Least Common Multiple of 13187 and 13193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13187 and 13193 the smallest integer that is 173976091 that is divisible by both numbers.

Least Common Multiple (LCM) of 13187 and 13193 is 173976091.

LCM(13187,13193) = 173976091

LCM of 13187 and 13193

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

LCM of:
and

Least Common Multiple of 13187 and 13193

LCM of 13187 and 13193 is 173976091

Least common multiple can be found by multiplying the highest exponent prime factors of 13187 and 13193. First we will calculate the prime factors of 13187 and 13193.

Prime Factorization of 13187


13187 13187
1

Prime factors of 13187 are 13187. Prime factorization of 13187 in exponential form is:

13187 = 131871

Prime Factorization of 13193


79 13193
167 167
1

Prime factors of 13193 are 79,167. Prime factorization of 13193 in exponential form is:

13193 = 791×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 13187 and 13193.

LCM(13187,13193) = 791×1671×131871
LCM(13187,13193) = 173976091

Factors of 13187

List of positive integer factors of 13187 that divides 13187 without a remainder.

1, 13187

Factors of 13193

List of positive integer factors of 13193 that divides 13193 without a remainder.

1, 79, 167, 13193

Least Common Multiple of 13187 and 13193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13187 and 13193, than apply into the LCM equation.

GCF(13187,13193) = 1
LCM(13187,13193) = ( 13187 × 13193) / 1
LCM(13187,13193) = 173976091 / 1
LCM(13187,13193) = 173976091

Properties of LCM 13187 and 13193

(i) The LCM of 13193 and 13187 is associative

LCM of 13187 and 13193 = LCM of 13193 and 13187

Related Least Common Multiples of 13187

Related Least Common Multiples of 13193

Frequently Asked Questions on LCM of 13187 and 13193

1. What is the LCM of 13187 and 13193?

Answer: LCM of 13187 and 13193 is 173976091.

2. What are the Factors of 13187?

Answer: Factors of 13187 are 1, 13187. There are 2 integers that are factors of 13187. The greatest factor of 13187 is 13187.

3. What are the Factors of 13193?

Answer: Factors of 13193 are 1, 79, 167, 13193. There are 4 integers that are factors of 13193. The greatest factor of 13193 is 13193.

4. How to Find the LCM of 13187 and 13193?

Answer:

Least Common Multiple of 13187 and 13193 = 173976091

Step 1: Find the prime factorization of 13187

13187 = 13187

Step 2: Find the prime factorization of 13193

13193 = 79 x 167

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

LCM = 173976091 = 79 x 167 x 13187

Step 4: Therefore, the least common multiple of 13187 and 13193 is 173976091.