Least Common Multiple of 193 and 194

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 194 the smallest integer that is 37442 that is divisible by both numbers.

Least Common Multiple (LCM) of 193 and 194 is 37442.

LCM(193,194) = 37442

LCM of 193 and 194

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

LCM of:
and

Least Common Multiple of 193 and 194

LCM of 193 and 194 is 37442

Least common multiple can be found by multiplying the highest exponent prime factors of 193 and 194. First we will calculate the prime factors of 193 and 194.

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 194


2 194
97 97
1

Prime factors of 194 are 2,97. Prime factorization of 194 in exponential form is:

194 = 21×971

Now multiplying the highest exponent prime factors to calculate the LCM of 193 and 194.

LCM(193,194) = 21×971×1931
LCM(193,194) = 37442

Factors of 193

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

1, 193

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Least Common Multiple of 193 and 194 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 194, than apply into the LCM equation.

GCF(193,194) = 1
LCM(193,194) = ( 193 × 194) / 1
LCM(193,194) = 37442 / 1
LCM(193,194) = 37442

Properties of LCM 193 and 194

(i) The LCM of 194 and 193 is associative

LCM of 193 and 194 = LCM of 194 and 193

Related Least Common Multiples of 193

Related Least Common Multiples of 194

Frequently Asked Questions on LCM of 193 and 194

1. What is the LCM of 193 and 194?

Answer: LCM of 193 and 194 is 37442.

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 194?

Answer: Factors of 194 are 1, 2, 97, 194. There are 4 integers that are factors of 194. The greatest factor of 194 is 194.

4. How to Find the LCM of 193 and 194?

Answer:

Least Common Multiple of 193 and 194 = 37442

Step 1: Find the prime factorization of 193

193 = 193

Step 2: Find the prime factorization of 194

194 = 2 x 97

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

LCM = 37442 = 2 x 97 x 193

Step 4: Therefore, the least common multiple of 193 and 194 is 37442.