Least Common Multiple of 9378 and 9383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9378 and 9383 the smallest integer that is 87993774 that is divisible by both numbers.

Least Common Multiple (LCM) of 9378 and 9383 is 87993774.

LCM(9378,9383) = 87993774

LCM of 9378 and 9383

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

LCM of:
and

Least Common Multiple of 9378 and 9383

LCM of 9378 and 9383 is 87993774

Least common multiple can be found by multiplying the highest exponent prime factors of 9378 and 9383. First we will calculate the prime factors of 9378 and 9383.

Prime Factorization of 9378


2 9378
3 4689
3 1563
521 521
1

Prime factors of 9378 are 2, 3,521. Prime factorization of 9378 in exponential form is:

9378 = 21×32×5211

Prime Factorization of 9383


11 9383
853 853
1

Prime factors of 9383 are 11,853. Prime factorization of 9383 in exponential form is:

9383 = 111×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 9378 and 9383.

LCM(9378,9383) = 21×32×111×5211×8531
LCM(9378,9383) = 87993774

Factors of 9378

List of positive integer factors of 9378 that divides 9378 without a remainder.

1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378

Factors of 9383

List of positive integer factors of 9383 that divides 9383 without a remainder.

1, 11, 853, 9383

Least Common Multiple of 9378 and 9383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9378 and 9383, than apply into the LCM equation.

GCF(9378,9383) = 1
LCM(9378,9383) = ( 9378 × 9383) / 1
LCM(9378,9383) = 87993774 / 1
LCM(9378,9383) = 87993774

Properties of LCM 9378 and 9383

(i) The LCM of 9383 and 9378 is associative

LCM of 9378 and 9383 = LCM of 9383 and 9378

Related Least Common Multiples of 9378

Related Least Common Multiples of 9383

Frequently Asked Questions on LCM of 9378 and 9383

1. What is the LCM of 9378 and 9383?

Answer: LCM of 9378 and 9383 is 87993774.

2. What are the Factors of 9378?

Answer: Factors of 9378 are 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378. There are 12 integers that are factors of 9378. The greatest factor of 9378 is 9378.

3. What are the Factors of 9383?

Answer: Factors of 9383 are 1, 11, 853, 9383. There are 4 integers that are factors of 9383. The greatest factor of 9383 is 9383.

4. How to Find the LCM of 9378 and 9383?

Answer:

Least Common Multiple of 9378 and 9383 = 87993774

Step 1: Find the prime factorization of 9378

9378 = 2 x 3 x 3 x 521

Step 2: Find the prime factorization of 9383

9383 = 11 x 853

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

LCM = 87993774 = 2 x 3 x 3 x 11 x 521 x 853

Step 4: Therefore, the least common multiple of 9378 and 9383 is 87993774.