Least Common Multiple of 199 and 201

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 201 the smallest integer that is 39999 that is divisible by both numbers.

Least Common Multiple (LCM) of 199 and 201 is 39999.

LCM(199,201) = 39999

LCM of 199 and 201

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

LCM of:
and

Least Common Multiple of 199 and 201

LCM of 199 and 201 is 39999

Least common multiple can be found by multiplying the highest exponent prime factors of 199 and 201. First we will calculate the prime factors of 199 and 201.

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 201


3 201
67 67
1

Prime factors of 201 are 3,67. Prime factorization of 201 in exponential form is:

201 = 31×671

Now multiplying the highest exponent prime factors to calculate the LCM of 199 and 201.

LCM(199,201) = 31×671×1991
LCM(199,201) = 39999

Factors of 199

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

1, 199

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Least Common Multiple of 199 and 201 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 201, than apply into the LCM equation.

GCF(199,201) = 1
LCM(199,201) = ( 199 × 201) / 1
LCM(199,201) = 39999 / 1
LCM(199,201) = 39999

Properties of LCM 199 and 201

(i) The LCM of 201 and 199 is associative

LCM of 199 and 201 = LCM of 201 and 199

Related Least Common Multiples of 199

Related Least Common Multiples of 201

Frequently Asked Questions on LCM of 199 and 201

1. What is the LCM of 199 and 201?

Answer: LCM of 199 and 201 is 39999.

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 201?

Answer: Factors of 201 are 1, 3, 67, 201. There are 4 integers that are factors of 201. The greatest factor of 201 is 201.

4. How to Find the LCM of 199 and 201?

Answer:

Least Common Multiple of 199 and 201 = 39999

Step 1: Find the prime factorization of 199

199 = 199

Step 2: Find the prime factorization of 201

201 = 3 x 67

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

LCM = 39999 = 3 x 67 x 199

Step 4: Therefore, the least common multiple of 199 and 201 is 39999.