Least Common Multiple of 4198 and 4205

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 4205 the smallest integer that is 17652590 that is divisible by both numbers.

Least Common Multiple (LCM) of 4198 and 4205 is 17652590.

LCM(4198,4205) = 17652590

LCM of 4198 and 4205

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

LCM of:
and

Least Common Multiple of 4198 and 4205

LCM of 4198 and 4205 is 17652590

Least common multiple can be found by multiplying the highest exponent prime factors of 4198 and 4205. First we will calculate the prime factors of 4198 and 4205.

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 4205


5 4205
29 841
29 29
1

Prime factors of 4205 are 5,29. Prime factorization of 4205 in exponential form is:

4205 = 51×292

Now multiplying the highest exponent prime factors to calculate the LCM of 4198 and 4205.

LCM(4198,4205) = 21×51×292×20991
LCM(4198,4205) = 17652590

Factors of 4198

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

1, 2, 2099, 4198

Factors of 4205

List of positive integer factors of 4205 that divides 4205 without a remainder.

1, 5, 29, 145, 841, 4205

Least Common Multiple of 4198 and 4205 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 4205, than apply into the LCM equation.

GCF(4198,4205) = 1
LCM(4198,4205) = ( 4198 × 4205) / 1
LCM(4198,4205) = 17652590 / 1
LCM(4198,4205) = 17652590

Properties of LCM 4198 and 4205

(i) The LCM of 4205 and 4198 is associative

LCM of 4198 and 4205 = LCM of 4205 and 4198

Related Least Common Multiples of 4198

Related Least Common Multiples of 4205

Frequently Asked Questions on LCM of 4198 and 4205

1. What is the LCM of 4198 and 4205?

Answer: LCM of 4198 and 4205 is 17652590.

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 4205?

Answer: Factors of 4205 are 1, 5, 29, 145, 841, 4205. There are 6 integers that are factors of 4205. The greatest factor of 4205 is 4205.

4. How to Find the LCM of 4198 and 4205?

Answer:

Least Common Multiple of 4198 and 4205 = 17652590

Step 1: Find the prime factorization of 4198

4198 = 2 x 2099

Step 2: Find the prime factorization of 4205

4205 = 5 x 29 x 29

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

LCM = 17652590 = 2 x 5 x 29 x 29 x 2099

Step 4: Therefore, the least common multiple of 4198 and 4205 is 17652590.