Least Common Multiple of 2190 and 2197

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 2197 the smallest integer that is 4811430 that is divisible by both numbers.

Least Common Multiple (LCM) of 2190 and 2197 is 4811430.

LCM(2190,2197) = 4811430

LCM of 2190 and 2197

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

LCM of:
and

Least Common Multiple of 2190 and 2197

LCM of 2190 and 2197 is 4811430

Least common multiple can be found by multiplying the highest exponent prime factors of 2190 and 2197. First we will calculate the prime factors of 2190 and 2197.

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 2197


13 2197
13 169
13 13
1

Prime factors of 2197 are 13. Prime factorization of 2197 in exponential form is:

2197 = 133

Now multiplying the highest exponent prime factors to calculate the LCM of 2190 and 2197.

LCM(2190,2197) = 21×31×51×133×731
LCM(2190,2197) = 4811430

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 2197

List of positive integer factors of 2197 that divides 2197 without a remainder.

1, 13, 169, 2197

Least Common Multiple of 2190 and 2197 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 2197, than apply into the LCM equation.

GCF(2190,2197) = 1
LCM(2190,2197) = ( 2190 × 2197) / 1
LCM(2190,2197) = 4811430 / 1
LCM(2190,2197) = 4811430

Properties of LCM 2190 and 2197

(i) The LCM of 2197 and 2190 is associative

LCM of 2190 and 2197 = LCM of 2197 and 2190

Related Least Common Multiples of 2190

Related Least Common Multiples of 2197

Frequently Asked Questions on LCM of 2190 and 2197

1. What is the LCM of 2190 and 2197?

Answer: LCM of 2190 and 2197 is 4811430.

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 2197?

Answer: Factors of 2197 are 1, 13, 169, 2197. There are 4 integers that are factors of 2197. The greatest factor of 2197 is 2197.

4. How to Find the LCM of 2190 and 2197?

Answer:

Least Common Multiple of 2190 and 2197 = 4811430

Step 1: Find the prime factorization of 2190

2190 = 2 x 3 x 5 x 73

Step 2: Find the prime factorization of 2197

2197 = 13 x 13 x 13

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

LCM = 4811430 = 2 x 3 x 5 x 13 x 13 x 13 x 73

Step 4: Therefore, the least common multiple of 2190 and 2197 is 4811430.