Least Common Multiple of 7384 and 7390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7384 and 7390 the smallest integer that is 27283880 that is divisible by both numbers.

Least Common Multiple (LCM) of 7384 and 7390 is 27283880.

LCM(7384,7390) = 27283880

LCM of 7384 and 7390

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

LCM of:
and

Least Common Multiple of 7384 and 7390

LCM of 7384 and 7390 is 27283880

Least common multiple can be found by multiplying the highest exponent prime factors of 7384 and 7390. First we will calculate the prime factors of 7384 and 7390.

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

Prime Factorization of 7390


2 7390
5 3695
739 739
1

Prime factors of 7390 are 2, 5,739. Prime factorization of 7390 in exponential form is:

7390 = 21×51×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 7384 and 7390.

LCM(7384,7390) = 23×51×131×711×7391
LCM(7384,7390) = 27283880

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

Factors of 7390

List of positive integer factors of 7390 that divides 7390 without a remainder.

1, 2, 5, 10, 739, 1478, 3695, 7390

Least Common Multiple of 7384 and 7390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7384 and 7390, than apply into the LCM equation.

GCF(7384,7390) = 2
LCM(7384,7390) = ( 7384 × 7390) / 2
LCM(7384,7390) = 54567760 / 2
LCM(7384,7390) = 27283880

Properties of LCM 7384 and 7390

(i) The LCM of 7390 and 7384 is associative

LCM of 7384 and 7390 = LCM of 7390 and 7384

Related Least Common Multiples of 7384

Related Least Common Multiples of 7390

Frequently Asked Questions on LCM of 7384 and 7390

1. What is the LCM of 7384 and 7390?

Answer: LCM of 7384 and 7390 is 27283880.

2. 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.

3. What are the Factors of 7390?

Answer: Factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390. There are 8 integers that are factors of 7390. The greatest factor of 7390 is 7390.

4. How to Find the LCM of 7384 and 7390?

Answer:

Least Common Multiple of 7384 and 7390 = 27283880

Step 1: Find the prime factorization of 7384

7384 = 2 x 2 x 2 x 13 x 71

Step 2: Find the prime factorization of 7390

7390 = 2 x 5 x 739

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

LCM = 27283880 = 2 x 2 x 2 x 5 x 13 x 71 x 739

Step 4: Therefore, the least common multiple of 7384 and 7390 is 27283880.