Least Common Multiple of 4199 and 4203

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 4203 the smallest integer that is 17648397 that is divisible by both numbers.

Least Common Multiple (LCM) of 4199 and 4203 is 17648397.

LCM(4199,4203) = 17648397

LCM of 4199 and 4203

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

LCM of:
and

Least Common Multiple of 4199 and 4203

LCM of 4199 and 4203 is 17648397

Least common multiple can be found by multiplying the highest exponent prime factors of 4199 and 4203. First we will calculate the prime factors of 4199 and 4203.

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 4203


3 4203
3 1401
467 467
1

Prime factors of 4203 are 3,467. Prime factorization of 4203 in exponential form is:

4203 = 32×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 4199 and 4203.

LCM(4199,4203) = 32×131×171×191×4671
LCM(4199,4203) = 17648397

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 4203

List of positive integer factors of 4203 that divides 4203 without a remainder.

1, 3, 9, 467, 1401, 4203

Least Common Multiple of 4199 and 4203 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 4203, than apply into the LCM equation.

GCF(4199,4203) = 1
LCM(4199,4203) = ( 4199 × 4203) / 1
LCM(4199,4203) = 17648397 / 1
LCM(4199,4203) = 17648397

Properties of LCM 4199 and 4203

(i) The LCM of 4203 and 4199 is associative

LCM of 4199 and 4203 = LCM of 4203 and 4199

Related Least Common Multiples of 4199

Related Least Common Multiples of 4203

Frequently Asked Questions on LCM of 4199 and 4203

1. What is the LCM of 4199 and 4203?

Answer: LCM of 4199 and 4203 is 17648397.

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 4203?

Answer: Factors of 4203 are 1, 3, 9, 467, 1401, 4203. There are 6 integers that are factors of 4203. The greatest factor of 4203 is 4203.

4. How to Find the LCM of 4199 and 4203?

Answer:

Least Common Multiple of 4199 and 4203 = 17648397

Step 1: Find the prime factorization of 4199

4199 = 13 x 17 x 19

Step 2: Find the prime factorization of 4203

4203 = 3 x 3 x 467

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

LCM = 17648397 = 3 x 3 x 13 x 17 x 19 x 467

Step 4: Therefore, the least common multiple of 4199 and 4203 is 17648397.