Least Common Multiple of 2190 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 2190 and 2195 the smallest integer that is 961410 that is divisible by both numbers.

Least Common Multiple (LCM) of 2190 and 2195 is 961410.

LCM(2190,2195) = 961410

LCM of 2190 and 2195

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

LCM of:
and

Least Common Multiple of 2190 and 2195

LCM of 2190 and 2195 is 961410

Least common multiple can be found by multiplying the highest exponent prime factors of 2190 and 2195. First we will calculate the prime factors of 2190 and 2195.

Prime Factorization of 2190


2 2190
3 1095
5 365
73 73
1

Prime factors of 2190 are 2, 3, 5,73. Prime factorization of 2190 in exponential form is:

2190 = 21×31×51×731

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 2190 and 2195.

LCM(2190,2195) = 21×31×51×731×4391
LCM(2190,2195) = 961410

Factors of 2190

List of positive integer factors of 2190 that divides 2190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190

Factors of 2195

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

1, 5, 439, 2195

Least Common Multiple of 2190 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 2190 and 2195, than apply into the LCM equation.

GCF(2190,2195) = 5
LCM(2190,2195) = ( 2190 × 2195) / 5
LCM(2190,2195) = 4807050 / 5
LCM(2190,2195) = 961410

Properties of LCM 2190 and 2195

(i) The LCM of 2195 and 2190 is associative

LCM of 2190 and 2195 = LCM of 2195 and 2190

Related Least Common Multiples of 2190

Related Least Common Multiples of 2195

Frequently Asked Questions on LCM of 2190 and 2195

1. What is the LCM of 2190 and 2195?

Answer: LCM of 2190 and 2195 is 961410.

2. What are the Factors of 2190?

Answer: Factors of 2190 are 1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190. There are 16 integers that are factors of 2190. The greatest factor of 2190 is 2190.

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 2190 and 2195?

Answer:

Least Common Multiple of 2190 and 2195 = 961410

Step 1: Find the prime factorization of 2190

2190 = 2 x 3 x 5 x 73

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 = 961410 = 2 x 3 x 5 x 73 x 439

Step 4: Therefore, the least common multiple of 2190 and 2195 is 961410.