Least Common Multiple of 2197 and 2205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2197 and 2205 the smallest integer that is 4844385 that is divisible by both numbers.

Least Common Multiple (LCM) of 2197 and 2205 is 4844385.

LCM(2197,2205) = 4844385

LCM of 2197 and 2205

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

LCM of:
and

Least Common Multiple of 2197 and 2205

LCM of 2197 and 2205 is 4844385

Least common multiple can be found by multiplying the highest exponent prime factors of 2197 and 2205. First we will calculate the prime factors of 2197 and 2205.

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

Prime Factorization of 2205


3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 2205 are 3, 5,7. Prime factorization of 2205 in exponential form is:

2205 = 32×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 2197 and 2205.

LCM(2197,2205) = 32×51×72×133
LCM(2197,2205) = 4844385

Factors of 2197

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

1, 13, 169, 2197

Factors of 2205

List of positive integer factors of 2205 that divides 2205 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205

Least Common Multiple of 2197 and 2205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2197 and 2205, than apply into the LCM equation.

GCF(2197,2205) = 1
LCM(2197,2205) = ( 2197 × 2205) / 1
LCM(2197,2205) = 4844385 / 1
LCM(2197,2205) = 4844385

Properties of LCM 2197 and 2205

(i) The LCM of 2205 and 2197 is associative

LCM of 2197 and 2205 = LCM of 2205 and 2197

Related Least Common Multiples of 2197

Related Least Common Multiples of 2205

Frequently Asked Questions on LCM of 2197 and 2205

1. What is the LCM of 2197 and 2205?

Answer: LCM of 2197 and 2205 is 4844385.

2. 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.

3. What are the Factors of 2205?

Answer: Factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205. There are 18 integers that are factors of 2205. The greatest factor of 2205 is 2205.

4. How to Find the LCM of 2197 and 2205?

Answer:

Least Common Multiple of 2197 and 2205 = 4844385

Step 1: Find the prime factorization of 2197

2197 = 13 x 13 x 13

Step 2: Find the prime factorization of 2205

2205 = 3 x 3 x 5 x 7 x 7

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

LCM = 4844385 = 3 x 3 x 5 x 7 x 7 x 13 x 13 x 13

Step 4: Therefore, the least common multiple of 2197 and 2205 is 4844385.