Least Common Multiple of 7385 and 7393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7385 and 7393 the smallest integer that is 54597305 that is divisible by both numbers.

Least Common Multiple (LCM) of 7385 and 7393 is 54597305.

LCM(7385,7393) = 54597305

LCM of 7385 and 7393

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

LCM of:
and

Least Common Multiple of 7385 and 7393

LCM of 7385 and 7393 is 54597305

Least common multiple can be found by multiplying the highest exponent prime factors of 7385 and 7393. First we will calculate the prime factors of 7385 and 7393.

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

Prime Factorization of 7393


7393 7393
1

Prime factors of 7393 are 7393. Prime factorization of 7393 in exponential form is:

7393 = 73931

Now multiplying the highest exponent prime factors to calculate the LCM of 7385 and 7393.

LCM(7385,7393) = 51×71×2111×73931
LCM(7385,7393) = 54597305

Factors of 7385

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

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

Factors of 7393

List of positive integer factors of 7393 that divides 7393 without a remainder.

1, 7393

Least Common Multiple of 7385 and 7393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7385 and 7393, than apply into the LCM equation.

GCF(7385,7393) = 1
LCM(7385,7393) = ( 7385 × 7393) / 1
LCM(7385,7393) = 54597305 / 1
LCM(7385,7393) = 54597305

Properties of LCM 7385 and 7393

(i) The LCM of 7393 and 7385 is associative

LCM of 7385 and 7393 = LCM of 7393 and 7385

Related Least Common Multiples of 7385

Related Least Common Multiples of 7393

Frequently Asked Questions on LCM of 7385 and 7393

1. What is the LCM of 7385 and 7393?

Answer: LCM of 7385 and 7393 is 54597305.

2. 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.

3. What are the Factors of 7393?

Answer: Factors of 7393 are 1, 7393. There are 2 integers that are factors of 7393. The greatest factor of 7393 is 7393.

4. How to Find the LCM of 7385 and 7393?

Answer:

Least Common Multiple of 7385 and 7393 = 54597305

Step 1: Find the prime factorization of 7385

7385 = 5 x 7 x 211

Step 2: Find the prime factorization of 7393

7393 = 7393

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

LCM = 54597305 = 5 x 7 x 211 x 7393

Step 4: Therefore, the least common multiple of 7385 and 7393 is 54597305.