Least Common Multiple of 180 and 183

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 183 the smallest integer that is 10980 that is divisible by both numbers.

Least Common Multiple (LCM) of 180 and 183 is 10980.

LCM(180,183) = 10980

LCM of 180 and 183

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

LCM of:
and

Least Common Multiple of 180 and 183

LCM of 180 and 183 is 10980

Least common multiple can be found by multiplying the highest exponent prime factors of 180 and 183. First we will calculate the prime factors of 180 and 183.

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 183


3 183
61 61
1

Prime factors of 183 are 3,61. Prime factorization of 183 in exponential form is:

183 = 31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 180 and 183.

LCM(180,183) = 22×32×51×611
LCM(180,183) = 10980

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 183

List of positive integer factors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Least Common Multiple of 180 and 183 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 183, than apply into the LCM equation.

GCF(180,183) = 3
LCM(180,183) = ( 180 × 183) / 3
LCM(180,183) = 32940 / 3
LCM(180,183) = 10980

Properties of LCM 180 and 183

(i) The LCM of 183 and 180 is associative

LCM of 180 and 183 = LCM of 183 and 180

Related Least Common Multiples of 180

Related Least Common Multiples of 183

Frequently Asked Questions on LCM of 180 and 183

1. What is the LCM of 180 and 183?

Answer: LCM of 180 and 183 is 10980.

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 183?

Answer: Factors of 183 are 1, 3, 61, 183. There are 4 integers that are factors of 183. The greatest factor of 183 is 183.

4. How to Find the LCM of 180 and 183?

Answer:

Least Common Multiple of 180 and 183 = 10980

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 183

183 = 3 x 61

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

LCM = 10980 = 2 x 2 x 3 x 3 x 5 x 61

Step 4: Therefore, the least common multiple of 180 and 183 is 10980.