Least Common Multiple of 180 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 180 and 187 the smallest integer that is 33660 that is divisible by both numbers.

Least Common Multiple (LCM) of 180 and 187 is 33660.

LCM(180,187) = 33660

LCM of 180 and 187

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

LCM of:
and

Least Common Multiple of 180 and 187

LCM of 180 and 187 is 33660

Least common multiple can be found by multiplying the highest exponent prime factors of 180 and 187. First we will calculate the prime factors of 180 and 187.

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 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 180 and 187.

LCM(180,187) = 22×32×51×111×171
LCM(180,187) = 33660

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 187

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

1, 11, 17, 187

Least Common Multiple of 180 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 180 and 187, than apply into the LCM equation.

GCF(180,187) = 1
LCM(180,187) = ( 180 × 187) / 1
LCM(180,187) = 33660 / 1
LCM(180,187) = 33660

Properties of LCM 180 and 187

(i) The LCM of 187 and 180 is associative

LCM of 180 and 187 = LCM of 187 and 180

Related Least Common Multiples of 180

Related Least Common Multiples of 187

Frequently Asked Questions on LCM of 180 and 187

1. What is the LCM of 180 and 187?

Answer: LCM of 180 and 187 is 33660.

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 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 180 and 187?

Answer:

Least Common Multiple of 180 and 187 = 33660

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 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 = 33660 = 2 x 2 x 3 x 3 x 5 x 11 x 17

Step 4: Therefore, the least common multiple of 180 and 187 is 33660.