Least Common Multiple of 194 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 194 and 198 the smallest integer that is 19206 that is divisible by both numbers.

Least Common Multiple (LCM) of 194 and 198 is 19206.

LCM(194,198) = 19206

LCM of 194 and 198

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

LCM of:
and

Least Common Multiple of 194 and 198

LCM of 194 and 198 is 19206

Least common multiple can be found by multiplying the highest exponent prime factors of 194 and 198. First we will calculate the prime factors of 194 and 198.

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 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 194 and 198.

LCM(194,198) = 21×32×111×971
LCM(194,198) = 19206

Factors of 194

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

1, 2, 97, 194

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 194 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 194 and 198, than apply into the LCM equation.

GCF(194,198) = 2
LCM(194,198) = ( 194 × 198) / 2
LCM(194,198) = 38412 / 2
LCM(194,198) = 19206

Properties of LCM 194 and 198

(i) The LCM of 198 and 194 is associative

LCM of 194 and 198 = LCM of 198 and 194

Related Least Common Multiples of 194

Related Least Common Multiples of 198

Frequently Asked Questions on LCM of 194 and 198

1. What is the LCM of 194 and 198?

Answer: LCM of 194 and 198 is 19206.

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 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 194 and 198?

Answer:

Least Common Multiple of 194 and 198 = 19206

Step 1: Find the prime factorization of 194

194 = 2 x 97

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 = 19206 = 2 x 3 x 3 x 11 x 97

Step 4: Therefore, the least common multiple of 194 and 198 is 19206.