Least Common Multiple of 197 and 203

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 203 the smallest integer that is 39991 that is divisible by both numbers.

Least Common Multiple (LCM) of 197 and 203 is 39991.

LCM(197,203) = 39991

LCM of 197 and 203

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

LCM of:
and

Least Common Multiple of 197 and 203

LCM of 197 and 203 is 39991

Least common multiple can be found by multiplying the highest exponent prime factors of 197 and 203. First we will calculate the prime factors of 197 and 203.

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 203


7 203
29 29
1

Prime factors of 203 are 7,29. Prime factorization of 203 in exponential form is:

203 = 71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 197 and 203.

LCM(197,203) = 71×291×1971
LCM(197,203) = 39991

Factors of 197

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

1, 197

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Least Common Multiple of 197 and 203 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 203, than apply into the LCM equation.

GCF(197,203) = 1
LCM(197,203) = ( 197 × 203) / 1
LCM(197,203) = 39991 / 1
LCM(197,203) = 39991

Properties of LCM 197 and 203

(i) The LCM of 203 and 197 is associative

LCM of 197 and 203 = LCM of 203 and 197

Related Least Common Multiples of 197

Related Least Common Multiples of 203

Frequently Asked Questions on LCM of 197 and 203

1. What is the LCM of 197 and 203?

Answer: LCM of 197 and 203 is 39991.

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 203?

Answer: Factors of 203 are 1, 7, 29, 203. There are 4 integers that are factors of 203. The greatest factor of 203 is 203.

4. How to Find the LCM of 197 and 203?

Answer:

Least Common Multiple of 197 and 203 = 39991

Step 1: Find the prime factorization of 197

197 = 197

Step 2: Find the prime factorization of 203

203 = 7 x 29

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

LCM = 39991 = 7 x 29 x 197

Step 4: Therefore, the least common multiple of 197 and 203 is 39991.