Least Common Multiple of 9373 and 9378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9373 and 9378 the smallest integer that is 87899994 that is divisible by both numbers.

Least Common Multiple (LCM) of 9373 and 9378 is 87899994.

LCM(9373,9378) = 87899994

LCM of 9373 and 9378

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

LCM of:
and

Least Common Multiple of 9373 and 9378

LCM of 9373 and 9378 is 87899994

Least common multiple can be found by multiplying the highest exponent prime factors of 9373 and 9378. First we will calculate the prime factors of 9373 and 9378.

Prime Factorization of 9373


7 9373
13 1339
103 103
1

Prime factors of 9373 are 7, 13,103. Prime factorization of 9373 in exponential form is:

9373 = 71×131×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9373 and 9378.

LCM(9373,9378) = 21×32×71×131×1031×5211
LCM(9373,9378) = 87899994

Factors of 9373

List of positive integer factors of 9373 that divides 9373 without a remainder.

1, 7, 13, 91, 103, 721, 1339, 9373

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

Least Common Multiple of 9373 and 9378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9373 and 9378, than apply into the LCM equation.

GCF(9373,9378) = 1
LCM(9373,9378) = ( 9373 × 9378) / 1
LCM(9373,9378) = 87899994 / 1
LCM(9373,9378) = 87899994

Properties of LCM 9373 and 9378

(i) The LCM of 9378 and 9373 is associative

LCM of 9373 and 9378 = LCM of 9378 and 9373

Related Least Common Multiples of 9373

Related Least Common Multiples of 9378

Frequently Asked Questions on LCM of 9373 and 9378

1. What is the LCM of 9373 and 9378?

Answer: LCM of 9373 and 9378 is 87899994.

2. What are the Factors of 9373?

Answer: Factors of 9373 are 1, 7, 13, 91, 103, 721, 1339, 9373. There are 8 integers that are factors of 9373. The greatest factor of 9373 is 9373.

3. 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.

4. How to Find the LCM of 9373 and 9378?

Answer:

Least Common Multiple of 9373 and 9378 = 87899994

Step 1: Find the prime factorization of 9373

9373 = 7 x 13 x 103

Step 2: Find the prime factorization of 9378

9378 = 2 x 3 x 3 x 521

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

LCM = 87899994 = 2 x 3 x 3 x 7 x 13 x 103 x 521

Step 4: Therefore, the least common multiple of 9373 and 9378 is 87899994.