Least Common Multiple of 7333 and 7340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7333 and 7340 the smallest integer that is 53824220 that is divisible by both numbers.

Least Common Multiple (LCM) of 7333 and 7340 is 53824220.

LCM(7333,7340) = 53824220

LCM of 7333 and 7340

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

LCM of:
and

Least Common Multiple of 7333 and 7340

LCM of 7333 and 7340 is 53824220

Least common multiple can be found by multiplying the highest exponent prime factors of 7333 and 7340. First we will calculate the prime factors of 7333 and 7340.

Prime Factorization of 7333


7333 7333
1

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

7333 = 73331

Prime Factorization of 7340


2 7340
2 3670
5 1835
367 367
1

Prime factors of 7340 are 2, 5,367. Prime factorization of 7340 in exponential form is:

7340 = 22×51×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 7333 and 7340.

LCM(7333,7340) = 22×51×3671×73331
LCM(7333,7340) = 53824220

Factors of 7333

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

1, 7333

Factors of 7340

List of positive integer factors of 7340 that divides 7340 without a remainder.

1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340

Least Common Multiple of 7333 and 7340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7333 and 7340, than apply into the LCM equation.

GCF(7333,7340) = 1
LCM(7333,7340) = ( 7333 × 7340) / 1
LCM(7333,7340) = 53824220 / 1
LCM(7333,7340) = 53824220

Properties of LCM 7333 and 7340

(i) The LCM of 7340 and 7333 is associative

LCM of 7333 and 7340 = LCM of 7340 and 7333

Related Least Common Multiples of 7333

Related Least Common Multiples of 7340

Frequently Asked Questions on LCM of 7333 and 7340

1. What is the LCM of 7333 and 7340?

Answer: LCM of 7333 and 7340 is 53824220.

2. 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.

3. What are the Factors of 7340?

Answer: Factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340. There are 12 integers that are factors of 7340. The greatest factor of 7340 is 7340.

4. How to Find the LCM of 7333 and 7340?

Answer:

Least Common Multiple of 7333 and 7340 = 53824220

Step 1: Find the prime factorization of 7333

7333 = 7333

Step 2: Find the prime factorization of 7340

7340 = 2 x 2 x 5 x 367

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

LCM = 53824220 = 2 x 2 x 5 x 367 x 7333

Step 4: Therefore, the least common multiple of 7333 and 7340 is 53824220.