Least Common Multiple of 7378 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 7378 and 7384 the smallest integer that is 27239576 that is divisible by both numbers.

Least Common Multiple (LCM) of 7378 and 7384 is 27239576.

LCM(7378,7384) = 27239576

LCM of 7378 and 7384

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

LCM of:
and

Least Common Multiple of 7378 and 7384

LCM of 7378 and 7384 is 27239576

Least common multiple can be found by multiplying the highest exponent prime factors of 7378 and 7384. First we will calculate the prime factors of 7378 and 7384.

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 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 7378 and 7384.

LCM(7378,7384) = 23×71×131×171×311×711
LCM(7378,7384) = 27239576

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 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 7378 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 7378 and 7384, than apply into the LCM equation.

GCF(7378,7384) = 2
LCM(7378,7384) = ( 7378 × 7384) / 2
LCM(7378,7384) = 54479152 / 2
LCM(7378,7384) = 27239576

Properties of LCM 7378 and 7384

(i) The LCM of 7384 and 7378 is associative

LCM of 7378 and 7384 = LCM of 7384 and 7378

Related Least Common Multiples of 7378

Related Least Common Multiples of 7384

Frequently Asked Questions on LCM of 7378 and 7384

1. What is the LCM of 7378 and 7384?

Answer: LCM of 7378 and 7384 is 27239576.

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 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 7378 and 7384?

Answer:

Least Common Multiple of 7378 and 7384 = 27239576

Step 1: Find the prime factorization of 7378

7378 = 2 x 7 x 17 x 31

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 = 27239576 = 2 x 2 x 2 x 7 x 13 x 17 x 31 x 71

Step 4: Therefore, the least common multiple of 7378 and 7384 is 27239576.