Least Common Multiple of 193 and 196

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 196 the smallest integer that is 37828 that is divisible by both numbers.

Least Common Multiple (LCM) of 193 and 196 is 37828.

LCM(193,196) = 37828

LCM of 193 and 196

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

LCM of:
and

Least Common Multiple of 193 and 196

LCM of 193 and 196 is 37828

Least common multiple can be found by multiplying the highest exponent prime factors of 193 and 196. First we will calculate the prime factors of 193 and 196.

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 196


2 196
2 98
7 49
7 7
1

Prime factors of 196 are 2,7. Prime factorization of 196 in exponential form is:

196 = 22×72

Now multiplying the highest exponent prime factors to calculate the LCM of 193 and 196.

LCM(193,196) = 22×72×1931
LCM(193,196) = 37828

Factors of 193

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

1, 193

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Least Common Multiple of 193 and 196 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 196, than apply into the LCM equation.

GCF(193,196) = 1
LCM(193,196) = ( 193 × 196) / 1
LCM(193,196) = 37828 / 1
LCM(193,196) = 37828

Properties of LCM 193 and 196

(i) The LCM of 196 and 193 is associative

LCM of 193 and 196 = LCM of 196 and 193

Related Least Common Multiples of 193

Related Least Common Multiples of 196

Frequently Asked Questions on LCM of 193 and 196

1. What is the LCM of 193 and 196?

Answer: LCM of 193 and 196 is 37828.

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 196?

Answer: Factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196. There are 9 integers that are factors of 196. The greatest factor of 196 is 196.

4. How to Find the LCM of 193 and 196?

Answer:

Least Common Multiple of 193 and 196 = 37828

Step 1: Find the prime factorization of 193

193 = 193

Step 2: Find the prime factorization of 196

196 = 2 x 2 x 7 x 7

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

LCM = 37828 = 2 x 2 x 7 x 7 x 193

Step 4: Therefore, the least common multiple of 193 and 196 is 37828.