Least Common Multiple of 7383 and 7388

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 7388 the smallest integer that is 54545604 that is divisible by both numbers.

Least Common Multiple (LCM) of 7383 and 7388 is 54545604.

LCM(7383,7388) = 54545604

LCM of 7383 and 7388

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

LCM of:
and

Least Common Multiple of 7383 and 7388

LCM of 7383 and 7388 is 54545604

Least common multiple can be found by multiplying the highest exponent prime factors of 7383 and 7388. First we will calculate the prime factors of 7383 and 7388.

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 7388


2 7388
2 3694
1847 1847
1

Prime factors of 7388 are 2,1847. Prime factorization of 7388 in exponential form is:

7388 = 22×18471

Now multiplying the highest exponent prime factors to calculate the LCM of 7383 and 7388.

LCM(7383,7388) = 22×31×231×1071×18471
LCM(7383,7388) = 54545604

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 7388

List of positive integer factors of 7388 that divides 7388 without a remainder.

1, 2, 4, 1847, 3694, 7388

Least Common Multiple of 7383 and 7388 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 7388, than apply into the LCM equation.

GCF(7383,7388) = 1
LCM(7383,7388) = ( 7383 × 7388) / 1
LCM(7383,7388) = 54545604 / 1
LCM(7383,7388) = 54545604

Properties of LCM 7383 and 7388

(i) The LCM of 7388 and 7383 is associative

LCM of 7383 and 7388 = LCM of 7388 and 7383

Related Least Common Multiples of 7383

Related Least Common Multiples of 7388

Frequently Asked Questions on LCM of 7383 and 7388

1. What is the LCM of 7383 and 7388?

Answer: LCM of 7383 and 7388 is 54545604.

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 7388?

Answer: Factors of 7388 are 1, 2, 4, 1847, 3694, 7388. There are 6 integers that are factors of 7388. The greatest factor of 7388 is 7388.

4. How to Find the LCM of 7383 and 7388?

Answer:

Least Common Multiple of 7383 and 7388 = 54545604

Step 1: Find the prime factorization of 7383

7383 = 3 x 23 x 107

Step 2: Find the prime factorization of 7388

7388 = 2 x 2 x 1847

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

LCM = 54545604 = 2 x 2 x 3 x 23 x 107 x 1847

Step 4: Therefore, the least common multiple of 7383 and 7388 is 54545604.