Least Common Multiple of 197 and 205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 197 and 205 the smallest integer that is 40385 that is divisible by both numbers.

Least Common Multiple (LCM) of 197 and 205 is 40385.

LCM(197,205) = 40385

LCM of 197 and 205

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

LCM of:
and

Least Common Multiple of 197 and 205

LCM of 197 and 205 is 40385

Least common multiple can be found by multiplying the highest exponent prime factors of 197 and 205. First we will calculate the prime factors of 197 and 205.

Prime Factorization of 197


197 197
1

Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:

197 = 1971

Prime Factorization of 205


5 205
41 41
1

Prime factors of 205 are 5,41. Prime factorization of 205 in exponential form is:

205 = 51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 197 and 205.

LCM(197,205) = 51×411×1971
LCM(197,205) = 40385

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1, 197

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Least Common Multiple of 197 and 205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 197 and 205, than apply into the LCM equation.

GCF(197,205) = 1
LCM(197,205) = ( 197 × 205) / 1
LCM(197,205) = 40385 / 1
LCM(197,205) = 40385

Properties of LCM 197 and 205

(i) The LCM of 205 and 197 is associative

LCM of 197 and 205 = LCM of 205 and 197

Related Least Common Multiples of 197

Related Least Common Multiples of 205

Frequently Asked Questions on LCM of 197 and 205

1. What is the LCM of 197 and 205?

Answer: LCM of 197 and 205 is 40385.

2. What are the Factors of 197?

Answer: Factors of 197 are 1, 197. There are 2 integers that are factors of 197. The greatest factor of 197 is 197.

3. What are the Factors of 205?

Answer: Factors of 205 are 1, 5, 41, 205. There are 4 integers that are factors of 205. The greatest factor of 205 is 205.

4. How to Find the LCM of 197 and 205?

Answer:

Least Common Multiple of 197 and 205 = 40385

Step 1: Find the prime factorization of 197

197 = 197

Step 2: Find the prime factorization of 205

205 = 5 x 41

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

LCM = 40385 = 5 x 41 x 197

Step 4: Therefore, the least common multiple of 197 and 205 is 40385.