Least Common Multiple of 9382 and 9390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9382 and 9390 the smallest integer that is 44048490 that is divisible by both numbers.

Least Common Multiple (LCM) of 9382 and 9390 is 44048490.

LCM(9382,9390) = 44048490

LCM of 9382 and 9390

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

LCM of:
and

Least Common Multiple of 9382 and 9390

LCM of 9382 and 9390 is 44048490

Least common multiple can be found by multiplying the highest exponent prime factors of 9382 and 9390. First we will calculate the prime factors of 9382 and 9390.

Prime Factorization of 9382


2 9382
4691 4691
1

Prime factors of 9382 are 2,4691. Prime factorization of 9382 in exponential form is:

9382 = 21×46911

Prime Factorization of 9390


2 9390
3 4695
5 1565
313 313
1

Prime factors of 9390 are 2, 3, 5,313. Prime factorization of 9390 in exponential form is:

9390 = 21×31×51×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 9382 and 9390.

LCM(9382,9390) = 21×31×51×3131×46911
LCM(9382,9390) = 44048490

Factors of 9382

List of positive integer factors of 9382 that divides 9382 without a remainder.

1, 2, 4691, 9382

Factors of 9390

List of positive integer factors of 9390 that divides 9390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 313, 626, 939, 1565, 1878, 3130, 4695, 9390

Least Common Multiple of 9382 and 9390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9382 and 9390, than apply into the LCM equation.

GCF(9382,9390) = 2
LCM(9382,9390) = ( 9382 × 9390) / 2
LCM(9382,9390) = 88096980 / 2
LCM(9382,9390) = 44048490

Properties of LCM 9382 and 9390

(i) The LCM of 9390 and 9382 is associative

LCM of 9382 and 9390 = LCM of 9390 and 9382

Related Least Common Multiples of 9382

Related Least Common Multiples of 9390

Frequently Asked Questions on LCM of 9382 and 9390

1. What is the LCM of 9382 and 9390?

Answer: LCM of 9382 and 9390 is 44048490.

2. What are the Factors of 9382?

Answer: Factors of 9382 are 1, 2, 4691, 9382. There are 4 integers that are factors of 9382. The greatest factor of 9382 is 9382.

3. What are the Factors of 9390?

Answer: Factors of 9390 are 1, 2, 3, 5, 6, 10, 15, 30, 313, 626, 939, 1565, 1878, 3130, 4695, 9390. There are 16 integers that are factors of 9390. The greatest factor of 9390 is 9390.

4. How to Find the LCM of 9382 and 9390?

Answer:

Least Common Multiple of 9382 and 9390 = 44048490

Step 1: Find the prime factorization of 9382

9382 = 2 x 4691

Step 2: Find the prime factorization of 9390

9390 = 2 x 3 x 5 x 313

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

LCM = 44048490 = 2 x 3 x 5 x 313 x 4691

Step 4: Therefore, the least common multiple of 9382 and 9390 is 44048490.