

Now multiplying the highest exponent prime factors to calculate the LCM of 181 and 188.

LCM(181,188) = 22×471×1811
LCM(181,188) = 34028

Factors of 181

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

1, 181

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Least Common Multiple of 181 and 188 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 188, than apply into the LCM equation.

GCF(181,188) = 1
LCM(181,188) = ( 181 × 188) / 1
LCM(181,188) = 34028 / 1
LCM(181,188) = 34028

Properties of LCM 181 and 188

(i) The LCM of 188 and 181 is associative

LCM of 181 and 188 = LCM of 188 and 181

Related Least Common Multiples of 181

Related Least Common Multiples of 188

Frequently Asked Questions on LCM of 181 and 188

1. What is the LCM of 181 and 188?

Answer: LCM of 181 and 188 is 34028.

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 188?

Answer: Factors of 188 are 1, 2, 4, 47, 94, 188. There are 6 integers that are factors of 188. The greatest factor of 188 is 188.

4. How to Find the LCM of 181 and 188?

Answer:

Least Common Multiple of 181 and 188 = 34028

Step 1: Find the prime factorization of 181

181 = 181

Step 2: Find the prime factorization of 188

188 = 2 x 2 x 47

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

LCM = 34028 = 2 x 2 x 47 x 181

Step 4: Therefore, the least common multiple of 181 and 188 is 34028.