Least Common Multiple of 180 and 181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 180 and 181 the smallest integer that is 32580 that is divisible by both numbers.

Least Common Multiple (LCM) of 180 and 181 is 32580.

LCM(180,181) = 32580

LCM of 180 and 181

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

LCM of:
and

Least Common Multiple of 180 and 181

LCM of 180 and 181 is 32580

Least common multiple can be found by multiplying the highest exponent prime factors of 180 and 181. First we will calculate the prime factors of 180 and 181.

Prime Factorization of 180


2 180
2 90
3 45
3 15
5 5
1

Prime factors of 180 are 2, 3,5. Prime factorization of 180 in exponential form is:

180 = 22×32×51

Prime Factorization of 181


181 181
1

Prime factors of 181 are 181. Prime factorization of 181 in exponential form is:

181 = 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 180 and 181.

LCM(180,181) = 22×32×51×1811
LCM(180,181) = 32580

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Factors of 181

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

1, 181

Least Common Multiple of 180 and 181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 180 and 181, than apply into the LCM equation.

GCF(180,181) = 1
LCM(180,181) = ( 180 × 181) / 1
LCM(180,181) = 32580 / 1
LCM(180,181) = 32580

Properties of LCM 180 and 181

(i) The LCM of 181 and 180 is associative

LCM of 180 and 181 = LCM of 181 and 180

Related Least Common Multiples of 180

Related Least Common Multiples of 181

Frequently Asked Questions on LCM of 180 and 181

1. What is the LCM of 180 and 181?

Answer: LCM of 180 and 181 is 32580.

2. What are the Factors of 180?

Answer: Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180. There are 18 integers that are factors of 180. The greatest factor of 180 is 180.

3. 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.

4. How to Find the LCM of 180 and 181?

Answer:

Least Common Multiple of 180 and 181 = 32580

Step 1: Find the prime factorization of 180

180 = 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 181

181 = 181

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

LCM = 32580 = 2 x 2 x 3 x 3 x 5 x 181

Step 4: Therefore, the least common multiple of 180 and 181 is 32580.