Least Common Multiple of 13198 and 13204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13198 and 13204 the smallest integer that is 87133196 that is divisible by both numbers.

Least Common Multiple (LCM) of 13198 and 13204 is 87133196.

LCM(13198,13204) = 87133196

LCM of 13198 and 13204

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

LCM of:
and

Least Common Multiple of 13198 and 13204

LCM of 13198 and 13204 is 87133196

Least common multiple can be found by multiplying the highest exponent prime factors of 13198 and 13204. First we will calculate the prime factors of 13198 and 13204.

Prime Factorization of 13198


2 13198
6599 6599
1

Prime factors of 13198 are 2,6599. Prime factorization of 13198 in exponential form is:

13198 = 21×65991

Prime Factorization of 13204


2 13204
2 6602
3301 3301
1

Prime factors of 13204 are 2,3301. Prime factorization of 13204 in exponential form is:

13204 = 22×33011

Now multiplying the highest exponent prime factors to calculate the LCM of 13198 and 13204.

LCM(13198,13204) = 22×33011×65991
LCM(13198,13204) = 87133196

Factors of 13198

List of positive integer factors of 13198 that divides 13198 without a remainder.

1, 2, 6599, 13198

Factors of 13204

List of positive integer factors of 13204 that divides 13204 without a remainder.

1, 2, 4, 3301, 6602, 13204

Least Common Multiple of 13198 and 13204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13198 and 13204, than apply into the LCM equation.

GCF(13198,13204) = 2
LCM(13198,13204) = ( 13198 × 13204) / 2
LCM(13198,13204) = 174266392 / 2
LCM(13198,13204) = 87133196

Properties of LCM 13198 and 13204

(i) The LCM of 13204 and 13198 is associative

LCM of 13198 and 13204 = LCM of 13204 and 13198

Related Least Common Multiples of 13198

Related Least Common Multiples of 13204

Frequently Asked Questions on LCM of 13198 and 13204

1. What is the LCM of 13198 and 13204?

Answer: LCM of 13198 and 13204 is 87133196.

2. What are the Factors of 13198?

Answer: Factors of 13198 are 1, 2, 6599, 13198. There are 4 integers that are factors of 13198. The greatest factor of 13198 is 13198.

3. What are the Factors of 13204?

Answer: Factors of 13204 are 1, 2, 4, 3301, 6602, 13204. There are 6 integers that are factors of 13204. The greatest factor of 13204 is 13204.

4. How to Find the LCM of 13198 and 13204?

Answer:

Least Common Multiple of 13198 and 13204 = 87133196

Step 1: Find the prime factorization of 13198

13198 = 2 x 6599

Step 2: Find the prime factorization of 13204

13204 = 2 x 2 x 3301

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

LCM = 87133196 = 2 x 2 x 3301 x 6599

Step 4: Therefore, the least common multiple of 13198 and 13204 is 87133196.