Least Common Multiple of 15391 and 15398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15391 and 15398 the smallest integer that is 236990618 that is divisible by both numbers.

Least Common Multiple (LCM) of 15391 and 15398 is 236990618.

LCM(15391,15398) = 236990618

LCM of 15391 and 15398

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

LCM of:
and

Least Common Multiple of 15391 and 15398

LCM of 15391 and 15398 is 236990618

Least common multiple can be found by multiplying the highest exponent prime factors of 15391 and 15398. First we will calculate the prime factors of 15391 and 15398.

Prime Factorization of 15391


15391 15391
1

Prime factors of 15391 are 15391. Prime factorization of 15391 in exponential form is:

15391 = 153911

Prime Factorization of 15398


2 15398
7699 7699
1

Prime factors of 15398 are 2,7699. Prime factorization of 15398 in exponential form is:

15398 = 21×76991

Now multiplying the highest exponent prime factors to calculate the LCM of 15391 and 15398.

LCM(15391,15398) = 21×76991×153911
LCM(15391,15398) = 236990618

Factors of 15391

List of positive integer factors of 15391 that divides 15391 without a remainder.

1, 15391

Factors of 15398

List of positive integer factors of 15398 that divides 15398 without a remainder.

1, 2, 7699, 15398

Least Common Multiple of 15391 and 15398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15391 and 15398, than apply into the LCM equation.

GCF(15391,15398) = 1
LCM(15391,15398) = ( 15391 × 15398) / 1
LCM(15391,15398) = 236990618 / 1
LCM(15391,15398) = 236990618

Properties of LCM 15391 and 15398

(i) The LCM of 15398 and 15391 is associative

LCM of 15391 and 15398 = LCM of 15398 and 15391

Related Least Common Multiples of 15391

Related Least Common Multiples of 15398

Frequently Asked Questions on LCM of 15391 and 15398

1. What is the LCM of 15391 and 15398?

Answer: LCM of 15391 and 15398 is 236990618.

2. What are the Factors of 15391?

Answer: Factors of 15391 are 1, 15391. There are 2 integers that are factors of 15391. The greatest factor of 15391 is 15391.

3. What are the Factors of 15398?

Answer: Factors of 15398 are 1, 2, 7699, 15398. There are 4 integers that are factors of 15398. The greatest factor of 15398 is 15398.

4. How to Find the LCM of 15391 and 15398?

Answer:

Least Common Multiple of 15391 and 15398 = 236990618

Step 1: Find the prime factorization of 15391

15391 = 15391

Step 2: Find the prime factorization of 15398

15398 = 2 x 7699

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

LCM = 236990618 = 2 x 7699 x 15391

Step 4: Therefore, the least common multiple of 15391 and 15398 is 236990618.