Least Common Multiple of 2187 and 2195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2187 and 2195 the smallest integer that is 4800465 that is divisible by both numbers.

Least Common Multiple (LCM) of 2187 and 2195 is 4800465.

LCM(2187,2195) = 4800465

LCM of 2187 and 2195

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

LCM of:
and

Least Common Multiple of 2187 and 2195

LCM of 2187 and 2195 is 4800465

Least common multiple can be found by multiplying the highest exponent prime factors of 2187 and 2195. First we will calculate the prime factors of 2187 and 2195.

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

Prime Factorization of 2195


5 2195
439 439
1

Prime factors of 2195 are 5,439. Prime factorization of 2195 in exponential form is:

2195 = 51×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 2187 and 2195.

LCM(2187,2195) = 37×51×4391
LCM(2187,2195) = 4800465

Factors of 2187

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

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

Factors of 2195

List of positive integer factors of 2195 that divides 2195 without a remainder.

1, 5, 439, 2195

Least Common Multiple of 2187 and 2195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2187 and 2195, than apply into the LCM equation.

GCF(2187,2195) = 1
LCM(2187,2195) = ( 2187 × 2195) / 1
LCM(2187,2195) = 4800465 / 1
LCM(2187,2195) = 4800465

Properties of LCM 2187 and 2195

(i) The LCM of 2195 and 2187 is associative

LCM of 2187 and 2195 = LCM of 2195 and 2187

Related Least Common Multiples of 2187

Related Least Common Multiples of 2195

Frequently Asked Questions on LCM of 2187 and 2195

1. What is the LCM of 2187 and 2195?

Answer: LCM of 2187 and 2195 is 4800465.

2. 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.

3. What are the Factors of 2195?

Answer: Factors of 2195 are 1, 5, 439, 2195. There are 4 integers that are factors of 2195. The greatest factor of 2195 is 2195.

4. How to Find the LCM of 2187 and 2195?

Answer:

Least Common Multiple of 2187 and 2195 = 4800465

Step 1: Find the prime factorization of 2187

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

Step 2: Find the prime factorization of 2195

2195 = 5 x 439

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

LCM = 4800465 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 439

Step 4: Therefore, the least common multiple of 2187 and 2195 is 4800465.