Least Common Multiple of 191 and 199

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 199 the smallest integer that is 38009 that is divisible by both numbers.

Least Common Multiple (LCM) of 191 and 199 is 38009.

LCM(191,199) = 38009

LCM of 191 and 199

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

LCM of:
and

Least Common Multiple of 191 and 199

LCM of 191 and 199 is 38009

Least common multiple can be found by multiplying the highest exponent prime factors of 191 and 199. First we will calculate the prime factors of 191 and 199.

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 199


199 199
1

Prime factors of 199 are 199. Prime factorization of 199 in exponential form is:

199 = 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 191 and 199.

LCM(191,199) = 1911×1991
LCM(191,199) = 38009

Factors of 191

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

1, 191

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1, 199

Least Common Multiple of 191 and 199 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 199, than apply into the LCM equation.

GCF(191,199) = 1
LCM(191,199) = ( 191 × 199) / 1
LCM(191,199) = 38009 / 1
LCM(191,199) = 38009

Properties of LCM 191 and 199

(i) The LCM of 199 and 191 is associative

LCM of 191 and 199 = LCM of 199 and 191

Related Least Common Multiples of 191

Related Least Common Multiples of 199

Frequently Asked Questions on LCM of 191 and 199

1. What is the LCM of 191 and 199?

Answer: LCM of 191 and 199 is 38009.

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 199?

Answer: Factors of 199 are 1, 199. There are 2 integers that are factors of 199. The greatest factor of 199 is 199.

4. How to Find the LCM of 191 and 199?

Answer:

Least Common Multiple of 191 and 199 = 38009

Step 1: Find the prime factorization of 191

191 = 191

Step 2: Find the prime factorization of 199

199 = 199

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

LCM = 38009 = 191 x 199

Step 4: Therefore, the least common multiple of 191 and 199 is 38009.