Least Common Multiple of 7376 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 7376 and 7384 the smallest integer that is 6808048 that is divisible by both numbers.

Least Common Multiple (LCM) of 7376 and 7384 is 6808048.

LCM(7376,7384) = 6808048

LCM of 7376 and 7384

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

LCM of:
and

Least Common Multiple of 7376 and 7384

LCM of 7376 and 7384 is 6808048

Least common multiple can be found by multiplying the highest exponent prime factors of 7376 and 7384. First we will calculate the prime factors of 7376 and 7384.

Prime Factorization of 7376


2 7376
2 3688
2 1844
2 922
461 461
1

Prime factors of 7376 are 2,461. Prime factorization of 7376 in exponential form is:

7376 = 24×4611

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 7376 and 7384.

LCM(7376,7384) = 24×131×711×4611
LCM(7376,7384) = 6808048

Factors of 7376

List of positive integer factors of 7376 that divides 7376 without a remainder.

1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376

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 7376 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 7376 and 7384, than apply into the LCM equation.

GCF(7376,7384) = 8
LCM(7376,7384) = ( 7376 × 7384) / 8
LCM(7376,7384) = 54464384 / 8
LCM(7376,7384) = 6808048

Properties of LCM 7376 and 7384

(i) The LCM of 7384 and 7376 is associative

LCM of 7376 and 7384 = LCM of 7384 and 7376

Related Least Common Multiples of 7376

Related Least Common Multiples of 7384

Frequently Asked Questions on LCM of 7376 and 7384

1. What is the LCM of 7376 and 7384?

Answer: LCM of 7376 and 7384 is 6808048.

2. What are the Factors of 7376?

Answer: Factors of 7376 are 1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376. There are 10 integers that are factors of 7376. The greatest factor of 7376 is 7376.

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 7376 and 7384?

Answer:

Least Common Multiple of 7376 and 7384 = 6808048

Step 1: Find the prime factorization of 7376

7376 = 2 x 2 x 2 x 2 x 461

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 = 6808048 = 2 x 2 x 2 x 2 x 13 x 71 x 461

Step 4: Therefore, the least common multiple of 7376 and 7384 is 6808048.