Least Common Multiple of 7328 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 7328 and 7333 the smallest integer that is 53736224 that is divisible by both numbers.

Least Common Multiple (LCM) of 7328 and 7333 is 53736224.

LCM(7328,7333) = 53736224

LCM of 7328 and 7333

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

LCM of:
and

Least Common Multiple of 7328 and 7333

LCM of 7328 and 7333 is 53736224

Least common multiple can be found by multiplying the highest exponent prime factors of 7328 and 7333. First we will calculate the prime factors of 7328 and 7333.

Prime Factorization of 7328


2 7328
2 3664
2 1832
2 916
2 458
229 229
1

Prime factors of 7328 are 2,229. Prime factorization of 7328 in exponential form is:

7328 = 25×2291

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 7328 and 7333.

LCM(7328,7333) = 25×2291×73331
LCM(7328,7333) = 53736224

Factors of 7328

List of positive integer factors of 7328 that divides 7328 without a remainder.

1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328

Factors of 7333

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

1, 7333

Least Common Multiple of 7328 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 7328 and 7333, than apply into the LCM equation.

GCF(7328,7333) = 1
LCM(7328,7333) = ( 7328 × 7333) / 1
LCM(7328,7333) = 53736224 / 1
LCM(7328,7333) = 53736224

Properties of LCM 7328 and 7333

(i) The LCM of 7333 and 7328 is associative

LCM of 7328 and 7333 = LCM of 7333 and 7328

Related Least Common Multiples of 7328

Related Least Common Multiples of 7333

Frequently Asked Questions on LCM of 7328 and 7333

1. What is the LCM of 7328 and 7333?

Answer: LCM of 7328 and 7333 is 53736224.

2. What are the Factors of 7328?

Answer: Factors of 7328 are 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328. There are 12 integers that are factors of 7328. The greatest factor of 7328 is 7328.

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 7328 and 7333?

Answer:

Least Common Multiple of 7328 and 7333 = 53736224

Step 1: Find the prime factorization of 7328

7328 = 2 x 2 x 2 x 2 x 2 x 229

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 = 53736224 = 2 x 2 x 2 x 2 x 2 x 229 x 7333

Step 4: Therefore, the least common multiple of 7328 and 7333 is 53736224.