Least Common Multiple of 4198 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 4198 and 4203 the smallest integer that is 17644194 that is divisible by both numbers.

Least Common Multiple (LCM) of 4198 and 4203 is 17644194.

LCM(4198,4203) = 17644194

LCM of 4198 and 4203

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

LCM of:
and

Least Common Multiple of 4198 and 4203

LCM of 4198 and 4203 is 17644194

Least common multiple can be found by multiplying the highest exponent prime factors of 4198 and 4203. First we will calculate the prime factors of 4198 and 4203.

Prime Factorization of 4198


2 4198
2099 2099
1

Prime factors of 4198 are 2,2099. Prime factorization of 4198 in exponential form is:

4198 = 21×20991

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 4198 and 4203.

LCM(4198,4203) = 21×32×4671×20991
LCM(4198,4203) = 17644194

Factors of 4198

List of positive integer factors of 4198 that divides 4198 without a remainder.

1, 2, 2099, 4198

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 4198 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 4198 and 4203, than apply into the LCM equation.

GCF(4198,4203) = 1
LCM(4198,4203) = ( 4198 × 4203) / 1
LCM(4198,4203) = 17644194 / 1
LCM(4198,4203) = 17644194

Properties of LCM 4198 and 4203

(i) The LCM of 4203 and 4198 is associative

LCM of 4198 and 4203 = LCM of 4203 and 4198

Related Least Common Multiples of 4198

Related Least Common Multiples of 4203

Frequently Asked Questions on LCM of 4198 and 4203

1. What is the LCM of 4198 and 4203?

Answer: LCM of 4198 and 4203 is 17644194.

2. What are the Factors of 4198?

Answer: Factors of 4198 are 1, 2, 2099, 4198. There are 4 integers that are factors of 4198. The greatest factor of 4198 is 4198.

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 4198 and 4203?

Answer:

Least Common Multiple of 4198 and 4203 = 17644194

Step 1: Find the prime factorization of 4198

4198 = 2 x 2099

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 = 17644194 = 2 x 3 x 3 x 467 x 2099

Step 4: Therefore, the least common multiple of 4198 and 4203 is 17644194.