Least Common Multiple of 7383 and 7384

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 7384 the smallest integer that is 54516072 that is divisible by both numbers.

Least Common Multiple (LCM) of 7383 and 7384 is 54516072.

LCM(7383,7384) = 54516072

LCM of 7383 and 7384

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

LCM of:
and

Least Common Multiple of 7383 and 7384

LCM of 7383 and 7384 is 54516072

Least common multiple can be found by multiplying the highest exponent prime factors of 7383 and 7384. First we will calculate the prime factors of 7383 and 7384.

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 7384


2 7384
2 3692
2 1846
13 923
71 71
1

Prime factors of 7384 are 2, 13,71. Prime factorization of 7384 in exponential form is:

7384 = 23×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7383 and 7384.

LCM(7383,7384) = 23×31×131×231×711×1071
LCM(7383,7384) = 54516072

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 7384

List of positive integer factors of 7384 that divides 7384 without a remainder.

1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384

Least Common Multiple of 7383 and 7384 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 7384, than apply into the LCM equation.

GCF(7383,7384) = 1
LCM(7383,7384) = ( 7383 × 7384) / 1
LCM(7383,7384) = 54516072 / 1
LCM(7383,7384) = 54516072

Properties of LCM 7383 and 7384

(i) The LCM of 7384 and 7383 is associative

LCM of 7383 and 7384 = LCM of 7384 and 7383

Related Least Common Multiples of 7383

Related Least Common Multiples of 7384

Frequently Asked Questions on LCM of 7383 and 7384

1. What is the LCM of 7383 and 7384?

Answer: LCM of 7383 and 7384 is 54516072.

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 7384?

Answer: Factors of 7384 are 1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384. There are 16 integers that are factors of 7384. The greatest factor of 7384 is 7384.

4. How to Find the LCM of 7383 and 7384?

Answer:

Least Common Multiple of 7383 and 7384 = 54516072

Step 1: Find the prime factorization of 7383

7383 = 3 x 23 x 107

Step 2: Find the prime factorization of 7384

7384 = 2 x 2 x 2 x 13 x 71

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

LCM = 54516072 = 2 x 2 x 2 x 3 x 13 x 23 x 71 x 107

Step 4: Therefore, the least common multiple of 7383 and 7384 is 54516072.