Least Common Multiple of 15193 and 15201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15193 and 15201 the smallest integer that is 230948793 that is divisible by both numbers.

Least Common Multiple (LCM) of 15193 and 15201 is 230948793.

LCM(15193,15201) = 230948793

LCM of 15193 and 15201

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

LCM of:
and

Least Common Multiple of 15193 and 15201

LCM of 15193 and 15201 is 230948793

Least common multiple can be found by multiplying the highest exponent prime factors of 15193 and 15201. First we will calculate the prime factors of 15193 and 15201.

Prime Factorization of 15193


15193 15193
1

Prime factors of 15193 are 15193. Prime factorization of 15193 in exponential form is:

15193 = 151931

Prime Factorization of 15201


3 15201
3 5067
3 1689
563 563
1

Prime factors of 15201 are 3,563. Prime factorization of 15201 in exponential form is:

15201 = 33×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 15193 and 15201.

LCM(15193,15201) = 33×5631×151931
LCM(15193,15201) = 230948793

Factors of 15193

List of positive integer factors of 15193 that divides 15193 without a remainder.

1, 15193

Factors of 15201

List of positive integer factors of 15201 that divides 15201 without a remainder.

1, 3, 9, 27, 563, 1689, 5067, 15201

Least Common Multiple of 15193 and 15201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15193 and 15201, than apply into the LCM equation.

GCF(15193,15201) = 1
LCM(15193,15201) = ( 15193 × 15201) / 1
LCM(15193,15201) = 230948793 / 1
LCM(15193,15201) = 230948793

Properties of LCM 15193 and 15201

(i) The LCM of 15201 and 15193 is associative

LCM of 15193 and 15201 = LCM of 15201 and 15193

Related Least Common Multiples of 15193

Related Least Common Multiples of 15201

Frequently Asked Questions on LCM of 15193 and 15201

1. What is the LCM of 15193 and 15201?

Answer: LCM of 15193 and 15201 is 230948793.

2. What are the Factors of 15193?

Answer: Factors of 15193 are 1, 15193. There are 2 integers that are factors of 15193. The greatest factor of 15193 is 15193.

3. What are the Factors of 15201?

Answer: Factors of 15201 are 1, 3, 9, 27, 563, 1689, 5067, 15201. There are 8 integers that are factors of 15201. The greatest factor of 15201 is 15201.

4. How to Find the LCM of 15193 and 15201?

Answer:

Least Common Multiple of 15193 and 15201 = 230948793

Step 1: Find the prime factorization of 15193

15193 = 15193

Step 2: Find the prime factorization of 15201

15201 = 3 x 3 x 3 x 563

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

LCM = 230948793 = 3 x 3 x 3 x 563 x 15193

Step 4: Therefore, the least common multiple of 15193 and 15201 is 230948793.