Least Common Multiple of 199 and 204

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 204 the smallest integer that is 40596 that is divisible by both numbers.

Least Common Multiple (LCM) of 199 and 204 is 40596.

LCM(199,204) = 40596

LCM of 199 and 204

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

LCM of:
and

Least Common Multiple of 199 and 204

LCM of 199 and 204 is 40596

Least common multiple can be found by multiplying the highest exponent prime factors of 199 and 204. First we will calculate the prime factors of 199 and 204.

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 204


2 204
2 102
3 51
17 17
1

Prime factors of 204 are 2, 3,17. Prime factorization of 204 in exponential form is:

204 = 22×31×171

Now multiplying the highest exponent prime factors to calculate the LCM of 199 and 204.

LCM(199,204) = 22×31×171×1991
LCM(199,204) = 40596

Factors of 199

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

1, 199

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Least Common Multiple of 199 and 204 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 204, than apply into the LCM equation.

GCF(199,204) = 1
LCM(199,204) = ( 199 × 204) / 1
LCM(199,204) = 40596 / 1
LCM(199,204) = 40596

Properties of LCM 199 and 204

(i) The LCM of 204 and 199 is associative

LCM of 199 and 204 = LCM of 204 and 199

Related Least Common Multiples of 199

Related Least Common Multiples of 204

Frequently Asked Questions on LCM of 199 and 204

1. What is the LCM of 199 and 204?

Answer: LCM of 199 and 204 is 40596.

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 204?

Answer: Factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204. There are 12 integers that are factors of 204. The greatest factor of 204 is 204.

4. How to Find the LCM of 199 and 204?

Answer:

Least Common Multiple of 199 and 204 = 40596

Step 1: Find the prime factorization of 199

199 = 199

Step 2: Find the prime factorization of 204

204 = 2 x 2 x 3 x 17

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

LCM = 40596 = 2 x 2 x 3 x 17 x 199

Step 4: Therefore, the least common multiple of 199 and 204 is 40596.