Least Common Multiple of 9364 and 9370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9364 and 9370 the smallest integer that is 43870340 that is divisible by both numbers.

Least Common Multiple (LCM) of 9364 and 9370 is 43870340.

LCM(9364,9370) = 43870340

LCM of 9364 and 9370

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

LCM of:
and

Least Common Multiple of 9364 and 9370

LCM of 9364 and 9370 is 43870340

Least common multiple can be found by multiplying the highest exponent prime factors of 9364 and 9370. First we will calculate the prime factors of 9364 and 9370.

Prime Factorization of 9364


2 9364
2 4682
2341 2341
1

Prime factors of 9364 are 2,2341. Prime factorization of 9364 in exponential form is:

9364 = 22×23411

Prime Factorization of 9370


2 9370
5 4685
937 937
1

Prime factors of 9370 are 2, 5,937. Prime factorization of 9370 in exponential form is:

9370 = 21×51×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 9364 and 9370.

LCM(9364,9370) = 22×51×9371×23411
LCM(9364,9370) = 43870340

Factors of 9364

List of positive integer factors of 9364 that divides 9364 without a remainder.

1, 2, 4, 2341, 4682, 9364

Factors of 9370

List of positive integer factors of 9370 that divides 9370 without a remainder.

1, 2, 5, 10, 937, 1874, 4685, 9370

Least Common Multiple of 9364 and 9370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9364 and 9370, than apply into the LCM equation.

GCF(9364,9370) = 2
LCM(9364,9370) = ( 9364 × 9370) / 2
LCM(9364,9370) = 87740680 / 2
LCM(9364,9370) = 43870340

Properties of LCM 9364 and 9370

(i) The LCM of 9370 and 9364 is associative

LCM of 9364 and 9370 = LCM of 9370 and 9364

Related Least Common Multiples of 9364

Related Least Common Multiples of 9370

Frequently Asked Questions on LCM of 9364 and 9370

1. What is the LCM of 9364 and 9370?

Answer: LCM of 9364 and 9370 is 43870340.

2. What are the Factors of 9364?

Answer: Factors of 9364 are 1, 2, 4, 2341, 4682, 9364. There are 6 integers that are factors of 9364. The greatest factor of 9364 is 9364.

3. What are the Factors of 9370?

Answer: Factors of 9370 are 1, 2, 5, 10, 937, 1874, 4685, 9370. There are 8 integers that are factors of 9370. The greatest factor of 9370 is 9370.

4. How to Find the LCM of 9364 and 9370?

Answer:

Least Common Multiple of 9364 and 9370 = 43870340

Step 1: Find the prime factorization of 9364

9364 = 2 x 2 x 2341

Step 2: Find the prime factorization of 9370

9370 = 2 x 5 x 937

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

LCM = 43870340 = 2 x 2 x 5 x 937 x 2341

Step 4: Therefore, the least common multiple of 9364 and 9370 is 43870340.