Least Common Multiple of 194 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 194 and 196 the smallest integer that is 19012 that is divisible by both numbers.

Least Common Multiple (LCM) of 194 and 196 is 19012.

LCM(194,196) = 19012

LCM of 194 and 196

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

LCM of:
and

Least Common Multiple of 194 and 196

LCM of 194 and 196 is 19012

Least common multiple can be found by multiplying the highest exponent prime factors of 194 and 196. First we will calculate the prime factors of 194 and 196.

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

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 194 and 196.

LCM(194,196) = 22×72×971
LCM(194,196) = 19012

Factors of 194

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

1, 2, 97, 194

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 194 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 194 and 196, than apply into the LCM equation.

GCF(194,196) = 2
LCM(194,196) = ( 194 × 196) / 2
LCM(194,196) = 38024 / 2
LCM(194,196) = 19012

Properties of LCM 194 and 196

(i) The LCM of 196 and 194 is associative

LCM of 194 and 196 = LCM of 196 and 194

Related Least Common Multiples of 194

Related Least Common Multiples of 196

Frequently Asked Questions on LCM of 194 and 196

1. What is the LCM of 194 and 196?

Answer: LCM of 194 and 196 is 19012.

2. 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.

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 194 and 196?

Answer:

Least Common Multiple of 194 and 196 = 19012

Step 1: Find the prime factorization of 194

194 = 2 x 97

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 = 19012 = 2 x 2 x 7 x 7 x 97

Step 4: Therefore, the least common multiple of 194 and 196 is 19012.