Least Common Multiple of 199 and 203

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 203 the smallest integer that is 40397 that is divisible by both numbers.

Least Common Multiple (LCM) of 199 and 203 is 40397.

LCM(199,203) = 40397

LCM of 199 and 203

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

LCM of:
and

Least Common Multiple of 199 and 203

LCM of 199 and 203 is 40397

Least common multiple can be found by multiplying the highest exponent prime factors of 199 and 203. First we will calculate the prime factors of 199 and 203.

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 203


7 203
29 29
1

Prime factors of 203 are 7,29. Prime factorization of 203 in exponential form is:

203 = 71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 199 and 203.

LCM(199,203) = 71×291×1991
LCM(199,203) = 40397

Factors of 199

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

1, 199

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Least Common Multiple of 199 and 203 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 203, than apply into the LCM equation.

GCF(199,203) = 1
LCM(199,203) = ( 199 × 203) / 1
LCM(199,203) = 40397 / 1
LCM(199,203) = 40397

Properties of LCM 199 and 203

(i) The LCM of 203 and 199 is associative

LCM of 199 and 203 = LCM of 203 and 199

Related Least Common Multiples of 199

Related Least Common Multiples of 203

Frequently Asked Questions on LCM of 199 and 203

1. What is the LCM of 199 and 203?

Answer: LCM of 199 and 203 is 40397.

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 203?

Answer: Factors of 203 are 1, 7, 29, 203. There are 4 integers that are factors of 203. The greatest factor of 203 is 203.

4. How to Find the LCM of 199 and 203?

Answer:

Least Common Multiple of 199 and 203 = 40397

Step 1: Find the prime factorization of 199

199 = 199

Step 2: Find the prime factorization of 203

203 = 7 x 29

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

LCM = 40397 = 7 x 29 x 199

Step 4: Therefore, the least common multiple of 199 and 203 is 40397.