Least Common Multiple of 7383 and 7390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7383 and 7390 the smallest integer that is 54560370 that is divisible by both numbers.

Least Common Multiple (LCM) of 7383 and 7390 is 54560370.

LCM(7383,7390) = 54560370

LCM of 7383 and 7390

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

LCM of:
and

Least Common Multiple of 7383 and 7390

LCM of 7383 and 7390 is 54560370

Least common multiple can be found by multiplying the highest exponent prime factors of 7383 and 7390. First we will calculate the prime factors of 7383 and 7390.

Prime Factorization of 7383


3 7383
23 2461
107 107
1

Prime factors of 7383 are 3, 23,107. Prime factorization of 7383 in exponential form is:

7383 = 31×231×1071

Prime Factorization of 7390


2 7390
5 3695
739 739
1

Prime factors of 7390 are 2, 5,739. Prime factorization of 7390 in exponential form is:

7390 = 21×51×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 7383 and 7390.

LCM(7383,7390) = 21×31×51×231×1071×7391
LCM(7383,7390) = 54560370

Factors of 7383

List of positive integer factors of 7383 that divides 7383 without a remainder.

1, 3, 23, 69, 107, 321, 2461, 7383

Factors of 7390

List of positive integer factors of 7390 that divides 7390 without a remainder.

1, 2, 5, 10, 739, 1478, 3695, 7390

Least Common Multiple of 7383 and 7390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7383 and 7390, than apply into the LCM equation.

GCF(7383,7390) = 1
LCM(7383,7390) = ( 7383 × 7390) / 1
LCM(7383,7390) = 54560370 / 1
LCM(7383,7390) = 54560370

Properties of LCM 7383 and 7390

(i) The LCM of 7390 and 7383 is associative

LCM of 7383 and 7390 = LCM of 7390 and 7383

Related Least Common Multiples of 7383

Related Least Common Multiples of 7390

Frequently Asked Questions on LCM of 7383 and 7390

1. What is the LCM of 7383 and 7390?

Answer: LCM of 7383 and 7390 is 54560370.

2. What are the Factors of 7383?

Answer: Factors of 7383 are 1, 3, 23, 69, 107, 321, 2461, 7383. There are 8 integers that are factors of 7383. The greatest factor of 7383 is 7383.

3. What are the Factors of 7390?

Answer: Factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390. There are 8 integers that are factors of 7390. The greatest factor of 7390 is 7390.

4. How to Find the LCM of 7383 and 7390?

Answer:

Least Common Multiple of 7383 and 7390 = 54560370

Step 1: Find the prime factorization of 7383

7383 = 3 x 23 x 107

Step 2: Find the prime factorization of 7390

7390 = 2 x 5 x 739

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

LCM = 54560370 = 2 x 3 x 5 x 23 x 107 x 739

Step 4: Therefore, the least common multiple of 7383 and 7390 is 54560370.