Least Common Multiple of 199 and 206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 199 and 206 the smallest integer that is 40994 that is divisible by both numbers.

Least Common Multiple (LCM) of 199 and 206 is 40994.

LCM(199,206) = 40994

LCM of 199 and 206

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

LCM of:
and

Least Common Multiple of 199 and 206

LCM of 199 and 206 is 40994

Least common multiple can be found by multiplying the highest exponent prime factors of 199 and 206. First we will calculate the prime factors of 199 and 206.

Prime Factorization of 199


199 199
1

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

199 = 1991

Prime Factorization of 206


2 206
103 103
1

Prime factors of 206 are 2,103. Prime factorization of 206 in exponential form is:

206 = 21×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 199 and 206.

LCM(199,206) = 21×1031×1991
LCM(199,206) = 40994

Factors of 199

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

1, 199

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Least Common Multiple of 199 and 206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 199 and 206, than apply into the LCM equation.

GCF(199,206) = 1
LCM(199,206) = ( 199 × 206) / 1
LCM(199,206) = 40994 / 1
LCM(199,206) = 40994

Properties of LCM 199 and 206

(i) The LCM of 206 and 199 is associative

LCM of 199 and 206 = LCM of 206 and 199

Related Least Common Multiples of 199

Related Least Common Multiples of 206

Frequently Asked Questions on LCM of 199 and 206

1. What is the LCM of 199 and 206?

Answer: LCM of 199 and 206 is 40994.

2. 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.

3. What are the Factors of 206?

Answer: Factors of 206 are 1, 2, 103, 206. There are 4 integers that are factors of 206. The greatest factor of 206 is 206.

4. How to Find the LCM of 199 and 206?

Answer:

Least Common Multiple of 199 and 206 = 40994

Step 1: Find the prime factorization of 199

199 = 199

Step 2: Find the prime factorization of 206

206 = 2 x 103

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

LCM = 40994 = 2 x 103 x 199

Step 4: Therefore, the least common multiple of 199 and 206 is 40994.