Least Common Multiple of 2190 and 2193

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 2193 the smallest integer that is 1600890 that is divisible by both numbers.

Least Common Multiple (LCM) of 2190 and 2193 is 1600890.

LCM(2190,2193) = 1600890

LCM of 2190 and 2193

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

LCM of:
and

Least Common Multiple of 2190 and 2193

LCM of 2190 and 2193 is 1600890

Least common multiple can be found by multiplying the highest exponent prime factors of 2190 and 2193. First we will calculate the prime factors of 2190 and 2193.

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 2193


3 2193
17 731
43 43
1

Prime factors of 2193 are 3, 17,43. Prime factorization of 2193 in exponential form is:

2193 = 31×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2190 and 2193.

LCM(2190,2193) = 21×31×51×171×431×731
LCM(2190,2193) = 1600890

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 2193

List of positive integer factors of 2193 that divides 2193 without a remainder.

1, 3, 17, 43, 51, 129, 731, 2193

Least Common Multiple of 2190 and 2193 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 2193, than apply into the LCM equation.

GCF(2190,2193) = 3
LCM(2190,2193) = ( 2190 × 2193) / 3
LCM(2190,2193) = 4802670 / 3
LCM(2190,2193) = 1600890

Properties of LCM 2190 and 2193

(i) The LCM of 2193 and 2190 is associative

LCM of 2190 and 2193 = LCM of 2193 and 2190

Related Least Common Multiples of 2190

Related Least Common Multiples of 2193

Frequently Asked Questions on LCM of 2190 and 2193

1. What is the LCM of 2190 and 2193?

Answer: LCM of 2190 and 2193 is 1600890.

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 2193?

Answer: Factors of 2193 are 1, 3, 17, 43, 51, 129, 731, 2193. There are 8 integers that are factors of 2193. The greatest factor of 2193 is 2193.

4. How to Find the LCM of 2190 and 2193?

Answer:

Least Common Multiple of 2190 and 2193 = 1600890

Step 1: Find the prime factorization of 2190

2190 = 2 x 3 x 5 x 73

Step 2: Find the prime factorization of 2193

2193 = 3 x 17 x 43

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

LCM = 1600890 = 2 x 3 x 5 x 17 x 43 x 73

Step 4: Therefore, the least common multiple of 2190 and 2193 is 1600890.