Least Common Multiple of 9369 and 9377

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 9377 the smallest integer that is 87853113 that is divisible by both numbers.

Least Common Multiple (LCM) of 9369 and 9377 is 87853113.

LCM(9369,9377) = 87853113

LCM of 9369 and 9377

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

LCM of:
and

Least Common Multiple of 9369 and 9377

LCM of 9369 and 9377 is 87853113

Least common multiple can be found by multiplying the highest exponent prime factors of 9369 and 9377. First we will calculate the prime factors of 9369 and 9377.

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 9377


9377 9377
1

Prime factors of 9377 are 9377. Prime factorization of 9377 in exponential form is:

9377 = 93771

Now multiplying the highest exponent prime factors to calculate the LCM of 9369 and 9377.

LCM(9369,9377) = 33×3471×93771
LCM(9369,9377) = 87853113

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 9377

List of positive integer factors of 9377 that divides 9377 without a remainder.

1, 9377

Least Common Multiple of 9369 and 9377 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 9377, than apply into the LCM equation.

GCF(9369,9377) = 1
LCM(9369,9377) = ( 9369 × 9377) / 1
LCM(9369,9377) = 87853113 / 1
LCM(9369,9377) = 87853113

Properties of LCM 9369 and 9377

(i) The LCM of 9377 and 9369 is associative

LCM of 9369 and 9377 = LCM of 9377 and 9369

Related Least Common Multiples of 9369

Related Least Common Multiples of 9377

Frequently Asked Questions on LCM of 9369 and 9377

1. What is the LCM of 9369 and 9377?

Answer: LCM of 9369 and 9377 is 87853113.

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 9377?

Answer: Factors of 9377 are 1, 9377. There are 2 integers that are factors of 9377. The greatest factor of 9377 is 9377.

4. How to Find the LCM of 9369 and 9377?

Answer:

Least Common Multiple of 9369 and 9377 = 87853113

Step 1: Find the prime factorization of 9369

9369 = 3 x 3 x 3 x 347

Step 2: Find the prime factorization of 9377

9377 = 9377

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

LCM = 87853113 = 3 x 3 x 3 x 347 x 9377

Step 4: Therefore, the least common multiple of 9369 and 9377 is 87853113.