Least Common Multiple of 7368 and 7375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7368 and 7375 the smallest integer that is 54339000 that is divisible by both numbers.

Least Common Multiple (LCM) of 7368 and 7375 is 54339000.

LCM(7368,7375) = 54339000

LCM of 7368 and 7375

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

LCM of:
and

Least Common Multiple of 7368 and 7375

LCM of 7368 and 7375 is 54339000

Least common multiple can be found by multiplying the highest exponent prime factors of 7368 and 7375. First we will calculate the prime factors of 7368 and 7375.

Prime Factorization of 7368


2 7368
2 3684
2 1842
3 921
307 307
1

Prime factors of 7368 are 2, 3,307. Prime factorization of 7368 in exponential form is:

7368 = 23×31×3071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7368 and 7375.

LCM(7368,7375) = 23×31×53×591×3071
LCM(7368,7375) = 54339000

Factors of 7368

List of positive integer factors of 7368 that divides 7368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368

Factors of 7375

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

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

Least Common Multiple of 7368 and 7375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7368 and 7375, than apply into the LCM equation.

GCF(7368,7375) = 1
LCM(7368,7375) = ( 7368 × 7375) / 1
LCM(7368,7375) = 54339000 / 1
LCM(7368,7375) = 54339000

Properties of LCM 7368 and 7375

(i) The LCM of 7375 and 7368 is associative

LCM of 7368 and 7375 = LCM of 7375 and 7368

Related Least Common Multiples of 7368

Related Least Common Multiples of 7375

Frequently Asked Questions on LCM of 7368 and 7375

1. What is the LCM of 7368 and 7375?

Answer: LCM of 7368 and 7375 is 54339000.

2. What are the Factors of 7368?

Answer: Factors of 7368 are 1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368. There are 16 integers that are factors of 7368. The greatest factor of 7368 is 7368.

3. 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.

4. How to Find the LCM of 7368 and 7375?

Answer:

Least Common Multiple of 7368 and 7375 = 54339000

Step 1: Find the prime factorization of 7368

7368 = 2 x 2 x 2 x 3 x 307

Step 2: Find the prime factorization of 7375

7375 = 5 x 5 x 5 x 59

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

LCM = 54339000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 59 x 307

Step 4: Therefore, the least common multiple of 7368 and 7375 is 54339000.