Least Common Multiple of 7376 and 7381

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 7381 the smallest integer that is 54442256 that is divisible by both numbers.

Least Common Multiple (LCM) of 7376 and 7381 is 54442256.

LCM(7376,7381) = 54442256

LCM of 7376 and 7381

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

LCM of:
and

Least Common Multiple of 7376 and 7381

LCM of 7376 and 7381 is 54442256

Least common multiple can be found by multiplying the highest exponent prime factors of 7376 and 7381. First we will calculate the prime factors of 7376 and 7381.

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 7381


11 7381
11 671
61 61
1

Prime factors of 7381 are 11,61. Prime factorization of 7381 in exponential form is:

7381 = 112×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7376 and 7381.

LCM(7376,7381) = 24×112×611×4611
LCM(7376,7381) = 54442256

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 7381

List of positive integer factors of 7381 that divides 7381 without a remainder.

1, 11, 61, 121, 671, 7381

Least Common Multiple of 7376 and 7381 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 7381, than apply into the LCM equation.

GCF(7376,7381) = 1
LCM(7376,7381) = ( 7376 × 7381) / 1
LCM(7376,7381) = 54442256 / 1
LCM(7376,7381) = 54442256

Properties of LCM 7376 and 7381

(i) The LCM of 7381 and 7376 is associative

LCM of 7376 and 7381 = LCM of 7381 and 7376

Related Least Common Multiples of 7376

Related Least Common Multiples of 7381

Frequently Asked Questions on LCM of 7376 and 7381

1. What is the LCM of 7376 and 7381?

Answer: LCM of 7376 and 7381 is 54442256.

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 7381?

Answer: Factors of 7381 are 1, 11, 61, 121, 671, 7381. There are 6 integers that are factors of 7381. The greatest factor of 7381 is 7381.

4. How to Find the LCM of 7376 and 7381?

Answer:

Least Common Multiple of 7376 and 7381 = 54442256

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 7381

7381 = 11 x 11 x 61

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

LCM = 54442256 = 2 x 2 x 2 x 2 x 11 x 11 x 61 x 461

Step 4: Therefore, the least common multiple of 7376 and 7381 is 54442256.