Least Common Multiple of 193 and 198

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 198 the smallest integer that is 38214 that is divisible by both numbers.

Least Common Multiple (LCM) of 193 and 198 is 38214.

LCM(193,198) = 38214

LCM of 193 and 198

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

LCM of:
and

Least Common Multiple of 193 and 198

LCM of 193 and 198 is 38214

Least common multiple can be found by multiplying the highest exponent prime factors of 193 and 198. First we will calculate the prime factors of 193 and 198.

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 198


2 198
3 99
3 33
11 11
1

Prime factors of 198 are 2, 3,11. Prime factorization of 198 in exponential form is:

198 = 21×32×111

Now multiplying the highest exponent prime factors to calculate the LCM of 193 and 198.

LCM(193,198) = 21×32×111×1931
LCM(193,198) = 38214

Factors of 193

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

1, 193

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Least Common Multiple of 193 and 198 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 198, than apply into the LCM equation.

GCF(193,198) = 1
LCM(193,198) = ( 193 × 198) / 1
LCM(193,198) = 38214 / 1
LCM(193,198) = 38214

Properties of LCM 193 and 198

(i) The LCM of 198 and 193 is associative

LCM of 193 and 198 = LCM of 198 and 193

Related Least Common Multiples of 193

Related Least Common Multiples of 198

Frequently Asked Questions on LCM of 193 and 198

1. What is the LCM of 193 and 198?

Answer: LCM of 193 and 198 is 38214.

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 198?

Answer: Factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198. There are 12 integers that are factors of 198. The greatest factor of 198 is 198.

4. How to Find the LCM of 193 and 198?

Answer:

Least Common Multiple of 193 and 198 = 38214

Step 1: Find the prime factorization of 193

193 = 193

Step 2: Find the prime factorization of 198

198 = 2 x 3 x 3 x 11

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

LCM = 38214 = 2 x 3 x 3 x 11 x 193

Step 4: Therefore, the least common multiple of 193 and 198 is 38214.