Least Common Multiple of 194 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 194 and 197 the smallest integer that is 38218 that is divisible by both numbers.

Least Common Multiple (LCM) of 194 and 197 is 38218.

LCM(194,197) = 38218

LCM of 194 and 197

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

LCM of:
and

Least Common Multiple of 194 and 197

LCM of 194 and 197 is 38218

Least common multiple can be found by multiplying the highest exponent prime factors of 194 and 197. First we will calculate the prime factors of 194 and 197.

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 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 194 and 197.

LCM(194,197) = 21×971×1971
LCM(194,197) = 38218

Factors of 194

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

1, 2, 97, 194

Factors of 197

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

1, 197

Least Common Multiple of 194 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 194 and 197, than apply into the LCM equation.

GCF(194,197) = 1
LCM(194,197) = ( 194 × 197) / 1
LCM(194,197) = 38218 / 1
LCM(194,197) = 38218

Properties of LCM 194 and 197

(i) The LCM of 197 and 194 is associative

LCM of 194 and 197 = LCM of 197 and 194

Related Least Common Multiples of 194

Related Least Common Multiples of 197

Frequently Asked Questions on LCM of 194 and 197

1. What is the LCM of 194 and 197?

Answer: LCM of 194 and 197 is 38218.

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 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 194 and 197?

Answer:

Least Common Multiple of 194 and 197 = 38218

Step 1: Find the prime factorization of 194

194 = 2 x 97

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 = 38218 = 2 x 97 x 197

Step 4: Therefore, the least common multiple of 194 and 197 is 38218.