Least Common Multiple of 4198 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 4198 and 4204 the smallest integer that is 8824196 that is divisible by both numbers.

Least Common Multiple (LCM) of 4198 and 4204 is 8824196.

LCM(4198,4204) = 8824196

LCM of 4198 and 4204

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

LCM of:
and

Least Common Multiple of 4198 and 4204

LCM of 4198 and 4204 is 8824196

Least common multiple can be found by multiplying the highest exponent prime factors of 4198 and 4204. First we will calculate the prime factors of 4198 and 4204.

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 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 4198 and 4204.

LCM(4198,4204) = 22×10511×20991
LCM(4198,4204) = 8824196

Factors of 4198

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

1, 2, 2099, 4198

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 4198 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 4198 and 4204, than apply into the LCM equation.

GCF(4198,4204) = 2
LCM(4198,4204) = ( 4198 × 4204) / 2
LCM(4198,4204) = 17648392 / 2
LCM(4198,4204) = 8824196

Properties of LCM 4198 and 4204

(i) The LCM of 4204 and 4198 is associative

LCM of 4198 and 4204 = LCM of 4204 and 4198

Related Least Common Multiples of 4198

Related Least Common Multiples of 4204

Frequently Asked Questions on LCM of 4198 and 4204

1. What is the LCM of 4198 and 4204?

Answer: LCM of 4198 and 4204 is 8824196.

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 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 4198 and 4204?

Answer:

Least Common Multiple of 4198 and 4204 = 8824196

Step 1: Find the prime factorization of 4198

4198 = 2 x 2099

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 = 8824196 = 2 x 2 x 1051 x 2099

Step 4: Therefore, the least common multiple of 4198 and 4204 is 8824196.