Least Common Multiple of 193 and 197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 193 and 197 the smallest integer that is 38021 that is divisible by both numbers.

Least Common Multiple (LCM) of 193 and 197 is 38021.

LCM(193,197) = 38021

LCM of 193 and 197

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

LCM of:
and

Least Common Multiple of 193 and 197

LCM of 193 and 197 is 38021

Least common multiple can be found by multiplying the highest exponent prime factors of 193 and 197. First we will calculate the prime factors of 193 and 197.

Prime Factorization of 193


193 193
1

Prime factors of 193 are 193. Prime factorization of 193 in exponential form is:

193 = 1931

Prime Factorization of 197


197 197
1

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

197 = 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 193 and 197.

LCM(193,197) = 1931×1971
LCM(193,197) = 38021

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1, 193

Factors of 197

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

1, 197

Least Common Multiple of 193 and 197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 193 and 197, than apply into the LCM equation.

GCF(193,197) = 1
LCM(193,197) = ( 193 × 197) / 1
LCM(193,197) = 38021 / 1
LCM(193,197) = 38021

Properties of LCM 193 and 197

(i) The LCM of 197 and 193 is associative

LCM of 193 and 197 = LCM of 197 and 193

Related Least Common Multiples of 193

Related Least Common Multiples of 197

Frequently Asked Questions on LCM of 193 and 197

1. What is the LCM of 193 and 197?

Answer: LCM of 193 and 197 is 38021.

2. What are the Factors of 193?

Answer: Factors of 193 are 1, 193. There are 2 integers that are factors of 193. The greatest factor of 193 is 193.

3. 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.

4. How to Find the LCM of 193 and 197?

Answer:

Least Common Multiple of 193 and 197 = 38021

Step 1: Find the prime factorization of 193

193 = 193

Step 2: Find the prime factorization of 197

197 = 197

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

LCM = 38021 = 193 x 197

Step 4: Therefore, the least common multiple of 193 and 197 is 38021.