Least Common Multiple of 7384 and 7391

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 7391 the smallest integer that is 54575144 that is divisible by both numbers.

Least Common Multiple (LCM) of 7384 and 7391 is 54575144.

LCM(7384,7391) = 54575144

LCM of 7384 and 7391

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

LCM of:
and

Least Common Multiple of 7384 and 7391

LCM of 7384 and 7391 is 54575144

Least common multiple can be found by multiplying the highest exponent prime factors of 7384 and 7391. First we will calculate the prime factors of 7384 and 7391.

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 7391


19 7391
389 389
1

Prime factors of 7391 are 19,389. Prime factorization of 7391 in exponential form is:

7391 = 191×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 7384 and 7391.

LCM(7384,7391) = 23×131×191×711×3891
LCM(7384,7391) = 54575144

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 7391

List of positive integer factors of 7391 that divides 7391 without a remainder.

1, 19, 389, 7391

Least Common Multiple of 7384 and 7391 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 7391, than apply into the LCM equation.

GCF(7384,7391) = 1
LCM(7384,7391) = ( 7384 × 7391) / 1
LCM(7384,7391) = 54575144 / 1
LCM(7384,7391) = 54575144

Properties of LCM 7384 and 7391

(i) The LCM of 7391 and 7384 is associative

LCM of 7384 and 7391 = LCM of 7391 and 7384

Related Least Common Multiples of 7384

Related Least Common Multiples of 7391

Frequently Asked Questions on LCM of 7384 and 7391

1. What is the LCM of 7384 and 7391?

Answer: LCM of 7384 and 7391 is 54575144.

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 7391?

Answer: Factors of 7391 are 1, 19, 389, 7391. There are 4 integers that are factors of 7391. The greatest factor of 7391 is 7391.

4. How to Find the LCM of 7384 and 7391?

Answer:

Least Common Multiple of 7384 and 7391 = 54575144

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 7391

7391 = 19 x 389

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

LCM = 54575144 = 2 x 2 x 2 x 13 x 19 x 71 x 389

Step 4: Therefore, the least common multiple of 7384 and 7391 is 54575144.