Least Common Multiple of 7383 and 7385

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 7385 the smallest integer that is 54523455 that is divisible by both numbers.

Least Common Multiple (LCM) of 7383 and 7385 is 54523455.

LCM(7383,7385) = 54523455

LCM of 7383 and 7385

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

LCM of:
and

Least Common Multiple of 7383 and 7385

LCM of 7383 and 7385 is 54523455

Least common multiple can be found by multiplying the highest exponent prime factors of 7383 and 7385. First we will calculate the prime factors of 7383 and 7385.

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 7385


5 7385
7 1477
211 211
1

Prime factors of 7385 are 5, 7,211. Prime factorization of 7385 in exponential form is:

7385 = 51×71×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 7383 and 7385.

LCM(7383,7385) = 31×51×71×231×1071×2111
LCM(7383,7385) = 54523455

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 7385

List of positive integer factors of 7385 that divides 7385 without a remainder.

1, 5, 7, 35, 211, 1055, 1477, 7385

Least Common Multiple of 7383 and 7385 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 7385, than apply into the LCM equation.

GCF(7383,7385) = 1
LCM(7383,7385) = ( 7383 × 7385) / 1
LCM(7383,7385) = 54523455 / 1
LCM(7383,7385) = 54523455

Properties of LCM 7383 and 7385

(i) The LCM of 7385 and 7383 is associative

LCM of 7383 and 7385 = LCM of 7385 and 7383

Related Least Common Multiples of 7383

Related Least Common Multiples of 7385

Frequently Asked Questions on LCM of 7383 and 7385

1. What is the LCM of 7383 and 7385?

Answer: LCM of 7383 and 7385 is 54523455.

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 7385?

Answer: Factors of 7385 are 1, 5, 7, 35, 211, 1055, 1477, 7385. There are 8 integers that are factors of 7385. The greatest factor of 7385 is 7385.

4. How to Find the LCM of 7383 and 7385?

Answer:

Least Common Multiple of 7383 and 7385 = 54523455

Step 1: Find the prime factorization of 7383

7383 = 3 x 23 x 107

Step 2: Find the prime factorization of 7385

7385 = 5 x 7 x 211

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

LCM = 54523455 = 3 x 5 x 7 x 23 x 107 x 211

Step 4: Therefore, the least common multiple of 7383 and 7385 is 54523455.