Least Common Multiple of 9369 and 9375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9369 and 9375 the smallest integer that is 29278125 that is divisible by both numbers.

Least Common Multiple (LCM) of 9369 and 9375 is 29278125.

LCM(9369,9375) = 29278125

LCM of 9369 and 9375

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

LCM of:
and

Least Common Multiple of 9369 and 9375

LCM of 9369 and 9375 is 29278125

Least common multiple can be found by multiplying the highest exponent prime factors of 9369 and 9375. First we will calculate the prime factors of 9369 and 9375.

Prime Factorization of 9369


3 9369
3 3123
3 1041
347 347
1

Prime factors of 9369 are 3,347. Prime factorization of 9369 in exponential form is:

9369 = 33×3471

Prime Factorization of 9375


3 9375
5 3125
5 625
5 125
5 25
5 5
1

Prime factors of 9375 are 3,5. Prime factorization of 9375 in exponential form is:

9375 = 31×55

Now multiplying the highest exponent prime factors to calculate the LCM of 9369 and 9375.

LCM(9369,9375) = 33×55×3471
LCM(9369,9375) = 29278125

Factors of 9369

List of positive integer factors of 9369 that divides 9369 without a remainder.

1, 3, 9, 27, 347, 1041, 3123, 9369

Factors of 9375

List of positive integer factors of 9375 that divides 9375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375

Least Common Multiple of 9369 and 9375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9369 and 9375, than apply into the LCM equation.

GCF(9369,9375) = 3
LCM(9369,9375) = ( 9369 × 9375) / 3
LCM(9369,9375) = 87834375 / 3
LCM(9369,9375) = 29278125

Properties of LCM 9369 and 9375

(i) The LCM of 9375 and 9369 is associative

LCM of 9369 and 9375 = LCM of 9375 and 9369

Related Least Common Multiples of 9369

Related Least Common Multiples of 9375

Frequently Asked Questions on LCM of 9369 and 9375

1. What is the LCM of 9369 and 9375?

Answer: LCM of 9369 and 9375 is 29278125.

2. What are the Factors of 9369?

Answer: Factors of 9369 are 1, 3, 9, 27, 347, 1041, 3123, 9369. There are 8 integers that are factors of 9369. The greatest factor of 9369 is 9369.

3. What are the Factors of 9375?

Answer: Factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375. There are 12 integers that are factors of 9375. The greatest factor of 9375 is 9375.

4. How to Find the LCM of 9369 and 9375?

Answer:

Least Common Multiple of 9369 and 9375 = 29278125

Step 1: Find the prime factorization of 9369

9369 = 3 x 3 x 3 x 347

Step 2: Find the prime factorization of 9375

9375 = 3 x 5 x 5 x 5 x 5 x 5

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

LCM = 29278125 = 3 x 3 x 3 x 5 x 5 x 5 x 5 x 5 x 347

Step 4: Therefore, the least common multiple of 9369 and 9375 is 29278125.