Least Common Multiple of 4199 and 4204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4199 and 4204 the smallest integer that is 17652596 that is divisible by both numbers.

Least Common Multiple (LCM) of 4199 and 4204 is 17652596.

LCM(4199,4204) = 17652596

LCM of 4199 and 4204

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

LCM of:
and

Least Common Multiple of 4199 and 4204

LCM of 4199 and 4204 is 17652596

Least common multiple can be found by multiplying the highest exponent prime factors of 4199 and 4204. First we will calculate the prime factors of 4199 and 4204.

Prime Factorization of 4199


13 4199
17 323
19 19
1

Prime factors of 4199 are 13, 17,19. Prime factorization of 4199 in exponential form is:

4199 = 131×171×191

Prime Factorization of 4204


2 4204
2 2102
1051 1051
1

Prime factors of 4204 are 2,1051. Prime factorization of 4204 in exponential form is:

4204 = 22×10511

Now multiplying the highest exponent prime factors to calculate the LCM of 4199 and 4204.

LCM(4199,4204) = 22×131×171×191×10511
LCM(4199,4204) = 17652596

Factors of 4199

List of positive integer factors of 4199 that divides 4199 without a remainder.

1, 13, 17, 19, 221, 247, 323, 4199

Factors of 4204

List of positive integer factors of 4204 that divides 4204 without a remainder.

1, 2, 4, 1051, 2102, 4204

Least Common Multiple of 4199 and 4204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4199 and 4204, than apply into the LCM equation.

GCF(4199,4204) = 1
LCM(4199,4204) = ( 4199 × 4204) / 1
LCM(4199,4204) = 17652596 / 1
LCM(4199,4204) = 17652596

Properties of LCM 4199 and 4204

(i) The LCM of 4204 and 4199 is associative

LCM of 4199 and 4204 = LCM of 4204 and 4199

Related Least Common Multiples of 4199

Related Least Common Multiples of 4204

Frequently Asked Questions on LCM of 4199 and 4204

1. What is the LCM of 4199 and 4204?

Answer: LCM of 4199 and 4204 is 17652596.

2. What are the Factors of 4199?

Answer: Factors of 4199 are 1, 13, 17, 19, 221, 247, 323, 4199. There are 8 integers that are factors of 4199. The greatest factor of 4199 is 4199.

3. What are the Factors of 4204?

Answer: Factors of 4204 are 1, 2, 4, 1051, 2102, 4204. There are 6 integers that are factors of 4204. The greatest factor of 4204 is 4204.

4. How to Find the LCM of 4199 and 4204?

Answer:

Least Common Multiple of 4199 and 4204 = 17652596

Step 1: Find the prime factorization of 4199

4199 = 13 x 17 x 19

Step 2: Find the prime factorization of 4204

4204 = 2 x 2 x 1051

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

LCM = 17652596 = 2 x 2 x 13 x 17 x 19 x 1051

Step 4: Therefore, the least common multiple of 4199 and 4204 is 17652596.