Least Common Multiple of 191 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 191 and 198 the smallest integer that is 37818 that is divisible by both numbers.

Least Common Multiple (LCM) of 191 and 198 is 37818.

LCM(191,198) = 37818

LCM of 191 and 198

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

LCM of:
and

Least Common Multiple of 191 and 198

LCM of 191 and 198 is 37818

Least common multiple can be found by multiplying the highest exponent prime factors of 191 and 198. First we will calculate the prime factors of 191 and 198.

Prime Factorization of 191


191 191
1

Prime factors of 191 are 191. Prime factorization of 191 in exponential form is:

191 = 1911

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 191 and 198.

LCM(191,198) = 21×32×111×1911
LCM(191,198) = 37818

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1, 191

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 191 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 191 and 198, than apply into the LCM equation.

GCF(191,198) = 1
LCM(191,198) = ( 191 × 198) / 1
LCM(191,198) = 37818 / 1
LCM(191,198) = 37818

Properties of LCM 191 and 198

(i) The LCM of 198 and 191 is associative

LCM of 191 and 198 = LCM of 198 and 191

Related Least Common Multiples of 191

Related Least Common Multiples of 198

Frequently Asked Questions on LCM of 191 and 198

1. What is the LCM of 191 and 198?

Answer: LCM of 191 and 198 is 37818.

2. What are the Factors of 191?

Answer: Factors of 191 are 1, 191. There are 2 integers that are factors of 191. The greatest factor of 191 is 191.

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 191 and 198?

Answer:

Least Common Multiple of 191 and 198 = 37818

Step 1: Find the prime factorization of 191

191 = 191

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 = 37818 = 2 x 3 x 3 x 11 x 191

Step 4: Therefore, the least common multiple of 191 and 198 is 37818.