Least Common Multiple of 7375 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 7375 and 7383 the smallest integer that is 54449625 that is divisible by both numbers.

Least Common Multiple (LCM) of 7375 and 7383 is 54449625.

LCM(7375,7383) = 54449625

LCM of 7375 and 7383

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

LCM of:
and

Least Common Multiple of 7375 and 7383

LCM of 7375 and 7383 is 54449625

Least common multiple can be found by multiplying the highest exponent prime factors of 7375 and 7383. First we will calculate the prime factors of 7375 and 7383.

Prime Factorization of 7375


5 7375
5 1475
5 295
59 59
1

Prime factors of 7375 are 5,59. Prime factorization of 7375 in exponential form is:

7375 = 53×591

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 7375 and 7383.

LCM(7375,7383) = 31×53×231×591×1071
LCM(7375,7383) = 54449625

Factors of 7375

List of positive integer factors of 7375 that divides 7375 without a remainder.

1, 5, 25, 59, 125, 295, 1475, 7375

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 7375 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 7375 and 7383, than apply into the LCM equation.

GCF(7375,7383) = 1
LCM(7375,7383) = ( 7375 × 7383) / 1
LCM(7375,7383) = 54449625 / 1
LCM(7375,7383) = 54449625

Properties of LCM 7375 and 7383

(i) The LCM of 7383 and 7375 is associative

LCM of 7375 and 7383 = LCM of 7383 and 7375

Related Least Common Multiples of 7375

Related Least Common Multiples of 7383

Frequently Asked Questions on LCM of 7375 and 7383

1. What is the LCM of 7375 and 7383?

Answer: LCM of 7375 and 7383 is 54449625.

2. What are the Factors of 7375?

Answer: Factors of 7375 are 1, 5, 25, 59, 125, 295, 1475, 7375. There are 8 integers that are factors of 7375. The greatest factor of 7375 is 7375.

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 7375 and 7383?

Answer:

Least Common Multiple of 7375 and 7383 = 54449625

Step 1: Find the prime factorization of 7375

7375 = 5 x 5 x 5 x 59

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 = 54449625 = 3 x 5 x 5 x 5 x 23 x 59 x 107

Step 4: Therefore, the least common multiple of 7375 and 7383 is 54449625.