Least Common Multiple of 13191 and 13198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13191 and 13198 the smallest integer that is 174094818 that is divisible by both numbers.

Least Common Multiple (LCM) of 13191 and 13198 is 174094818.

LCM(13191,13198) = 174094818

LCM of 13191 and 13198

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

LCM of:
and

Least Common Multiple of 13191 and 13198

LCM of 13191 and 13198 is 174094818

Least common multiple can be found by multiplying the highest exponent prime factors of 13191 and 13198. First we will calculate the prime factors of 13191 and 13198.

Prime Factorization of 13191


3 13191
4397 4397
1

Prime factors of 13191 are 3,4397. Prime factorization of 13191 in exponential form is:

13191 = 31×43971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 13191 and 13198.

LCM(13191,13198) = 21×31×43971×65991
LCM(13191,13198) = 174094818

Factors of 13191

List of positive integer factors of 13191 that divides 13191 without a remainder.

1, 3, 4397, 13191

Factors of 13198

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

1, 2, 6599, 13198

Least Common Multiple of 13191 and 13198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13191 and 13198, than apply into the LCM equation.

GCF(13191,13198) = 1
LCM(13191,13198) = ( 13191 × 13198) / 1
LCM(13191,13198) = 174094818 / 1
LCM(13191,13198) = 174094818

Properties of LCM 13191 and 13198

(i) The LCM of 13198 and 13191 is associative

LCM of 13191 and 13198 = LCM of 13198 and 13191

Related Least Common Multiples of 13191

Related Least Common Multiples of 13198

Frequently Asked Questions on LCM of 13191 and 13198

1. What is the LCM of 13191 and 13198?

Answer: LCM of 13191 and 13198 is 174094818.

2. What are the Factors of 13191?

Answer: Factors of 13191 are 1, 3, 4397, 13191. There are 4 integers that are factors of 13191. The greatest factor of 13191 is 13191.

3. 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.

4. How to Find the LCM of 13191 and 13198?

Answer:

Least Common Multiple of 13191 and 13198 = 174094818

Step 1: Find the prime factorization of 13191

13191 = 3 x 4397

Step 2: Find the prime factorization of 13198

13198 = 2 x 6599

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

LCM = 174094818 = 2 x 3 x 4397 x 6599

Step 4: Therefore, the least common multiple of 13191 and 13198 is 174094818.