Least Common Multiple of 7378 and 7382

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 7382 the smallest integer that is 27232198 that is divisible by both numbers.

Least Common Multiple (LCM) of 7378 and 7382 is 27232198.

LCM(7378,7382) = 27232198

LCM of 7378 and 7382

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

LCM of:
and

Least Common Multiple of 7378 and 7382

LCM of 7378 and 7382 is 27232198

Least common multiple can be found by multiplying the highest exponent prime factors of 7378 and 7382. First we will calculate the prime factors of 7378 and 7382.

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 7382


2 7382
3691 3691
1

Prime factors of 7382 are 2,3691. Prime factorization of 7382 in exponential form is:

7382 = 21×36911

Now multiplying the highest exponent prime factors to calculate the LCM of 7378 and 7382.

LCM(7378,7382) = 21×71×171×311×36911
LCM(7378,7382) = 27232198

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 7382

List of positive integer factors of 7382 that divides 7382 without a remainder.

1, 2, 3691, 7382

Least Common Multiple of 7378 and 7382 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 7382, than apply into the LCM equation.

GCF(7378,7382) = 2
LCM(7378,7382) = ( 7378 × 7382) / 2
LCM(7378,7382) = 54464396 / 2
LCM(7378,7382) = 27232198

Properties of LCM 7378 and 7382

(i) The LCM of 7382 and 7378 is associative

LCM of 7378 and 7382 = LCM of 7382 and 7378

Related Least Common Multiples of 7378

Related Least Common Multiples of 7382

Frequently Asked Questions on LCM of 7378 and 7382

1. What is the LCM of 7378 and 7382?

Answer: LCM of 7378 and 7382 is 27232198.

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 7382?

Answer: Factors of 7382 are 1, 2, 3691, 7382. There are 4 integers that are factors of 7382. The greatest factor of 7382 is 7382.

4. How to Find the LCM of 7378 and 7382?

Answer:

Least Common Multiple of 7378 and 7382 = 27232198

Step 1: Find the prime factorization of 7378

7378 = 2 x 7 x 17 x 31

Step 2: Find the prime factorization of 7382

7382 = 2 x 3691

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

LCM = 27232198 = 2 x 7 x 17 x 31 x 3691

Step 4: Therefore, the least common multiple of 7378 and 7382 is 27232198.