Least Common Multiple of 7378 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 7378 and 7385 the smallest integer that is 7783790 that is divisible by both numbers.

Least Common Multiple (LCM) of 7378 and 7385 is 7783790.

LCM(7378,7385) = 7783790

LCM of 7378 and 7385

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

LCM of:
and

Least Common Multiple of 7378 and 7385

LCM of 7378 and 7385 is 7783790

Least common multiple can be found by multiplying the highest exponent prime factors of 7378 and 7385. First we will calculate the prime factors of 7378 and 7385.

Prime Factorization of 7378


2 7378
7 3689
17 527
31 31
1

Prime factors of 7378 are 2, 7, 17,31. Prime factorization of 7378 in exponential form is:

7378 = 21×71×171×311

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 7378 and 7385.

LCM(7378,7385) = 21×51×71×171×311×2111
LCM(7378,7385) = 7783790

Factors of 7378

List of positive integer factors of 7378 that divides 7378 without a remainder.

1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378

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 7378 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 7378 and 7385, than apply into the LCM equation.

GCF(7378,7385) = 7
LCM(7378,7385) = ( 7378 × 7385) / 7
LCM(7378,7385) = 54486530 / 7
LCM(7378,7385) = 7783790

Properties of LCM 7378 and 7385

(i) The LCM of 7385 and 7378 is associative

LCM of 7378 and 7385 = LCM of 7385 and 7378

Related Least Common Multiples of 7378

Related Least Common Multiples of 7385

Frequently Asked Questions on LCM of 7378 and 7385

1. What is the LCM of 7378 and 7385?

Answer: LCM of 7378 and 7385 is 7783790.

2. What are the Factors of 7378?

Answer: Factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378. There are 16 integers that are factors of 7378. The greatest factor of 7378 is 7378.

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 7378 and 7385?

Answer:

Least Common Multiple of 7378 and 7385 = 7783790

Step 1: Find the prime factorization of 7378

7378 = 2 x 7 x 17 x 31

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 = 7783790 = 2 x 5 x 7 x 17 x 31 x 211

Step 4: Therefore, the least common multiple of 7378 and 7385 is 7783790.