Least Common Multiple of 7320 and 7325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7320 and 7325 the smallest integer that is 10723800 that is divisible by both numbers.

Least Common Multiple (LCM) of 7320 and 7325 is 10723800.

LCM(7320,7325) = 10723800

LCM of 7320 and 7325

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

LCM of:
and

Least Common Multiple of 7320 and 7325

LCM of 7320 and 7325 is 10723800

Least common multiple can be found by multiplying the highest exponent prime factors of 7320 and 7325. First we will calculate the prime factors of 7320 and 7325.

Prime Factorization of 7320


2 7320
2 3660
2 1830
3 915
5 305
61 61
1

Prime factors of 7320 are 2, 3, 5,61. Prime factorization of 7320 in exponential form is:

7320 = 23×31×51×611

Prime Factorization of 7325


5 7325
5 1465
293 293
1

Prime factors of 7325 are 5,293. Prime factorization of 7325 in exponential form is:

7325 = 52×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 7320 and 7325.

LCM(7320,7325) = 23×31×52×611×2931
LCM(7320,7325) = 10723800

Factors of 7320

List of positive integer factors of 7320 that divides 7320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320

Factors of 7325

List of positive integer factors of 7325 that divides 7325 without a remainder.

1, 5, 25, 293, 1465, 7325

Least Common Multiple of 7320 and 7325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7320 and 7325, than apply into the LCM equation.

GCF(7320,7325) = 5
LCM(7320,7325) = ( 7320 × 7325) / 5
LCM(7320,7325) = 53619000 / 5
LCM(7320,7325) = 10723800

Properties of LCM 7320 and 7325

(i) The LCM of 7325 and 7320 is associative

LCM of 7320 and 7325 = LCM of 7325 and 7320

Related Least Common Multiples of 7320

Related Least Common Multiples of 7325

Frequently Asked Questions on LCM of 7320 and 7325

1. What is the LCM of 7320 and 7325?

Answer: LCM of 7320 and 7325 is 10723800.

2. What are the Factors of 7320?

Answer: Factors of 7320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320. There are 32 integers that are factors of 7320. The greatest factor of 7320 is 7320.

3. What are the Factors of 7325?

Answer: Factors of 7325 are 1, 5, 25, 293, 1465, 7325. There are 6 integers that are factors of 7325. The greatest factor of 7325 is 7325.

4. How to Find the LCM of 7320 and 7325?

Answer:

Least Common Multiple of 7320 and 7325 = 10723800

Step 1: Find the prime factorization of 7320

7320 = 2 x 2 x 2 x 3 x 5 x 61

Step 2: Find the prime factorization of 7325

7325 = 5 x 5 x 293

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

LCM = 10723800 = 2 x 2 x 2 x 3 x 5 x 5 x 61 x 293

Step 4: Therefore, the least common multiple of 7320 and 7325 is 10723800.