Least Common Multiple of 2180 and 2187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2180 and 2187 the smallest integer that is 4767660 that is divisible by both numbers.

Least Common Multiple (LCM) of 2180 and 2187 is 4767660.

LCM(2180,2187) = 4767660

LCM of 2180 and 2187

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

LCM of:
and

Least Common Multiple of 2180 and 2187

LCM of 2180 and 2187 is 4767660

Least common multiple can be found by multiplying the highest exponent prime factors of 2180 and 2187. First we will calculate the prime factors of 2180 and 2187.

Prime Factorization of 2180


2 2180
2 1090
5 545
109 109
1

Prime factors of 2180 are 2, 5,109. Prime factorization of 2180 in exponential form is:

2180 = 22×51×1091

Prime Factorization of 2187


3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 2187 are 3. Prime factorization of 2187 in exponential form is:

2187 = 37

Now multiplying the highest exponent prime factors to calculate the LCM of 2180 and 2187.

LCM(2180,2187) = 22×37×51×1091
LCM(2180,2187) = 4767660

Factors of 2180

List of positive integer factors of 2180 that divides 2180 without a remainder.

1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180

Factors of 2187

List of positive integer factors of 2187 that divides 2187 without a remainder.

1, 3, 9, 27, 81, 243, 729, 2187

Least Common Multiple of 2180 and 2187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2180 and 2187, than apply into the LCM equation.

GCF(2180,2187) = 1
LCM(2180,2187) = ( 2180 × 2187) / 1
LCM(2180,2187) = 4767660 / 1
LCM(2180,2187) = 4767660

Properties of LCM 2180 and 2187

(i) The LCM of 2187 and 2180 is associative

LCM of 2180 and 2187 = LCM of 2187 and 2180

Related Least Common Multiples of 2180

Related Least Common Multiples of 2187

Frequently Asked Questions on LCM of 2180 and 2187

1. What is the LCM of 2180 and 2187?

Answer: LCM of 2180 and 2187 is 4767660.

2. What are the Factors of 2180?

Answer: Factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180. There are 12 integers that are factors of 2180. The greatest factor of 2180 is 2180.

3. What are the Factors of 2187?

Answer: Factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187. There are 8 integers that are factors of 2187. The greatest factor of 2187 is 2187.

4. How to Find the LCM of 2180 and 2187?

Answer:

Least Common Multiple of 2180 and 2187 = 4767660

Step 1: Find the prime factorization of 2180

2180 = 2 x 2 x 5 x 109

Step 2: Find the prime factorization of 2187

2187 = 3 x 3 x 3 x 3 x 3 x 3 x 3

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

LCM = 4767660 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 109

Step 4: Therefore, the least common multiple of 2180 and 2187 is 4767660.