Least Common Multiple of 7325 and 7333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7325 and 7333 the smallest integer that is 53714225 that is divisible by both numbers.

Least Common Multiple (LCM) of 7325 and 7333 is 53714225.

LCM(7325,7333) = 53714225

LCM of 7325 and 7333

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

LCM of:
and

Least Common Multiple of 7325 and 7333

LCM of 7325 and 7333 is 53714225

Least common multiple can be found by multiplying the highest exponent prime factors of 7325 and 7333. First we will calculate the prime factors of 7325 and 7333.

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

Prime Factorization of 7333


7333 7333
1

Prime factors of 7333 are 7333. Prime factorization of 7333 in exponential form is:

7333 = 73331

Now multiplying the highest exponent prime factors to calculate the LCM of 7325 and 7333.

LCM(7325,7333) = 52×2931×73331
LCM(7325,7333) = 53714225

Factors of 7325

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

1, 5, 25, 293, 1465, 7325

Factors of 7333

List of positive integer factors of 7333 that divides 7333 without a remainder.

1, 7333

Least Common Multiple of 7325 and 7333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7325 and 7333, than apply into the LCM equation.

GCF(7325,7333) = 1
LCM(7325,7333) = ( 7325 × 7333) / 1
LCM(7325,7333) = 53714225 / 1
LCM(7325,7333) = 53714225

Properties of LCM 7325 and 7333

(i) The LCM of 7333 and 7325 is associative

LCM of 7325 and 7333 = LCM of 7333 and 7325

Related Least Common Multiples of 7325

Related Least Common Multiples of 7333

Frequently Asked Questions on LCM of 7325 and 7333

1. What is the LCM of 7325 and 7333?

Answer: LCM of 7325 and 7333 is 53714225.

2. 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.

3. What are the Factors of 7333?

Answer: Factors of 7333 are 1, 7333. There are 2 integers that are factors of 7333. The greatest factor of 7333 is 7333.

4. How to Find the LCM of 7325 and 7333?

Answer:

Least Common Multiple of 7325 and 7333 = 53714225

Step 1: Find the prime factorization of 7325

7325 = 5 x 5 x 293

Step 2: Find the prime factorization of 7333

7333 = 7333

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

LCM = 53714225 = 5 x 5 x 293 x 7333

Step 4: Therefore, the least common multiple of 7325 and 7333 is 53714225.