Least Common Multiple of 197 and 204

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 204 the smallest integer that is 40188 that is divisible by both numbers.

Least Common Multiple (LCM) of 197 and 204 is 40188.

LCM(197,204) = 40188

LCM of 197 and 204

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

LCM of:
and

Least Common Multiple of 197 and 204

LCM of 197 and 204 is 40188

Least common multiple can be found by multiplying the highest exponent prime factors of 197 and 204. First we will calculate the prime factors of 197 and 204.

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 204


2 204
2 102
3 51
17 17
1

Prime factors of 204 are 2, 3,17. Prime factorization of 204 in exponential form is:

204 = 22×31×171

Now multiplying the highest exponent prime factors to calculate the LCM of 197 and 204.

LCM(197,204) = 22×31×171×1971
LCM(197,204) = 40188

Factors of 197

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

1, 197

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Least Common Multiple of 197 and 204 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 204, than apply into the LCM equation.

GCF(197,204) = 1
LCM(197,204) = ( 197 × 204) / 1
LCM(197,204) = 40188 / 1
LCM(197,204) = 40188

Properties of LCM 197 and 204

(i) The LCM of 204 and 197 is associative

LCM of 197 and 204 = LCM of 204 and 197

Related Least Common Multiples of 197

Related Least Common Multiples of 204

Frequently Asked Questions on LCM of 197 and 204

1. What is the LCM of 197 and 204?

Answer: LCM of 197 and 204 is 40188.

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 204?

Answer: Factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204. There are 12 integers that are factors of 204. The greatest factor of 204 is 204.

4. How to Find the LCM of 197 and 204?

Answer:

Least Common Multiple of 197 and 204 = 40188

Step 1: Find the prime factorization of 197

197 = 197

Step 2: Find the prime factorization of 204

204 = 2 x 2 x 3 x 17

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

LCM = 40188 = 2 x 2 x 3 x 17 x 197

Step 4: Therefore, the least common multiple of 197 and 204 is 40188.