Least Common Multiple of 15369 and 15375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15369 and 15375 the smallest integer that is 78766125 that is divisible by both numbers.

Least Common Multiple (LCM) of 15369 and 15375 is 78766125.

LCM(15369,15375) = 78766125

LCM of 15369 and 15375

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

LCM of:
and

Least Common Multiple of 15369 and 15375

LCM of 15369 and 15375 is 78766125

Least common multiple can be found by multiplying the highest exponent prime factors of 15369 and 15375. First we will calculate the prime factors of 15369 and 15375.

Prime Factorization of 15369


3 15369
47 5123
109 109
1

Prime factors of 15369 are 3, 47,109. Prime factorization of 15369 in exponential form is:

15369 = 31×471×1091

Prime Factorization of 15375


3 15375
5 5125
5 1025
5 205
41 41
1

Prime factors of 15375 are 3, 5,41. Prime factorization of 15375 in exponential form is:

15375 = 31×53×411

Now multiplying the highest exponent prime factors to calculate the LCM of 15369 and 15375.

LCM(15369,15375) = 31×53×411×471×1091
LCM(15369,15375) = 78766125

Factors of 15369

List of positive integer factors of 15369 that divides 15369 without a remainder.

1, 3, 47, 109, 141, 327, 5123, 15369

Factors of 15375

List of positive integer factors of 15375 that divides 15375 without a remainder.

1, 3, 5, 15, 25, 41, 75, 123, 125, 205, 375, 615, 1025, 3075, 5125, 15375

Least Common Multiple of 15369 and 15375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15369 and 15375, than apply into the LCM equation.

GCF(15369,15375) = 3
LCM(15369,15375) = ( 15369 × 15375) / 3
LCM(15369,15375) = 236298375 / 3
LCM(15369,15375) = 78766125

Properties of LCM 15369 and 15375

(i) The LCM of 15375 and 15369 is associative

LCM of 15369 and 15375 = LCM of 15375 and 15369

Related Least Common Multiples of 15369

Related Least Common Multiples of 15375

Frequently Asked Questions on LCM of 15369 and 15375

1. What is the LCM of 15369 and 15375?

Answer: LCM of 15369 and 15375 is 78766125.

2. What are the Factors of 15369?

Answer: Factors of 15369 are 1, 3, 47, 109, 141, 327, 5123, 15369. There are 8 integers that are factors of 15369. The greatest factor of 15369 is 15369.

3. What are the Factors of 15375?

Answer: Factors of 15375 are 1, 3, 5, 15, 25, 41, 75, 123, 125, 205, 375, 615, 1025, 3075, 5125, 15375. There are 16 integers that are factors of 15375. The greatest factor of 15375 is 15375.

4. How to Find the LCM of 15369 and 15375?

Answer:

Least Common Multiple of 15369 and 15375 = 78766125

Step 1: Find the prime factorization of 15369

15369 = 3 x 47 x 109

Step 2: Find the prime factorization of 15375

15375 = 3 x 5 x 5 x 5 x 41

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

LCM = 78766125 = 3 x 5 x 5 x 5 x 41 x 47 x 109

Step 4: Therefore, the least common multiple of 15369 and 15375 is 78766125.