Least Common Multiple of 7376 and 7383

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 7383 the smallest integer that is 54457008 that is divisible by both numbers.

Least Common Multiple (LCM) of 7376 and 7383 is 54457008.

LCM(7376,7383) = 54457008

LCM of 7376 and 7383

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

LCM of:
and

Least Common Multiple of 7376 and 7383

LCM of 7376 and 7383 is 54457008

Least common multiple can be found by multiplying the highest exponent prime factors of 7376 and 7383. First we will calculate the prime factors of 7376 and 7383.

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 7383


3 7383
23 2461
107 107
1

Prime factors of 7383 are 3, 23,107. Prime factorization of 7383 in exponential form is:

7383 = 31×231×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7376 and 7383.

LCM(7376,7383) = 24×31×231×1071×4611
LCM(7376,7383) = 54457008

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 7383

List of positive integer factors of 7383 that divides 7383 without a remainder.

1, 3, 23, 69, 107, 321, 2461, 7383

Least Common Multiple of 7376 and 7383 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 7383, than apply into the LCM equation.

GCF(7376,7383) = 1
LCM(7376,7383) = ( 7376 × 7383) / 1
LCM(7376,7383) = 54457008 / 1
LCM(7376,7383) = 54457008

Properties of LCM 7376 and 7383

(i) The LCM of 7383 and 7376 is associative

LCM of 7376 and 7383 = LCM of 7383 and 7376

Related Least Common Multiples of 7376

Related Least Common Multiples of 7383

Frequently Asked Questions on LCM of 7376 and 7383

1. What is the LCM of 7376 and 7383?

Answer: LCM of 7376 and 7383 is 54457008.

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 7383?

Answer: Factors of 7383 are 1, 3, 23, 69, 107, 321, 2461, 7383. There are 8 integers that are factors of 7383. The greatest factor of 7383 is 7383.

4. How to Find the LCM of 7376 and 7383?

Answer:

Least Common Multiple of 7376 and 7383 = 54457008

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 7383

7383 = 3 x 23 x 107

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

LCM = 54457008 = 2 x 2 x 2 x 2 x 3 x 23 x 107 x 461

Step 4: Therefore, the least common multiple of 7376 and 7383 is 54457008.