Least Common Multiple of 7369 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 7369 and 7375 the smallest integer that is 54346375 that is divisible by both numbers.

Least Common Multiple (LCM) of 7369 and 7375 is 54346375.

LCM(7369,7375) = 54346375

LCM of 7369 and 7375

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

LCM of:
and

Least Common Multiple of 7369 and 7375

LCM of 7369 and 7375 is 54346375

Least common multiple can be found by multiplying the highest exponent prime factors of 7369 and 7375. First we will calculate the prime factors of 7369 and 7375.

Prime Factorization of 7369


7369 7369
1

Prime factors of 7369 are 7369. Prime factorization of 7369 in exponential form is:

7369 = 73691

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 7369 and 7375.

LCM(7369,7375) = 53×591×73691
LCM(7369,7375) = 54346375

Factors of 7369

List of positive integer factors of 7369 that divides 7369 without a remainder.

1, 7369

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 7369 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 7369 and 7375, than apply into the LCM equation.

GCF(7369,7375) = 1
LCM(7369,7375) = ( 7369 × 7375) / 1
LCM(7369,7375) = 54346375 / 1
LCM(7369,7375) = 54346375

Properties of LCM 7369 and 7375

(i) The LCM of 7375 and 7369 is associative

LCM of 7369 and 7375 = LCM of 7375 and 7369

Related Least Common Multiples of 7369

Related Least Common Multiples of 7375

Frequently Asked Questions on LCM of 7369 and 7375

1. What is the LCM of 7369 and 7375?

Answer: LCM of 7369 and 7375 is 54346375.

2. What are the Factors of 7369?

Answer: Factors of 7369 are 1, 7369. There are 2 integers that are factors of 7369. The greatest factor of 7369 is 7369.

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 7369 and 7375?

Answer:

Least Common Multiple of 7369 and 7375 = 54346375

Step 1: Find the prime factorization of 7369

7369 = 7369

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 = 54346375 = 5 x 5 x 5 x 59 x 7369

Step 4: Therefore, the least common multiple of 7369 and 7375 is 54346375.